Pith. sign in

REVIEW 3 major objections 4 minor 74 references

Unconventional Magnetism, Sliding Ferroelectricity, and Magneto-Optical Kerr Effects in a Multiferroic Bilayer

T0 review · 3 major / 4 minor · reviewed 2026-08-06 · deepseek-v4-flash

Challenge this review Re-run · record.json Download PDF Read on arXiv ↗

Pith's one-line read Sliding one layer of an antiferromagnetic MXene bilayer reverses spin polarization, valley polarization, and the Kerr angle.

desk verdict A solid symmetry-driven DFT study of a sliding-ferroelectric MXene bilayer whose central 'compensated ferrimagnet' claim rests on a misapplied Luttinger theorem; the paper is worth refereeing but needs a major revision. read the letter →

arxiv 2507.06638 v1 pith:FRRITHBN submitted 2025-07-09 cond-mat.mtrl-sci cond-mat.mes-hall

Chen Xinfeng , Ding Ning , Paolo Barone , Carlo Rizza , Shuai Dong , Wei Ren , Paolo G. Radaelli , Gaoyang Gou
show 1 more author
Alessandro Stroppa
This is my paper
classification cond-mat.mtrl-scicond-mat.mes-hall
keywords altermagnetismslidingferroelectricitycompensatedferrimagnetismmagneto-opticalKerreffectspin-valleylockingH'-Co2CF2MXenespin-spacesymmetryfirst-principlesDFT
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 argues that interlayer sliding in the $H'$-Co$_2$CF$_2$ MXene bilayer is a switch for the material's electronic, magnetic, and magneto-optical order. In the nonpolar $AA'$-stacked phase, a mirror plane between the layers keeps the two-dimensional bands spin-degenerate, while the same stacking in a three-dimensional bulk would show altermagnetic spin-splitting along $k_z \neq 0$ paths, a dimension-driven crossover. Sliding to the ferroelectric stacking breaks that mirror symmetry, stabilizes compensated ferrimagnetism, and produces spin-split bands even without spin-orbit coupling. With spin-orbit coupling the bands become 'alternating' in spin polarization, and the paper predicts that switching either the ferroelectric polarization or the Néel vector reverses the spin polarization, valley polarization, and Kerr angle. If correct, this gives a single material in which electric and magnetic switching both control a magneto-optical response in the visible range.

What carries the argument

The load-bearing object is the horizontal mirror plane $M_c$ midway between the two monolayers. In the nonpolar phase it combines with a 180-degree spin rotation into the spin-space symmetry $[C_2\|M_c]$, which enforces Kramers-like degeneracy in two dimensions and allows altermagnetic splitting only along $k_z \neq 0$ in three dimensions. Removing $M_c$ by interlayer sliding changes the magnetic point group from $\bar{6}'m'2$ to $3m'1$, which is compatible with ferromagnetism and yields a compensated ferrimagnet; the resulting inequivalent Zeeman-like exchange fields on the two monolayers split the bands without SOC, and the polar environment adds Rashba coupling when SOC is included. Symmetry analysis of the four states $(\pm P, \pm L)$ and a $k\cdot p$ model tie the sign changes of spin textures, valley polarization, and Kerr angle to the operations $T$, $M_c$, and $T M_c$.

What would settle it

Spin-resolved angle-resolved photoemission on $AA'$-stacked $H'$-Co$_2$CF$_2$ films of increasing thickness would settle the central claim: the paper predicts no non-relativistic spin splitting in the 2D limit and splitting only at $k_z \neq 0$ in thicker crystals; observing 2D splitting at $k_z=0$, or no bulk splitting, would refute it.

Watch

Extended reading notes

Core claim

The central claim is that $H'$-Co$_2$CF$_2$ realizes two magnetic-electronic regimes that are connected by a simple layer slide. In the paraelectric $AA'$-stacked bilayer, the mirror plane $M_c$ relates the two opposite ferromagnetic monolayers; because every wavevector in the 2D Brillouin zone is invariant under $M_c$, the non-relativistic bands remain spin-degenerate, whereas the same stacking in a 3D bulk phase permits altermagnetic splitting at $k_z \neq 0$. Sliding one monolayer by $[2/3,1/3]$ or $[1/3,2/3]$ breaks $M_c$ and forms a ferroelectric $P3m1$ phase with polarization $P=\pm 2.17\,\mu\mathrm{C}/\mathrm{cm}^2$ and a fully compensated ferrimagnetic order. This FE phase shows Zeeman-like spin-split bands without SOC, and with SOC the accidental degeneracies are lifted, producing 'alternating' spin-polarized bands from the interplay of Rashba and Zeeman effects. The paper also predicts a spontaneous ferro-valley polarization of about $\pm 49$ meV and a Kerr angle up to $0.37^\circ$ in the visible range, whose sign reverses when either $P$ or the Néel vector $L$ is switched and stays unchanged when both are switched.

