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REVIEW 3 major objections 6 minor 87 references

Tunable chiral anomaly in electron magnetotransport in the Weyl semimetallic Pb$_{1-x}$Sn$_x$Te:Cr alloy

T0 review · 3 major / 6 minor · reviewed 2026-08-12 · deepseek-v4-flash

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Pith's one-line read The paper claims that alloy disorder in Pb$_{1-x}$Sn$_x$Te:Cr opens a finite composition window, $0.25 < x < 0.45$, in which the material behaves as a three-dimensional Weyl semimetal, with the Fermi level pinned near Weyl nodes by…

desk verdict Solid experimental study with a tunable Fermi-level window, but the Weyl claim rests on an assumed Berry phase; worth a referee, not a desk reject. read the letter →

arxiv 2608.11148 v1 pith:VOA6V5CJ submitted 2026-08-11 cond-mat.mtrl-sci

A. Królicka , E. {L}usakowska , M. Matusiak , A. Mirowska , A. {L}usakowski , T. Story , K. Dybko This is my paper · ORCID
classification cond-mat.mtrl-sci
keywords WeylsemimetalchiralanomalynegativemagnetoresistanceBerrycurvaturePb1-xSnxTe:CrresonantimpurityFermi-levelpinningShubnikov-deHaasoscillationstopologicalcrystallineinsulator
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper tries to establish that heavily Cr-doped lead-tin telluride, Pb$_{1-x}$Sn$_x$Te:Cr, is a three-dimensional Weyl semimetal for tin fractions in the window $0.25 < x < 0.45$, and not only at the single composition where the virtual-crystal approximation closes the band gap. The proposed mechanism is that cation-site alloy disorder staggers the band inversions in the four $L$ valleys, producing pairs of opposite-chirality Weyl nodes over a finite composition range, while mixed-valence Cr impurities pin the Fermi level near those nodes. The evidence is a suite of magnetotransport effects: a record-low carrier density near $x=0.38$, an intrinsic anomalous Hall effect with a Berry curvature extracted from it, negative longitudinal magnetoresistance attributed to the chiral anomaly (up to 75%, and re-entering at room temperature in one sample), quantum nonlinear Hall effect, and Shubnikov-de Haas oscillations with a $\pi$ Berry phase and 3D Maslov index. The same material class that already hosts topological crystalline insulators would, if this is right, become a compositionally tunable bulk platform for Weyl physics.

What carries the argument

The central objects are pairs of Weyl nodes of opposite chirality located near the Fermi level: points in momentum space where two bands touch linearly and act as sources and sinks of Berry flux. The mechanism that carries the argument is sequential band inversion in the four inequivalent $L$ valleys, driven by alloy disorder and broadened into a finite composition window, together with Cr$^{2+/3+}$ resonant donor states that pin the Fermi level at the nodal energy. The quantitative workhorse is the Lifshitz-Kosevich formula for Shubnikov-de Haas oscillations, whose phase factor $\gamma = \frac{1}{2} - \frac{\Phi_B}{2\pi} + \delta$ separates the Berry phase $\Phi_B$ from the Maslov index $\delta$; setting $\Phi_B = \pi$ turns the measured intercept into a 3D-topology test ($\delta \approx \pm 1/8$). Berry curvature extracted from the intrinsic anomalous Hall conductivity links these oscillations to the field-dependent transport.

What would settle it

Re-fit the Landau-level fan diagram for the $x=0.38$ sample without fixing the Berry phase, using the measured effective mass and Dingle temperature; if the intercept moves away from $\pi$ as the gap is varied by changing Cr content or applying pressure, the Weyl assignment fails. A surface-sensitive search for the predicted Fermi arcs would also settle the question, though the paper notes that the Weyl-node separation is too small for present-day angle-resolved photoemission.

Watch

Extended reading notes

Core claim

On the paper's own terms, the central discovery is that the disorder-driven sequential band inversion predicted for the multivalley $L$-point system is realized: instead of a single virtual-crystal band-inversion point, the gap closes valley by valley, and Weyl points with topological charges $\pm 1$ appear for $x = 0.28$, $0.375$, and $0.44$ in density-functional calculations. Experimentally, the signature is the strong suppression of carrier concentration to $n \approx 1\times10^{16}\,\mathrm{cm}^{-3}$ at $x=0.38$, where the Fermi level sits near the nodal touching points, and the observation of transport phenomena tied to Berry curvature: intrinsic anomalous Hall effect, chiral-anomaly negative magnetoresistance reaching 75%, quantum nonlinear Hall effect, and Shubnikov-de Haas oscillations entering the quantum limit near 5 T. The Landau-level fan gives a Berry phase read as $\pi$ with Maslov-index values of $+0.130$ and $-0.125$, which the authors take as the marker of three-dimensional Weyl states. Thermal-conductivity oscillations independently corroborate the quantum transport regime.

Load-bearing premise

The load-bearing premise is that the quantum-oscillation analysis fixes the topological Berry phase at exactly $\pi$ and assigns the entire experimental uncertainty to the secondary Maslov index $\delta$; if the true Berry phase is not $\pi$, the same Landau-level fan diagram would fit a trivial narrow-gap semiconductor, and the $x=0.38$ sample does show a small 3 meV activation gap.

Editorial extensions

If this is right

  • If the assignment holds, the Weyl phase becomes addressable by two external knobs, tin fraction and temperature, allowing a single crystal family to be switched between normal insulator, Weyl semimetal, and topological crystalline insulator.
  • Room-temperature chiral anomaly in the $x=0.4$ sample would make bulk Pb$_{1-x}$Sn$_x$Te:Cr one of the few material systems in which chiral transport can be studied away from dilution-refrigerator temperatures.
  • The low quantum-limit field of about 5 T means Landau-quantized Weyl physics is accessible with compact superconducting magnets.
  • The agreement between the chiral-anomaly coefficient and the Berry curvature inferred from the anomalous Hall effect suggests that average Berry curvature can be estimated from the two resistivity tensor components in this alloy family.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If the disorder-broadening mechanism is generic, the same sequential-inversion effect should appear in other multivalley IV-VI alloys, and hydrostatic pressure could sweep a single crystal through the Weyl window without changing composition.
  • Because the Weyl nodes are nearly touching in momentum space, their Fermi arcs should be very short; a more practical experimental test than angle-resolved photoemission might be scanning tunneling spectroscopy or a Berry-phase measurement with the Fermi level deliberately moved off the nodes.
  • The 275-310 K re-entrance of the chiral anomaly hints at a temperature-driven topological phase boundary; mapping the full Hall resistivity tensor through this region could show whether the re-entrance tracks a band-gap sign change rather than a trivial carrier-density effect.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 6 minor

Summary. The paper reports magnetotransport, thermal-conductivity, and DFT studies of Bridgman-grown Pb1-xSnxTe heavily doped with Cr across the full Sn range, and claims a 3D Weyl semimetal phase for 0.25 < x < 0.45. The evidence includes a pronounced minimum in Hall carrier concentration, intrinsic anomalous Hall effect, negative longitudinal magnetoresistance with angular suppression attributed to the chiral anomaly, quantum nonlinear Hall effect, Shubnikov-de Haas oscillations reaching the quantum limit, and first-principles supercell calculations locating Weyl nodes. The central claim is that alloy disorder broadens the VCA band-inversion point into a finite composition window in which Fermi-level pinning by Cr resonant states places the Fermi level near Weyl nodes.