Load-bearing premise

The dimension-driven crossover assumes that the hypothetical 3D bulk of $H'$-Co$_2$CF$_2$ with the same $AA'$ stacking and the same antiferromagnetic order is the actual bulk material, but the real bulk ground state has not been measured.

Editorial extensions

If this is right

  • A single antiferromagnetic bilayer can be switched between spin-degenerate and spin-split electronic regimes through a structural slide that also reverses the out-of-plane polarization.
  • The sign of the Kerr angle follows the out-of-plane spin component: it flips under polarization reversal or Néel-vector reversal, so both electrical and magnetic switching can write the same logical state in a MOKE-based device.
  • The 2D paraelectric and the 3D bulk forms with identical stacking belong to different altermagnetic regimes, so thickness is a control parameter for non-relativistic spin splitting.
  • The FE phase is a symmetry-compatible ferromagnet with zero net magnetization, meaning the predicted MOKE does not require a net magnetic moment.
  • Switching $P$ and $L$ simultaneously leaves the Kerr angle unchanged, providing an experimental signature of the $M_c$ operation.

Reading between the lines

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

  • Editorial inference: If the symmetry argument generalizes, other $AA'$-stacked magnetic MXene or van der Waals bilayers with a mirror-related sublattice pair should show the same 2D-degenerate to 3D-split crossover, and thickness-dependent spin-resolved photoemission could map it.
  • Editorial inference: The same sliding mechanism may extend to non-MXene compensated magnets, since the essential ingredient is a mirror operation that a ferroelectric shear displacement breaks.
  • Editorial inference: The predicted enhancement of the Kerr angle to about $14^\circ$ on a low-index substrate suggests a direct optical test: the angle should switch sign under an electric field pulse without moving the Néel vector.
  • Editorial inference: The four-fold ($P,L$) state degeneracy offers four distinct magneto-optical settings, which could be used as a multilevel optical memory element.
Share X Bluesky LinkedIn Reddit HN

Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

3 major / 4 minor

Summary. This manuscript combines DFT+U calculations, magnetic space-group (MSG) analysis, and a k.p model to study the H'-Co2CF2 bilayer. It predicts that the paraelectric (PE) AA'-stacked bilayer has spin-degenerate non-relativistic bands because the entire 2D Brillouin zone is invariant under the mirror Mc, whereas the same stacking in a 3D bulk would show altermagnetic spin-splitting along kz != 0 paths. Sliding to the ferroelectric (FE) AB stacking breaks Mc, producing what the authors call a compensated ferrimagnet with non-relativistic Zeeman-like spin-split bands; with spin-orbit coupling, 'alternating' spin-polarized bands, spin-valley locking, and a magneto-optical Kerr effect emerge, with the Kerr angle and valley polarization reversible by switching the ferroelectric polarization P or the Neel vector L.

Significance. The prediction of a dimension-driven altermagnetic crossover and electrically/magnetically switchable MOKE in a 2D sliding multiferroic is interesting and timely for the altermagnetism and sliding-ferroelectricity communities. The paper's strengths are its rigorous use of spin-space groups and MSGs to derive the degeneracies and splittings, the explicit DFT+U band structures for both PE and FE phases, and the k.p model used only to rationalize rather than generate the DFT features. The central symmetry analysis is internally consistent and the main claims are falsifiable. However, two load-bearing points need attention: the Luttinger-theorem justification for full magnetic compensation in the FE phase, and the unvalidated assumption that the hypothetical 3D bulk shares the same stacking and magnetic order as the 2D slab.