Significance. If the central claim is correct, the paper would establish a tunable, composition-controlled WSM platform in a mainstream IV-VI semiconductor family, with the practical advantage of Fermi-level pinning by a resonant dopant. The dataset is broad: full composition coverage, multiple transport signatures, angular controls, exclusion of current jetting, AC/DC consistency, and SdH quantum-limit analysis. The paper also ships the first-principles framework identifying Weyl points and uses it to interpret Fermi-surface cross-sections. The main weakness is that the unique topological discriminator, the SdH Berry phase, is assumed rather than measured, and the DFT support is partly based on selected supercell configurations. These issues are fixable in revision and do not invalidate the experimental corpus.

major comments (3)
  1. [Analysis of quantum oscillations, Eq. (1), Figs. 8 and 9] The SdH Berry-phase extraction is circular in its present form. The Landau-level intercepts are reported as Maslov indices δ = 0.130 and −0.125 only after fixing Φ_B = π and assigning the entire experimental error to δ, as stated in the text around Fig. 8. But the Lifshitz-Kosevich phase obeys γ = 1/2 − Φ_B/(2π) + δ, so a gapped massive-Dirac band with gap Δ has Φ_B = π(1 − Δ/E_F). For the reported 3 meV Arrhenius gap of sample I and an estimated E_F ≈ 58 meV (n ≈ 1×10^16 cm^-3, m* ≈ 0.029 m0), Φ_B ≈ 0.95π, which shifts γ by about 0.025. This shift is comparable to the difference between the two quoted δ values and to the scatter shown in Fig. 8C. The fan diagram therefore cannot distinguish the Weyl scenario from a narrow-gap massive-Dirac band; the claimed π Berry phase is an input of the analysis, not an output. Please refit the fan diagrams with Φ_B and δ as independent parameters, or fit a two-band massive-Dirac model, and report uncertainties on Φ_B. If the data cannot discriminate, the conclusions should state that explicitly rather than claiming confirmation of a 3D WSM.
  2. [Technical details of calculations (Methods)] The DFT support is weakened by selection bias in the supercell configurations. The text states that 'usually we obtain results with positive or negative energy gaps' and that 'finding the system containing Weyl points is not an easy task,' and Table I lists only configurations that already contain Weyl points. If the supercells were selected because they produce Weyl points, the calculation cannot independently establish that the composition range 0.28 ≤ x ≤ 0.44 generically hosts Weyl nodes. Please report how many supercell configurations were sampled per composition, how many contained Weyl points, and what the distribution of gaps is. Alternatively, present a statistical or ensemble argument showing that the WSM window is robust to the choice of cation arrangement.
  3. [Chiral anomaly and alternative interpretations, Figs. 3, 6, Eq. (S6)] The angular dependence and multi-contact measurements materially strengthen the chiral-anomaly assignment, and I agree that current jetting and simple misalignment are unlikely explanations. However, the negative longitudinal magnetoresistance is modeled with Eq. (S6) using four independent parameters (C_w, C_WAL, B_c, and γ), and no quantitative comparison is made with an anisotropic-mobility or two-carrier model constrained by the measured Hall density and mobility. Since the SdH phase analysis cannot currently act as the unique topological discriminator, the chiral anomaly alone leaves the WSM identification underdetermined. Please add a model-comparison figure or a clear statement identifying which observable is incompatible with a narrow-gap massive-Dirac or anisotropic-trivial band description.
minor comments (6)
  1. [Results and discussion] There are several typos and stylistic errors: 'yelding' should be 'yielding', 'devided' should be 'divided', and the sentence beginning 'Quantum transport regime observed in magnetoresistance' in the abstract is grammatically incomplete.
  2. [Fig. 4 and accompanying text] The sample labeling is inconsistent. The text says the reentrant chiral anomaly is reported for x = 0.4, but the Fig. 4 caption refers to 'sample II', which was previously defined as x = 0.26. Please clarify which sample is shown in Fig. 4 and reconcile the notation.
  3. [Eq. (1) and Fig. 8] The fitted intercepts are quoted as δ = 0.130 and −0.125 with the statement that all error is contained in δ, but no error bars or goodness-of-fit measures are provided for the linear fits in Fig. 8A and 8B. Please report the fit uncertainties and the number of oscillations used.
  4. [Fig. 9B] The abstract states that the quantum transport regime is 'independently confirmed by thermal conductivity measurements,' but the text describes the thermal-conductivity fit as showing only 'good qualitative agreement.' Please soften the abstract claim or provide a quantitative measure of agreement.
  5. [Supplementary Note S.VIII] The attribution of the magnetic-field-periodic oscillations to Aharonov-Bohm and Altshuler-Aronov-Spivak oscillations is presented without a statistical test of periodicity in B versus 1/B, and the inferred loop area of 100 nm^2 is compared with ferromagnetic Cr-Te nanoinclusions that the main text says do not contribute to transport. Please add the spectral or index-plot analysis that supports the B-periodic assignment.
  6. [Reference list] The reference numbering contains duplicates and inconsistencies: Ref. 3 appears for two different papers and Ref. 6 also appears twice. This should be corrected before publication.

Circularity Check

1 steps flagged · score 6.0 of 10

SdH Berry-phase 'confirmation' is circular: Φ_B=π is assumed, then δ is fitted and presented as evidence for π Berry phase and 3D WSM.

  1. fitted input called prediction [Main text, 'Analysis of quantum oscillations in magnetoresistance and thermal conductivity', paragraph discussing Fig. 8A-B]
    "The obtained Maslov indexes δ are: 0.130 and -0.125 for B⊥E (Fig. 8A) and B∥E (Fig. 8B), respectively, assuming the Berry phase exactly equals π and the whole experimental error is included in δ. This confirms that our system is a 3D Weyl semimetal."