major comments (3)
  1. [Compensated ferrimagnetism induced by interlayer sliding (also the paragraph after Figure 1(b) in 'Crystal structure…] The claim that 'as the FE-AFM bilayer maintains its insulating character, the net magnetization remains zero by virtue of the Luttinger theorem' is invalid. Luttinger's theorem relates particle number to the volume enclosed by the Fermi surface in each spin channel; it does not force N_up = N_down in insulators, and insulating ferromagnets such as EuO are direct counterexamples. Since the FE MSG P3m'1 is FM-compatible, symmetry also does not enforce compensation. The paper does not report the integrated total magnetic moment of the optimized (+P,+L) state, so the 'fully compensated ferrimagnet not enforced by symmetry' claim is unsupported. Please report the total moment (in units of mu_B per cell) and, if it is nonzero, revise the abstract and the Zeeman/MOKE narrative accordingly, or justify compensation by an explicit calculation rather than by Luttinger's theorem.
  2. [Dimension-driven AM crossover in PE phase] The 3D calculation is performed for the same AA' stacking and the same antiferromagnetic interlayer order as the 2D slab, without testing alternative bulk stackings or magnetic ground states. The paper labels this a hypothetical structure in the text, but the abstract presents the 'dimension-driven AM crossover' as a property of H'-Co2CF2. If the actual 3D bulk ground state of H'-Co2CF2 adopts a different stacking or magnetic order, the predicted kz != 0 spin-splitting would not be realized in this material. Please determine the bulk ground state by comparing candidate stackings and magnetic configurations, or explicitly restate the crossover claim as conditional on the imposed stacking and magnetic order.
  3. [Tunable alternating spin-textures and MOKE response] The simulated Kerr angle of up to 14 degrees relies on a metamaterial substrate with refractive index ns = 0.78, which appears to be a design parameter rather than a property of the H'-Co2CF2 bilayer itself. Please clarify in the text whether this enhancement is a prediction for a specific experimental realization or an illustrative upper bound, and confirm that the sign-reversal rules are independent of the substrate parameters.
minor comments (4)
  1. [Figure 1 caption] The phrase 'indicating no imaginary frequencies and structural instability' appears to contain a typo; it should read 'no structural instability'.
  2. [Abstract and Results] The term 'ferro-valley polarization' is used without a definition; please define it at first use (the valley splitting Delta_EV between K and K' is later quantified in the text, which helps).
  3. [Compensated ferrimagnetism induced by interlayer sliding] The paper uses both 'compensated ferrimagnet' and 'fully compensated ferrimagnet'; please standardize the terminology and, if the total moment is zero, state that the compensation is numerical rather than symmetry-enforced.
  4. [Introduction] The notation 'T Isymmetry' is awkwardly typeset; please render it as T I (time-reversal followed by inversion) consistently.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: all central claims are computed from first-principles DFT and symmetry analysis, not reduced to inputs.

full rationale

The central results---the PE-phase spin degeneracy, the 3D kz!=0 altermagnetic splitting, the FE-phase non-relativistic spin-split bands, the alternating spin textures, and the Kerr-angle sign reversals---are obtained from explicit DFT band-structure, total-energy, phonon, and MOKE conductivity calculations for H'-Co2CF2, not by fitting target observables. The k.p model is introduced after the DFT calculation to rationalize the Zeeman and Rashba mechanisms and therefore does not generate the reported quantities. The Hubbard U=2.0 eV is carried from prior literature (Refs 45 and 70) and is not tuned to produce the reported splittings or Kerr angle. Self-citations (Refs 10, 30, 37, 44, 60, 64, 65) concern spin-group formalism, MOKE methodology, and sliding ferroelectricity in other systems; they are not used to substitute for the present first-principles results. The 3D bulk phase is presented as an idealized same-stacking model, so the finite-kz splitting is a symmetry consequence of that model rather than a circular prediction. The reader's concern about the Luttinger-theorem argument for zero net moment is a physical-correctness issue (and the paper does not report the integrated total moment), but it is not a circularity: even if that inference is wrong, the compensation claim does not reduce to an input of the calculation. No equation in the paper is equivalent to its own input, and no fitted parameter is renamed as a prediction.

Assumptions & free parameters 3 free parameters · 4 assumptions · 0 invented entities

The principal free parameter is the DFT+U term (U=2.0 eV), carried over from the prior monolayer study; it affects the quantitative values of the spin-splitting and Kerr angle but not the symmetry-based conclusions. The MOKE conversion uses an effective layer thickness and, for the enhancement, a hypothetical metamaterial substrate (ns=0.78), both modeling choices. The symmetry and Landau analysis rest on standard spin-space group theory and the assumption that the 2D slab faithfully represents the isolated bilayer.

free parameters (3)
  • Hubbard U_eff for Co-3d = 2.0 eV
    DFT+U correction for Co d orbitals, taken from the prior monolayer study (ref 45); modifies band gap and spin-splitting magnitudes.
  • Effective layer thickness for 2D MOKE conversion = not stated in main text
    Used to convert the bulk dielectric tensor into a 2D surface Kerr rotation; the value is not given in the main text and appears only via the method in the SI.
  • Metamaterial substrate refractive index ns = 0.78
    Chosen to illustrate the enhanced Kerr angle of 14 degrees; a hypothetical substrate, not experimentally realized.
assumptions (4)
  • domain assumption DFT with PBE+U and DFT-D3 accurately describes the electronic and magnetic ground state of H'-Co2CF2
    Standard computational methodology; the U value is fixed from prior literature, not derived here.
  • standard math Spin-space group and magnetic space group classifications remain valid for the magnetic phases of this material
    The paper uses the SSG framework from refs 4-6 and 30; this is accepted theory for magnets with small SOC.
  • domain assumption A 2D slab with 20 Å vacuum captures the isolated bilayer limit so that only kz=0 quasi-momenta exist
    Needed for the claim that the 2D Brillouin zone is invariant under Mc and hence spin-degenerate; standard practice in 2D DFT.
  • domain assumption The PE phase P6'm'2 is a valid parent reference structure for the Landau analysis
    Used to generate the four symmetry-equivalent FE states; the PE phase is unstable, so it is only a reference.

how reviews work

0 comments
Cite this review

Pith. "Pith review of Unconventional Magnetism, Sliding Ferroelectricity, and Magneto-Optical Kerr Effects in a Multiferroic Bilayer." pith.science (2026). https://pith.science/paper/FRRITHBN

@misc{pith2026250706638,
  author       = {Pith},
  title        = {Pith review of: Unconventional Magnetism, Sliding Ferroelectricity, and Magneto-Optical Kerr Effects in a Multiferroic Bilayer},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/FRRITHBN}},
  note         = {Machine review of arXiv:2507.06638}
}
read the original abstract

Antiferromagnetic (AFM) materials offer a promising platform for exploring novel couplings between altermagnetic (AM) spin-splitting and magneto-optical Kerr effect (MOKE), with potential applications in next-generation quantum technologies. In this work, first-principles calculations, symmetry analysis, and kp modeling are employed to demonstrate how interlayer sliding in AFM multiferroic bilayers enables engineering of the electronic, magnetic, and magneto-optical properties. This study reveals an unprecedented dimension-driven AM crossover, where the 2D paraelectric (PE) bilayer exhibits spin-degenerate bands protected by the [C2||Mc] spin-space symmetry, while the 3D counterpart manifests AM spin-splitting along kz not equal to 0 paths. Furthermore, interlayer sliding breaks the Mc symmetry and stabilizes a ferroelectric (FE) state characterized by compensated ferrimagnetism and a Zeeman effect, which produces non-relativistic spin-split bands. In the FE phase, the inclusion of spin-orbit coupling (SOC) lifts accidental degeneracies, creating `alternating' spin-polarized bands due to the interplay of Zeeman and Rashba effects. Crucially, the spin polarization, ferro-valley polarization, and Kerr angle are simultaneously reversible by switching either interlayer sliding or the Neel vector. These findings highlight the rich coupling between electronic, magnetic, and optical orders in sliding multiferroics, thereby paving the way for ultra-low-power spintronics and optoelectronic devices.

Figures

Figures reproduced from arXiv: 2507.06638 by the authors.