    In the Lifshitz-Kosevich formula, Eq. (1), γ = 1/2 − Φ_B/2π + δ, so the Landau-level intercept fixes only the combination γ, not Φ_B and δ separately. The authors fix Φ_B = π a priori and then read δ from the same intercept, after which δ ≈ 0.13 and −0.125 are quoted as confirming the π Berry phase and hence the 3D WSM. But a gapped or massive-Dirac band has Φ_B = π(1 − Δ/E_F); with the paper's own reported 3 meV Arrhenius gap for sample I, inside the same claimed WSM window, and a comparable Fermi energy, the phase shift Δ/(2E_F) is of the same order as the fitted δ residual. The same fan diagram is therefore equally consistent with a narrow-gap massive band. The 'extracted π Berry phase' is an input, not a measurement, and the confirmation reduces to the assumption.

full rationale

The paper's central claim is supported by several independently measured magnetotransport signatures (negative longitudinal magnetoresistance, intrinsic anomalous Hall effect, quantum nonlinear Hall effect) and by DFT calculations, and the self-citations to Refs. 12 and 47 are not by themselves circular: testing a prior prediction of the same group is legitimate. However, the SdH Berry-phase step—described by the authors as crucial evidence for the topological WSM state—explicitly fixes Φ_B = π and assigns all experimental error to the Maslov index δ, then uses the fitted δ values to claim confirmation of the π Berry phase and the 3D WSM. Because the LK phase intercept determines only γ = 1/2 − Φ_B/2π + δ, a massive or narrow-gap band with the reported 3 meV gap is equally compatible; the 'prediction' reduces to the assumed Berry phase. This is partial circularity (6), not full circularity, because the chiral-anomaly, IAHE, QNHE, and DFT evidence retains independent content. The thermal-conductivity fit does not break the circularity because it uses the same assumed Berry-phase parameters.

Assumptions & free parameters 3 free parameters · 5 assumptions · 0 invented entities

The central claim rests on three domain assumptions inherited from the authors' own prior theory (disorder-driven sequential band inversion, Cr resonant-level pinning, and the chiral-anomaly transport signature) plus two ad hoc choices in the analysis (DFT supercell selection and the fixed pi Berry phase). No fundamentally new entities are introduced; the Weyl nodes are taken from the DFT band structure and the Cr-Te nanoinclusions are established from prior magnetic characterization.

free parameters (3)
  • Pb 6p spin-orbit strength reduction factor = 0.554
    DFT pseudopotential parameter in OpenMX manually reduced from the ab initio value to reproduce the PbTe energy gap and band symmetry (Methods and Ref 80). The Weyl-point search is carried out with this tuned Hamiltonian.
  • C_w, C_WAL, B_c, gamma in Eq. S6 = temperature-dependent (representative values in Fig. S3)
    Four-parameter fits of the longitudinal magnetoconductivity separating the chiral-anomaly term (proportional to B^2) from weak antilocalization. The extracted C_w is then compared with the Berry curvature F_z, so the comparison depends on these fits.
  • Berry phase Phi_B = 3.14159 (assumed)
    Fixed to pi in the Landau-level index analysis so that the Maslov index delta is the only free phase parameter (main text, Fig. 8C). This is a hand-imposed value, not extracted from the data.
assumptions (5)
  • domain assumption Negative longitudinal magnetoresistance for B parallel to E is a unique signature of the chiral anomaly in Weyl semimetals.
    Invoked in 'Chiral anomaly and its relation with other transport results'; the interpretation relies on Son-Spivak theory and on exclusions of weak localization, current jetting, and thermoelectric effects (Supplementary Notes S.V-S.VII).
  • domain assumption Alloy disorder in Pb1-xSnxTe converts the virtual-crystal band inversion into sequential valley-by-valley inversions, creating a finite composition window of Weyl nodes.
    Taken from the authors' prior theory (Refs 12, 13, 47); the experimental phase assignment uses this as the interpretative frame for the observed transport anomalies.
  • domain assumption Cr 2+/3+ resonant donor levels pin the Fermi level in the conduction band of PbTe and in the valence band of SnTe, enabling the wide pinned regime.
    From the authors' previous work (Refs 42, 51, 52). This is central to the claim that the Fermi level sits near the nodal points across 0.25 < x < 0.45.
  • ad hoc to paper DFT supercell configurations are selected because they produce Weyl points; configurations with positive or negative gaps are discarded.
    Methods: 'Usually we obtain results with positive or negative energy gaps. That is why finding the system containing Weyl points is not an easy task.' The theoretical confirmation is therefore not a parameter-free prediction over random disorder realizations.
  • ad hoc to paper The Berry phase is exactly pi in the quantum oscillation analysis, with all error placed in the Maslov index delta.
    Main text, Fig. 8C: 'assuming the Berry phase exactly equals pi and the whole experimental error is included in delta'. This converts the phase analysis into a check of delta rather than a measurement of the Berry phase.

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Cite this review

Pith. "Pith review of Tunable chiral anomaly in electron magnetotransport in the Weyl semimetallic Pb$_{1-x}$Sn$_x$Te:Cr alloy." pith.science (2026). https://pith.science/paper/VOA6V5CJ

@misc{pith2026260811148,
  author       = {Pith},
  title        = {Pith review of: Tunable chiral anomaly in electron magnetotransport in the Weyl semimetallic Pb$_1-x$Sn$_x$Te:Cr alloy},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/VOA6V5CJ}},
  note         = {Machine review of arXiv:2608.11148}
}
abstract

We study magnetotransport properties of semiconductor substitutional alloy Pb$_{1-x}$Sn$_x$Te, known to exhibit Sn-content dependent properties of topological crystalline insulators with a semimetallic zero-gap state at a specific band inversion point. We experimentally verify the theoretically predicted role of chemical disorder in this multivalley electron system, which leads to sequential band inversions in various valleys and places the Fermi level close to the pairs of Weyl nodes, as identified in the density functional theory calculations. Doping with mixed-valence Cr resonant impurities enables exploitation of the unique properties of dopant resonant states, which provide an effective means of tuning carrier concentration. The combination of these two effects results in the pinning of the Fermi level in the vicinity of the nodal touching points across a wide range of composition. To address the above issues, we grow Bridgman bulk crystals of Pb$_{1-x}$Sn$_x$Te heavily doped with chromium and covering the full range of tin (0 $\leq x \leq$ 1), i.e. spanning both the topological crystalline insulator and trivial electronic regimes. We observe the emergence of the three dimensional (3D) Weyl semimetal phase over a range of Sn compositions, namely for $0.25 < x < 0.45$. We provide magnetotransport evidence for this and verify the relationship between the magnitude of the experimentally determined Berry curvature and the electrical properties of these materials. Quantum transport regime observed in magnetoresistance is also independently confirmed by thermal conductivity measurements.