Figure 1
Figure 1. (a) Schematic diagrams of the transition from the PE to FE phase ( [PITH_FULL_IMAGE:figures/full_fig_p007_1.png] view at source ↗
Figure 2
Figure 2. (a) Calculated non-relativistic spin-resolved band structure for the 2D PE phase of [PITH_FULL_IMAGE:figures/full_fig_p010_2.png] view at source ↗
Figure 3
Figure 3. Calculated spin-resolved non-relativistic (upper) and relativistic (lower) band [PITH_FULL_IMAGE:figures/full_fig_p012_3.png] view at source ↗
Figures from the paper (2 more)
Figure 4
Figure 4. Figure 4: Energy pathway (red) and evolution of out-of-plane polarization [PITH_FULL_IMAGE:figures/full_fig_p015_4.png]
Figure 5
Figure 5. Figure 5: (a) Simulated Kerr angle θk as a function of incident photon energy for the PE and FE phases of H′ -Co2CF2 bilayer. In the PE phase, MOKE is inactive with θk = 0 over the entire photon energy range. In contrast, the maximal magnitude of θk occurs in the FE phase when t…

Discussion (0). Sign in to comment.

Reference graph

Works this paper leans on

74 extracted references · 71 canonical work pages

  1. [1]

    Zhu, Y.-P. et al. Observation of Plaid-Like Spin Splitting in a Noncoplanar Antiferromagnet. Nature 2024, 626, 523--528

    work page 2024

  2. [2]

    Crystal Time-Reversal Symmetry Breaking and Spontaneous Hall Effect in Collinear Antiferromagnets

    S mejkal, L.; Gonzalez-Hernandez, R.; Jungwirth, T.; Sinova, J. Crystal Time-Reversal Symmetry Breaking and Spontaneous Hall Effect in Collinear Antiferromagnets. Sci. Adv. 2020, 6, eaaz8809

    work page 2020

  3. [3]

    Altermagnetism: Exploring New Frontiers in Magnetism and Spintronics

    Bai, L.; Feng, W.; Liu, S.; S mejkal, L.; Mokrousov, Y.; Yao, Y. Altermagnetism: Exploring New Frontiers in Magnetism and Spintronics. Adv. Funct. Mater. 2024, 34, 2409327

    work page 2024

  4. [4]

    Emerging Research Landscape of Altermagnetism

    S mejkal, L.; Sinova, J.; Jungwirth, T. Emerging Research Landscape of Altermagnetism. Phys. Rev. X 2022, 12, 040501

    work page 2022

  5. [5]

    Beyond Conventional Ferromagnetism and Antiferromagnetism: A Phase with Nonrelativistic Spin and Crystal Rotation Symmetry

    S mejkal, L.; Sinova, J.; Jungwirth, T. Beyond Conventional Ferromagnetism and Antiferromagnetism: A Phase with Nonrelativistic Spin and Crystal Rotation Symmetry. Phys. Rev. X 2022, 12, 031042

    work page 2022

  6. [6]

    Spin-Group Symmetry in Magnetic Materials with Negligible Spin-Orbit Coupling

    Liu, P.; Li, J.; Han, J.; Wan, X.; Liu, Q. Spin-Group Symmetry in Magnetic Materials with Negligible Spin-Orbit Coupling. Phys. Rev. X 2022, 12, 021016

    work page 2022

  7. [7]

    Prediction of Low-Z Collinear and Noncollinear Antiferromagnetic Compounds Having Momentum-Dependent Spin Splitting even Without Spin-Orbit Coupling

    Yuan, L.-D.; Wang, Z.; Luo, J.-W.; Zunger, A. Prediction of Low-Z Collinear and Noncollinear Antiferromagnetic Compounds Having Momentum-Dependent Spin Splitting even Without Spin-Orbit Coupling. Phys. Rev. Mater. 2021, 5, 014409

    work page 2021

  8. [8]

    Unconventional Magnons in Collinear Magnets Dictated by Spin Space Groups

    Chen, X.; Liu, Y.; Liu, P.; Yu, Y.; Ren, J.; Li, J.; Zhang, A.; Liu, Q. Unconventional Magnons in Collinear Magnets Dictated by Spin Space Groups. Nature 2025, 640, 349--354

    work page 2025

Show all 74 references
  1. [9]

    Multipiezo Effect in Altermagnetic V _ 2 SeTeO Monolayer

    Zhu, Y.; Chen, T.; Li, Y.; Qiao, L.; Ma, X.; Liu, C.; Hu, T.; Gao, H.; Ren, W. Multipiezo Effect in Altermagnetic V _ 2 SeTeO Monolayer. Nano Lett. 2023, 24, 472--478

    2023

  2. [10]