Figures

Figures reproduced from arXiv: 2608.11148 by the authors.

Figure 1
Figure 1. (A) Schematic representation of the NaCl unit cell with Sn-induced substitutional alloy [PITH_FULL_IMAGE:figures/full_fig_p008_1.png] view at source ↗
Figure 2
Figure 2. (A) Zero-field resistivity (ρ0) versus temperature for several Pb1 –xSnxTe:Cr samples (0.06 ≤ x ≤ 0.6), covering three regions of Sn composition: normal insulator (NI), Weyl semimetallic (WSM), topological crystalline insulator (TCI). (B) The corresponding Hall resistivity (ρyx) versus magnetic field dependencies for chosen representative temperatures (T = 50 K for x = 0.29, T = 100 K for x = 0.38; for other samples… view at source ↗
Figure 3
Figure 3. Resistivity as a function of magnetic field for representative samples from the WSM com [PITH_FULL_IMAGE:figures/full_fig_p012_3.png] view at source ↗
Figures from the paper (8 more)
Figure 4
Figure 4. Figure 4: Magnetic field and temperature dependence of the magnetoresistance ∆ [PITH_FULL_IMAGE:figures/full_fig_p014_4.png]
Figure 5
Figure 5. Figure 5: Magneto-transport results for sample I ( [PITH_FULL_IMAGE:figures/full_fig_p016_5.png]
Figure 6
Figure 6. Figure 6: (A) Magnetoresistance ∆ρ∥ as a function of magnetic field B for different angles θ between electric and magnetic fields. (B) Angular-dependent ∆ρ∥ showing gradual suppression of negative contribution as the angle θ increases. Since the negative magnetoresistance is mos…
Figure 7
Figure 7. Figure 7: Analysis of the SdH oscillations for sample II ( [PITH_FULL_IMAGE:figures/full_fig_p019_7.png]
Figure 8
Figure 8. Figure 8: Landau level index plots as a function of inverse magnetic field for sample II in two mea [PITH_FULL_IMAGE:figures/full_fig_p021_8.png]
Figure 9
Figure 9. Figure 9: Fitting of the Lifshitz-Kosevich formula using the determined material parameters to [PITH_FULL_IMAGE:figures/full_fig_p023_9.png]
Figure 10
Figure 10. Figure 10: (A) Angular evolution of the SdH oscillation frequency [PITH_FULL_IMAGE:figures/full_fig_p024_10.png]
Figure 11
Figure 11. Figure 11: Dispersion relations for the lowest conduction and the highest valence bands in the [PITH_FULL_IMAGE:figures/full_fig_p026_11.png]

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Reference graph

Works this paper leans on

87 extracted references · 52 canonical work pages

  1. [1]

    author author B. A. \ Bernevig , author T. L. \ Hughes , \ and\ author S.-C. \ Zhang ,\ 10.1126/science.1133734 journal journal Science \ volume 314 ,\ pages 1757 ( year 2006 ) NoStop

    doi:10.1126/science.1133734 2006

  2. [2]

    Fu , author C

    author author L. Fu , author C. L. \ Kane , \ and\ author E. J. \ Mele ,\ 10.1103/PhysRevLett.98.106803 journal journal Physical Review Letters \ volume 98 ,\ pages 106803 ( year 2007 ) NoStop

    doi:10.1103/physrevlett.98.106803 2007

  3. [3]

    Zhang , author C.-X

    author author H. Zhang , author C.-X. \ Liu , author X.-L. \ Qi , author X. Dai , author Z. Fang , \ and\ author S.-C. \ Zhang ,\ 10.1038/nphys1270 journal journal Nature Physics \ volume 5 ,\ pages 438 ( year 2009 ) NoStop

    doi:10.1038/nphys1270 2009

  4. [4]

    author author M. Z. \ Hasan \ and\ author C. L. \ Kane ,\ 10.1103/RevModPhys.82.3045 journal journal Reviews of Modern Physics \ volume 82 ,\ pages 3045 ( year 2010 ) NoStop

    doi:10.1103/revmodphys.82.3045 2010

  5. [5]

    author author J. E. \ Moore ,\ 10.1038/nature08916 journal journal Nature \ volume 464 ,\ pages 194 ( year 2010 ) NoStop

    doi:10.1038/nature08916 2010

  6. [6]

    Ando ,\ 10.7566/JPSJ.82.102001 journal journal Journal of the Physical Society of Japan \ volume 82 ,\ pages 102001 ( year 2013 ) NoStop

    author author Y. Ando ,\ 10.7566/JPSJ.82.102001 journal journal Journal of the Physical Society of Japan \ volume 82 ,\ pages 102001 ( year 2013 ) NoStop

    doi:10.7566/jpsj.82.102001 2013

  7. [7]

    Dziawa , author B

    author author P. Dziawa , author B. J. \ Kowalski , author K. Dybko , author R. Buczko , author A. Szczerbakow , author M. Szot , author E. Łusakowska , author T. Balasubramanian , author B. M. \ Wojek , author M. H. \ Berntsen , author O. Tjernberg , \ and\ author T. Story ,\ 10.1038/nmat3449 journal journal Nature Materials \ volume 11 ,\ pages 1023 ( y...

    work page doi:10.1038/nmat3449

  8. [8]

    Tanaka , author Z

    author author Y. Tanaka , author Z. Ren , author T. Sato , author K. Nakayama , author S. Souma , author T. Takahashi , author K. Segawa , \ and\ author Y. Ando ,\ 10.1038/nphys2442 journal journal Nature Physics \ volume 8 ,\ pages 800 ( year 2012 ) NoStop

    work page doi:10.1038/nphys2442

Show all 87 references
  1. [9]

    \ Xu , author C

    author author S.-Y. \ Xu , author C. Liu , author N. Alidoust , author M. Neupane , author D. Qian , author I. Belopolski , author J. Denlinger , author Y. Wang , author H. Lin , author L. Wray , author G. Landolt , author B. Slomski , author J. Dil , author A. Marcinkova , au...

    doi

  2. [10]

    Ando \ and\ author L

    author author Y. Ando \ and\ author L. Fu ,\ 10.1146/annurev-conmatphys-031214-014501 journal journal Annual Review of Condensed Matter Physics \ volume 6 ,\ pages 361 ( year 2015 ) NoStop

    2015 doi

  3. [11]

    Fu ,\ 10.1103/PhysRevLett.106.106802 journal journal Physical Review Letters \ volume 106 ,\ pages 106802 ( year 2011 ) NoStop

    author author L. Fu ,\ 10.1103/PhysRevLett.106.106802 journal journal Physical Review Letters \ volume 106 ,\ pages 106802 ( year 2011 ) NoStop

    2011 doi

  4. [12]

    Łusakowski , author P

    author author A. Łusakowski , author P. Bogusławski , \ and\ author T. Story ,\ 10.1103/PhysRevB.98.125203 journal journal Physical Review B \ volume 98 ,\ pages 125203 ( year 2018 ) NoStop

    2018 doi

  5. [13]

    Wang , author Q

    author author Z. Wang , author Q. Liu , author J.-W. \ Luo , \ and\ author A. Zunger ,\ 10.1039/C9MH00574A journal journal Materials Horizons \ volume 6 ,\ pages 2124 ( year 2019 ) NoStop

    2019 doi

  6. [14]

    Liang , author S

    author author T. Liang , author S. Kushwaha , author J. Kim , author Q. Gibson , author J. Lin , author N. Kioussis , author R. J. \ Cava , \ and\ author N. P. \ Ong ,\ 10.1126/sciadv.1602510 journal journal Science Advances \ volume 3 ,\ pages e1602510 ( year 2017 ) NoStop

    doi

  7. [15]

    Weyl ,\ 10.1007/BF01339504 journal journal Zeitschrift für Physik \ volume 56 ,\ pages 330 ( year 1929 ) NoStop

    author author H. Weyl ,\ 10.1007/BF01339504 journal journal Zeitschrift für Physik \ volume 56 ,\ pages 330 ( year 1929 ) NoStop

    1929 doi

  8. [16]

    Zeljkovic , author Y

    author author I. Zeljkovic , author Y. Okada , author M. Serbyn , author R. Sankar , author D. Walkup , author W. Zhou , author J. Liu , author G. Chang , author Y. J. \ Wang , author M. Z. \ Hasan , author F. Chou , author H. Lin , author A. Bansil , author L. Fu , \ and\ aut...

    doi

  9. [17]

    Orbanić , author M

    author author F. Orbanić , author M. Novak , author M. Baćani , \ and\ author I. Kokanović ,\ 10.1103/PhysRevB.95.035208 journal journal Physical Review B \ volume 95 ,\ pages 035208 ( year 2017 ) NoStop

    2017 doi

  10. [18]

    author author D. T. \ Son \ and\ author B. Z. \ Spivak ,\ 10.1103/PhysRevB.88.104412 journal journal Physical Review B \ volume 88 ,\ pages 104412 ( year 2013 ) NoStop

    2013 doi

  11. [19]

    \ Kim , author K.-S

    author author H.-J. \ Kim , author K.-S. \ Kim , author J.-F. \ Wang , author M. Sasaki , author N. Satoh , author A. Ohnishi , author M. Kitaura , author M. Yang , \ and\ author L. Li ,\ 10.1103/PhysRevLett.111.246603 journal journal Physical Review Letters \ volume 111 ,\ pa...

    doi

  12. [20]

    Burkov ,\ 10.1103/PhysRevLett.113.247203 journal journal Physical Review Letters \ volume 113 ,\ pages 247203 ( year 2014 ) NoStop

    author author A. Burkov ,\ 10.1103/PhysRevLett.113.247203 journal journal Physical Review Letters \ volume 113 ,\ pages 247203 ( year 2014 ) NoStop

    2014 doi

  13. [21]

    Hirschberger , author S

    author author M. Hirschberger , author S. Kushwaha , author Z. Wang , author Q. Gibson , author S. Liang , author C. Belvin , author B. Bernevig , author R. Cava , \ and\ author N. Ong ,\ 10.1038/nmat4684 journal journal Nature Materials \ volume 15 ,\ pages 1161 ( year 2016 ) NoStop

    doi

  14. [22]

    \ Li , author L.-X

    author author C.-Z. \ Li , author L.-X. \ Wang , author H. Liu , author J. Wang , author Z.-M. \ Liao , \ and\ author D.-P. \ Yu ,\ 10.1038/ncomms10137 journal journal Nature Communications \ volume 6 ,\ pages 10137 ( year 2015 ) NoStop

    doi

  15. [23]

    Zhang , author E

    author author C. Zhang , author E. Zhang , author W. Wang , author Y. Liu , author Z.-G. \ Chen , author S. Lu , author S. Liang , author J. Cao , author X. Yuan , author L. Tang , author Q. Li , author C. Zhou , author T. Gu , author Y. Wu , author J. Zou , \ and\ author F. X...

    doi

  16. [24]

    Xiong , author S

    author author J. Xiong , author S. K. \ Kushwaha , author T. Liang , author J. W. \ Krizan , author M. Hirschberger , author W. Wang , author R. J. \ Cava , \ and\ author N. P. \ Ong ,\ 10.1126/science.aac6089 journal journal Science \ volume 350 ,\ pages 413 ( year 2015 a ) NoStop

    doi

  17. [25]

    Xiong , author S

    author author J. Xiong , author S. K. \ Kushwaha , author T. Liang , author J. W. \ Krizan , author W. Wang , author R. J. \ Cava , \ and\ author N. P. \ Ong ,\ 10.48550/ARXIV.1503.08179 title Signature of the chiral anomaly in a Dirac semimetal: a current plume steered by a m...

    doi arXiv

  18. [26]

    Huang , author L

    author author X. Huang , author L. Zhao , author Y. Long , author P. Wang , author D. Chen , author Z. Yang , author H. Liang , author M. Xue , author H. Weng , author Z. Fang , author X. Dai , \ and\ author G. Chen ,\ 10.1103/PhysRevX.5.031023 journal journal Physical Review ...

    doi

  19. [27]

    \ Zhang , author S.-Y

    author author C.-L. \ Zhang , author S.-Y. \ Xu , author I. Belopolski , author Z. Yuan , author Z. Lin , author B. Tong , author G. Bian , author N. Alidoust , author C.-C. \ Lee , author S.-M. \ Huang , author T.-R. \ Chang , author G. Chang , author C.-H. \ Hsu , author H.-...