    Radaelli, P. G. Tensorial Approach to Altermagnetism. Phys. Rev. B 2024, 110, 214428

    2024

  3. [11]

    Fedchenko, O. et al. Observation of Time-Reversal Symmetry Breaking in the Band Structure of Altermagnetic RuO _ 2 . Sci. Adv. 2024, 10, eadj4883

    2024

  4. [12]

    Crystal Thermal Transport in Altermagnetic RuO _ 2

    Zhou, X.; Feng, W.; Zhang, R.-W.; S mejkal, L.; Sinova, J.; Mokrousov, Y.; Yao, Y. Crystal Thermal Transport in Altermagnetic RuO _ 2 . Phys. Rev. Lett. 2024, 132, 056701

    2024

  5. [13]

    Liu, J. et al. Absence of Altermagnetic Spin Splitting Character in Rutile Oxide RuO _ 2 . Phys. Rev. Lett. 2024, 133, 176401

    2024

  6. [14]

    Reimers, S. et al. Direct Observation of Altermagnetic Band Splitting in CrSb Thin Films. Nat. Commun. 2024, 15, 2116

    2024

  7. [15]

    Yang, G. et al. Three-dimensional mapping of the altermagnetic spin splitting in CrSb. Nat. Commun. 2025, 16, 1442

    2025

  8. [16]

    Leiviskae, M. et al. Anisotropy of the Anomalous Hall Effect in Thin Films of the Altermagnet Candidate Mn _ 5 Si _ 3 . Phys. Rev. B 2024, 109, 224430

    2024

  9. [17]

    Reichlova, H. et al. Observation of a Spontaneous Anomalous Hall Response in the Mn _ 5 Si _ 3 d-wave Altermagnet Candidate. Nat. Commun. 2024, 15, 4961

    2024

  10. [18]

    Ferroelectric Switchable Altermagnetism

    Gu, M.; Liu, Y.; Zhu, H.; Yananose, K.; Chen, X.; Hu, Y.; Alessandro, S.; Liu, Q. Ferroelectric Switchable Altermagnetism. Phys. Rev. Lett. 2025, 134, 106802

    2025

  11. [19]

    Krempasky, J. et al. Altermagnetic Lifting of Kramers Spin Degeneracy. Nature 2024, 626, 517--522

    2024

  12. [20]

    Betancourt, R. D. G.; Zubac, J.; Gonzalez-Hernandez, R.; Geishendorf, K.; Soban, Z.; Springholz, G.; Olejnik, K.; S mejkal, L.; Sinova, J.; Jungwirth, T.; Goennenwein, S. T. B.; Thomas, A.; Reichlova, H.; Zelezny, J.; Kriegner, D. Spontaneous Anomalous Hall Effect Arising from...

    2023

  13. [21]

    Altermagnetism with Non-Collinear Spins

    Cheong, S.-W.; Huang, F.-T. Altermagnetism with Non-Collinear Spins. NPJ Quantum Mater. 2024, 9, 13

    2024

  14. [22]

    B.; Gonzalez-Hernandez, R.; Sinova, J.; Jungwirth, T

    S mejkal, L.; Hellenes, A. B.; Gonzalez-Hernandez, R.; Sinova, J.; Jungwirth, T. Giant and Tunneling Magnetoresistance in Unconventional Collinear Antiferromagnets with Nonrelativistic-Momentum. Phys. Rev. X 2022, 12, 011028

    2022

  15. [23]

    Y.; Zhou, Y

    Bai, H.; Han, L.; Feng, X. Y.; Zhou, Y. J.; Su, R. X.; Wang, Q.; Liao, L. Y.; Zhu, W. X.; Chen, X. Z.; Pan, F.; Fan, X. L.; Song, C. Observation of Spin Splitting Torque in a Collinear Antiferromagnet RuO _ 2 . Phys. Rev. Lett. 2022, 128, 197202

    2022

  16. [24]

    Valley-Related Multipiezo Effect and Noncollinear Spin Current in an Altermagnet Fe _ 2 Se _ 2 O Monolayer

    Wu, Y.; Deng, L.; Yin, X.; Tong, J.; Tian, F.; Zhang, X. Valley-Related Multipiezo Effect and Noncollinear Spin Current in an Altermagnet Fe _ 2 Se _ 2 O Monolayer. Nano Lett. 2024, 24, 10534--10539