  20. [28]

    Hu , author J

    author author J. Hu , author J. Y. \ Liu , author D. Graf , author S. M. A. \ Radmanesh , author D. J. \ Adams , author A. Chuang , author Y. Wang , author I. Chiorescu , author J. Wei , author L. Spinu , \ and\ author Z. Q. \ Mao ,\ 10.1038/srep18674 journal journal Scientifi...

    doi

  21. [29]

    Polaczyński , author G

    author author J. Polaczyński , author G. Krizman , author A. Kazakov , author B. Turowski , author J. B. \ Ortiz , author R. Rudniewski , author T. Wojciechowski , author P. Dłużewski , author M. Aleszkiewicz , author W. Zaleszczyk , author B. Kurowska , author Z. Muhammad , a...

    doi

  22. [30]

    author author P. N. \ Argyres \ and\ author E. N. \ Adams ,\ 10.1103/PhysRev.104.900 journal journal Physical Review \ volume 104 ,\ pages 900 ( year 1956 ) NoStop

    1956 doi

  23. [31]

    author author A. A. \ Abrikosov ,\ 10.1103/PhysRevB.58.2788 journal journal Physical Review B \ volume 58 ,\ pages 2788 ( year 1998 ) NoStop

    1998 doi

  24. [32]

    author author C. M. \ Wang \ and\ author X. L. \ Lei ,\ 10.1103/PhysRevB.86.035442 journal journal Physical Review B \ volume 86 ,\ pages 035442 ( year 2012 ) NoStop

    2012 doi

  25. [33]

    Sodemann \ and\ author L

    author author I. Sodemann \ and\ author L. Fu ,\ 10.1103/PhysRevLett.115.216806 journal journal Physical Review Letters \ volume 115 ,\ pages 216806 ( year 2015 ) NoStop

    2015 doi

  26. [34]

    author author E. H. \ Hall ,\ https://api.semanticscholar.org/CorpusID:107500183 journal journal American Journal of Science \ volume s3-19 ,\ pages 200 ( year 1879 ) NoStop

  27. [35]

    Fang , author N

    author author Z. Fang , author N. Nagaosa , author K. S. \ Takahashi , author A. Asamitsu , author R. Mathieu , author T. Ogasawara , author H. Yamada , author M. Kawasaki , author Y. Tokura , \ and\ author K. Terakura ,\ 10.1126/science.1089408 journal journal Science \ volum...

    doi

  28. [36]

    author author F. D. M. \ Haldane ,\ 10.1103/PhysRevLett.93.206602 journal journal Phys. Rev. Lett. \ volume 93 ,\ pages 206602 ( year 2004 ) NoStop

    2004 doi

  29. [37]

    author author N. A. \ Sinitsyn , author Q. Niu , author J. Sinova , \ and\ author K. Nomura ,\ 10.1103/PhysRevB.72.045346 journal journal Physical Review B \ volume 72 ,\ pages 045346 ( year 2005 ) NoStop

    2005 doi

  30. [38]

    Nagaosa ,\ 10.1143/JPSJ.75.042001 journal journal Journal of the Physical Society of Japan \ volume 75 ,\ pages 042001 ( year 2006 ) NoStop

    author author N. Nagaosa ,\ 10.1143/JPSJ.75.042001 journal journal Journal of the Physical Society of Japan \ volume 75 ,\ pages 042001 ( year 2006 ) NoStop

    2006 doi

  31. [39]

    Wang , author D

    author author X. Wang , author D. Vanderbilt , author J. R. \ Yates , \ and\ author I. Souza ,\ 10.1103/PhysRevB.76.195109 journal journal Phys. Rev. B \ volume 76 ,\ pages 195109 ( year 2007 ) NoStop

    2007 doi

  32. [40]

    author author A. M. Werpachowska ,\ title Spin waves and the anomalous Hall effect in ferromagnetic ( Ga , Mn ) As ,\ @noop Ph.D. thesis ,\ school Institute of Physics, Polish Academy of Sciences , address Warsaw ( year 2011 ) NoStop

    2011

  33. [41]

    Nagaosa , author J

    author author N. Nagaosa , author J. Sinova , author S. Onoda , author A. H. \ MacDonald , \ and\ author N. P. \ Ong ,\ 10.1103/RevModPhys.82.1539 journal journal Rev. Mod. Phys. \ volume 82 ,\ pages 1539 ( year 2010 ) NoStop

    2010 doi

  34. [42]

    Królicka , author K

    author author A. Królicka , author K. Gas , author W. Dobrowolski , author H. Przybylińska , author Y. K. \ Edathumkandy , author J. Korczak , author E. Łusakowska , author R. Minikayev , author A. Reszka , author R. Jakieła , author L. Kowalczyk , author A. Mirowska , author ...

    doi

  35. [43]

    author author J. P. \ Heremans , author V. Jovovic , author E. S. \ Toberer , author A. Saramat , author K. Kurosaki , author A. Charoenphakdee , author S. Yamanaka , \ and\ author G. J. \ Snyder ,\ 10.1126/science.1159725 journal journal Science \ volume 321 ,\ pages 554 ( ye...

    doi

  36. [44]

    author author J. P. \ Heremans , author B. Wiendlocha , \ and\ author A. M. \ Chamoire ,\ 10.1039/C1EE02612G journal journal Energy Environ. Sci. \ volume 5 ,\ pages 5510 ( year 2012 ) NoStop

    2012 doi

  37. [45]

    Królicka \ and\ author M

    author author A. Królicka \ and\ author M. Michalska ,\ 10.1016/j.physb.2017.06.004 journal journal Physica B: Condensed Matter \ volume 520 ,\ pages 89 ( year 2017 ) NoStop

    2017 doi

  38. [46]

    author author A. K. \ Królicka , author A. Mirowska , author A. Materna , \ and\ author M. Piersa ,\ 10.1002/crat.201600376 journal journal Crystal Research and Technology \ volume 52 ,\ pages 1600376 ( year 2017 ) NoStop

    2017 doi

  39. [47]

    Łusakowski , author P

    author author A. Łusakowski , author P. Bogusławski , \ and\ author T. Story ,\ 10.1103/PhysRevB.103.045202 journal journal Physical Review B \ volume 103 ,\ pages 045202 ( year 2021 ) NoStop

    2021 doi

  40. [48]

    Nishijima , author T

    author author T. Nishijima , author T. Watanabe , author H. Sekiguchi , author Y. Ando , author E. Shigematsu , author R. Ohshima , author S. Kuroda , \ and\ author M. Shiraishi ,\ 10.1021/acs.nanolett.2c04900 journal journal Nano Letters \ volume 23 ,\ pages 2247 ( year 2023 ) NoStop

    doi

  41. [49]

    \ Zhang , author T

    author author C.-L. \ Zhang , author T. Liang , author Y. Kaneko , author N. Nagaosa , \ and\ author Y. Tokura ,\ 10.1038/s41535-022-00512-z journal journal npj Quantum Materials \ volume 7 ,\ pages 1 ( year 2022 ) NoStop

    2022 doi

  42. [50]

    Kaidanov , author S

    author author V. Kaidanov , author S. Nemov , \ and\ author Y. Ravich ,\ @noop journal journal Fiz. Tekh. Poluprovodn. \ volume 26 ,\ pages 201 ( year 1992 ) NoStop

    1992

  43. [51]

    Story , author E

    author author T. Story , author E. Grodzicka , author B. Witkowska , author J. Górecka , \ and\ author W. Dobrowolski ,\ 10.12693/APhysPolA.82.879 journal journal Acta Physica Polonica A \ volume 82 ,\ pages 879 ( year 1992 ) NoStop

    1992 doi

  44. [52]

    Łusakowski , author P

    author author A. Łusakowski , author P. Bogusławski , \ and\ author T. Story ,\ 10.1016/j.ssc.2025.116015 journal journal Solid State Communications \ volume 404 ,\ pages 116015 ( year 2025 ) NoStop

    2025

  45. [53]

    Okazaki \ and\ author T

    author author S. Okazaki \ and\ author T. Sasagawa ,\ 10.1103/dnv7-4xgd journal journal Physical Review Materials \ volume 10 ,\ pages L051202 ( year 2026 ) NoStop

    2026 doi

  46. [54]

    author author J. G. \ Checkelsky , author Y. S. \ Hor , author M.-H. \ Liu , author D.-X. \ Qu , author R. J. \ Cava , \ and\ author N. P. \ Ong ,\ 10.1103/PhysRevLett.103.246601 journal journal Physical Review Letters \ volume 103 ,\ pages 246601 ( year 2009 ) NoStop

    doi

  47. [55]

    Chen , author H

    author author J. Chen , author H. J. \ Qin , author F. Yang , author J. Liu , author T. Guan , author F. M. \ Qu , author G. H. \ Zhang , author J. R. \ Shi , author X. C. \ Xie , author C. L. \ Yang , author K. H. \ Wu , author Y. Q. \ Li , \ and\ author L. Lu ,\ 10.1103/Phys...

    doi

  48. [56]

    author author Y. S. \ Kim , author M. Brahlek , author N. Bansal , author E. Edrey , author G. A. \ Kapilevich , author K. Iida , author M. Tanimura , author Y. Horibe , author S.-W. \ Cheong , \ and\ author S. Oh ,\ 10.1103/PhysRevB.84.073109 journal journal Physical Review B...

    doi

  49. [57]

    Shen , author Y

    author author J. Shen , author Y. Xie , \ and\ author J. J. \ Cha ,\ 10.1021/acs.nanolett.5b00576 journal journal Nano Letters \ volume 15 ,\ pages 3827 ( year 2015 ) NoStop

    2015 doi

  50. [58]

    Li , author Z

    author author Y. Li , author Z. Wang , author P. Li , author X. Yang , author Z. Shen , author F. Sheng , author X. Li , author Y. Lu , author Y. Zheng , \ and\ author Z.-A. \ Xu ,\ 10.1007/s11467-016-0636-8 journal journal Frontiers of Physics \ volume 12 ,\ pages 127205 ( ye...

    doi

  51. [59]

    Liang , author J

    author author S. Liang , author J. Lin , author S. Kushwaha , author J. Xing , author N. Ni , author R. Cava , \ and\ author N. Ong ,\ 10.1103/PhysRevX.8.031002 journal journal Physical Review X \ volume 8 ,\ pages 031002 ( year 2018 ) NoStop

    doi

  52. [60]

    \ Lu \ and\ author S.-Q

    author author H.-Z. \ Lu \ and\ author S.-Q. \ Shen ,\ 10.1103/PhysRevB.92.035203 journal journal Physical Review B \ volume 92 ,\ pages 035203 ( year 2015 ) NoStop

    2015 doi

  53. [61]

    Bergmann ,\ 10.1016/0370-1573(84)90103-0 journal journal Physics Reports \ volume 107 ,\ pages 1 ( year 1984 ) NoStop

    author author G. Bergmann ,\ 10.1016/0370-1573(84)90103-0 journal journal Physics Reports \ volume 107 ,\ pages 1 ( year 1984 ) NoStop

    1984 doi

  54. [62]

    author author G. R. \ Taylor , author A. Isin , \ and\ author R. V. \ Coleman ,\ 10.1103/PhysRev.165.621 journal journal Physical Review \ volume 165 ,\ pages 621 ( year 1968 ) NoStop

    1968 doi

  55. [63]

    Ritchie , author G

    author author L. Ritchie , author G. Xiao , author Y. Ji , author T. Y. \ Chen , author C. L. \ Chien , author M. Zhang , author J. Chen , author Z. Liu , author G. Wu , \ and\ author X. X. \ Zhang ,\ 10.1103/PhysRevB.68.104430 journal journal Physical Review B \ volume 68 ,\ ...

    doi

  56. [64]

    Fert ,\ 10.1103/RevModPhys.80.1517 journal journal Reviews of Modern Physics \ volume 80 ,\ pages 1517 ( year 2008 ) NoStop

    author author A. Fert ,\ 10.1103/RevModPhys.80.1517 journal journal Reviews of Modern Physics \ volume 80 ,\ pages 1517 ( year 2008 ) NoStop

    2008 doi

  57. [65]

    author author R. D. D. \ Reis , author M. O. \ Ajeesh , author N. Kumar , author F. Arnold , author C. Shekhar , author M. Naumann , author M. Schmidt , author M. Nicklas , \ and\ author E. Hassinger ,\ 10.1088/1367-2630/18/8/085006 journal journal New Journal of Physics \ vol...

    doi

  58. [66]

    author author M. M. \ Parish \ and\ author P. B. \ Littlewood ,\ 10.1103/PhysRevB.72.094417 journal journal Physical Review B \ volume 72 ,\ pages 094417 ( year 2005 ) NoStop

    2005 doi

  59. [67]

    Hu , author M

    author author J. Hu , author M. M. \ Parish , \ and\ author T. F. \ Rosenbaum ,\ 10.1103/PhysRevB.75.214203 journal journal Physical Review B \ volume 75 ,\ pages 214203 ( year 2007 ) NoStop

    2007 doi

  60. [68]

    Adams \ and\ author T

    author author E. Adams \ and\ author T. Holstein ,\ https://doi.org/10.1016/0022-3697(59)90002-2 journal journal Journal of Physics and Chemistry of Solids \ volume 10 ,\ pages 254 ( year 1959 ) NoStop

    1959 doi

  61. [69]

    author author L. M. \ Roth \ and\ author P. N. \ Argyres ,\ in\ https://doi.org/10.1016/S0080-8784(08)62379-0 booktitle Semiconductors and Semimetals ,\ series Semiconductors and Semimetals , Vol. volume 1 ,\ editor edited by\ editor R. Willardson \ and\ editor A. C. \ Beer \ ...

    doi

  62. [70]

    author author D. Shoenberg ,\ in\ @noop booktitle Magnetic Oscillations in Metals ,\ series and number Cambridge Monographs on Physics \ ( publisher Cambridge University Press ,\ year 1984 )\ p.\ pages 22–82 NoStop

    1984

  63. [71]

    author author F. D. M. \ Haldane ,\ 10.48550/ARXIV.1401.0529 \ ( year 2014 ),\ 10.48550/ARXIV.1401.0529 ,\ note version Number: 1 NoStop

    2014 doi arXiv

  64. [72]

    author author A. C. \ Potter , author I. Kimchi , \ and\ author A. Vishwanath ,\ 10.1038/ncomms6161 journal journal Nature Communications \ volume 5 ,\ pages 5161 ( year 2014 ) NoStop

    2014 doi

  65. [73]

    Zhang , author D

    author author Y. Zhang , author D. Bulmash , author P. Hosur , author A. C. \ Potter , \ and\ author A. Vishwanath ,\ 10.1038/srep23741 journal journal Scientific Reports \ volume 6 ,\ pages 23741 ( year 2016 b ) NoStop

    2016 doi

  66. [74]

    author author G. P. \ Mikitik \ and\ author Y. V. \ Sharlai ,\ 10.1103/PhysRevB.77.113407 journal journal Phys. Rev. B \ volume 77 ,\ pages 113407 ( year 2008 ) NoStop

    2008 doi

  67. [75]

    author author J. R. \ Burke , author B. Houston , \ and\ author H. T. \ Savage ,\ 10.1103/PhysRevB.2.1977 journal journal Physical Review B \ volume 2 ,\ pages 1977 ( year 1970 ) NoStop

    1977 doi

  68. [76]

    Gas , author A

    author author K. Gas , author A. Królicka , author K. Dybko , author P. Nowicki , author Z. Khosravizadeh , author T. Story , \ and\ author M. Sawicki ,\ 10.1016/j.jmmm.2021.168154 journal journal Journal of Magnetism and Magnetic Materials \ volume 537 ,\ pages 168154 ( year ...

    2021

  69. [77]

    Story , author Z

    author author T. Story , author Z. Wilamowski , author E. Grodzicka , author W. Dobrowolski , author B. Witkowska , \ and\ author J. Voiron ,\ 10.12693/APhysPolA.87.229 journal journal Acta Physica Polonica A \ volume 87 ,\ pages 229 ( year 1995 ) NoStop

    doi

  70. [78]

    Matusiak ,\ 10.1088/1361-6668/ae783a journal journal Superconductor Science and Technology \ volume 39 ,\ pages 065016 ( year 2026 ) NoStop

    author author M. Matusiak ,\ 10.1088/1361-6668/ae783a journal journal Superconductor Science and Technology \ volume 39 ,\ pages 065016 ( year 2026 ) NoStop

    2026 doi

  71. [79]

    @noop howpublished See https://www.openmx-square.org/ NoStop

  72. [80]

    Łusakowski , author P

    author author A. Łusakowski , author P. Bogusławski , \ and\ author T. Radzyński ,\ 10.1103/PhysRevB.83.115206 journal journal Physical Review B \ volume 83 ,\ pages 115206 ( year 2011 ) NoStop

    2011 doi

  73. [81]

    Jungwirth , author Q

    author author T. Jungwirth , author Q. Niu , \ and\ author A. H. \ MacDonald ,\ 10.1103/PhysRevLett.88.207208 journal journal Physical Review Letters \ volume 88 ,\ pages 207208 ( year 2002 ) NoStop

    2002 doi

  74. [82]

    author author N. P. \ Ong \ and\ author W.-L. \ Lee ,\ in\ @noop booktitle in Foundations of Quantum Mechanics in the Light of New Technology ( Proceedings of ISQM Tokyo ) ,\ editor edited by\ editor S. Ishioka \ and\ editor K. Fujikawa \ ( publisher WORLD SCIENTIFIC, Singapor...

    2005

  75. [83]

    \ Zhang , author S.-Y

    author author C.-L. \ Zhang , author S.-Y. \ Xu , author I. Belopolski , author Z. Yuan , author Z. Lin , author B. Tong , author G. Bian , author N. Alidoust , author C.-C. \ Lee , author S.-M. \ Huang , author T.-R. \ Chang , author G. Chang , author C.-H. \ Hsu , author H.-...

  76. [84]

    Fukuyama ,\ 10.1143/PTP.69.220 journal journal Progress of Theoretical Physics Supplement \ volume 69 ,\ pages 220 ( year 1980 ) NoStop

    author author H. Fukuyama ,\ 10.1143/PTP.69.220 journal journal Progress of Theoretical Physics Supplement \ volume 69 ,\ pages 220 ( year 1980 ) NoStop

    1980 doi

  77. [85]

    Figielski , author T

    author author T. Figielski , author T. Wosiński , \ and\ author A. Makosa ,\ 10.1002/1521-3951(200011)222:1<151::AID-PSSB151>3.0.CO;2-D journal journal physica status solidi (b) \ volume 222 ,\ pages 151 ( year 2000 ) NoStop

    doi

  78. [86]

    author author C. M. \ Wang , author H.-Z. \ Lu , \ and\ author X. C. \ Xie ,\ 10.1103/PhysRevB.102.041204 journal journal Physical Review B \ volume 102 ,\ pages 041204 ( year 2020 ) NoStop

    2020 doi

  79. [87]

    Ezawa ,\ 10.1103/PhysRevB.94.195205 journal journal Physical Review B \ volume 94 ,\ pages 195205 ( year 2016 ) NoStop

    author author M. Ezawa ,\ 10.1103/PhysRevB.94.195205 journal journal Physical Review B \ volume 94 ,\ pages 195205 ( year 2016 ) NoStop

    2016 doi

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