    2024

  17. [25]

    Feng, Z. et al. An Anomalous Hall Effect in Altermagnetic Ruthenium Dioxide. Nat. Electron. 2022, 5, 735--743

    2022

  18. [26]

    Predictable Gate-Field Control of Spin in Altermagnets with Spin-Layer Coupling

    Zhang, R.-W.; Cui, C.; Li, R.; Duan, J.; Li, L.; Yu, Z.-M.; Yao, Y. Predictable Gate-Field Control of Spin in Altermagnets with Spin-Layer Coupling. Phys. Rev. Lett. 2024, 133, 056401

    2024

  19. [27]

    W.; S ipr, O.; Sinova, J.; Jungwirth, T

    S mejkal, L.; Marmodoro, A.; Ahn, K.-H.; Gonz\' a lez-Hern\' a ndez, R.; Turek, I.; Mankovsky, S.; Ebert, H.; D ^ ' Souza, S. W.; S ipr, O.; Sinova, J.; Jungwirth, T. Chiral Magnons in Altermagnetic RuO _ 2 . Phys. Rev. Lett. 2023, 131, 256703

    2023

  20. [28]

    Chiral Split Magnon in Altermagnetic MnTe

    Liu, Z.; Ozeki, M.; Asai, S.; Itoh, S.; Masuda, T. Chiral Split Magnon in Altermagnetic MnTe. Phys. Rev. Lett. 2024, 133, 156702

    2024

  21. [29]

    General Stacking Theory for Altermagnetism in Bilayer Systems

    Pan, B.; Zhou, P.; Lyu, P.; Xiao, H.; Yang, X.; Sun, L. General Stacking Theory for Altermagnetism in Bilayer Systems. Phys. Rev. Lett. 2024, 133, 166701

    2024

  22. [30]

    Enumeration and Representation Theory of Spin Space Groups

    Chen, X.; Ren, J.; Zhu, Y.; Yu, Y.; Zhang, A.; Liu, P.; Li, J.; Liu, Y.; Li, C.; Liu, Q. Enumeration and Representation Theory of Spin Space Groups. Phys. Rev. X 2024, 14, 031038

    2024

  23. [31]

    Electric-Magneto-Optical Kerr Effect in a Hybrid Organic-Inorganic Perovskite

    Fan, F.-R.; Wu, H.; Nabok, D.; Hu, S.; Ren, W.; Draxl, C.; Stroppa, A. Electric-Magneto-Optical Kerr Effect in a Hybrid Organic-Inorganic Perovskite. J. Am. Chem. Soc. 2017, 139, 12883--12886

    2017

  24. [32]

    T.; Mankey, G

    Huang, F.; Kief, M. T.; Mankey, G. J.; Willis, R. F. Magnetism in the Few-Monolayers Limit: A Surface Magneto-Optic Kerr-Effect Study of the Magnetic Behavior of Ultrathin Films of Co, Ni, and Co-Ni Alloys on Cu(100) and Cu(111). Phys. Rev. B 1994, 49, 3962--3971

    1994

  25. [33]

    Large Magneto-Optical Kerr Effect in Noncollinear Antiferromagnets Mn _ 3 X (X = Rh, Ir, Pt)

    Feng, W.; Guo, G.-Y.; Zhou, J.; Yao, Y.; Niu, Q. Large Magneto-Optical Kerr Effect in Noncollinear Antiferromagnets Mn _ 3 X (X = Rh, Ir, Pt). Phys. Rev. B 2015, 92, 144426

    2015

  26. [34]

    Magneto-Optical Kerr Effect in a Non-Collinear Antiferromagnet Mn _ 3 Ge

    Wu, M.; Isshiki, H.; Chen, T.; Higo, T.; Nakatsuji, S.; Otani, Y. Magneto-Optical Kerr Effect in a Non-Collinear Antiferromagnet Mn _ 3 Ge. Appl. Phys. Lett. 2020, 116, 132408

    2020

  27. [35]

    Crystal Chirality Magneto-Optical Effects in Collinear Antiferromagnets

    Zhou, X.; Feng, W.; Yang, X.; Guo, G.-Y.; Yao, Y. Crystal Chirality Magneto-Optical Effects in Collinear Antiferromagnets. Phys. Rev. B 2021, 104, 024401

    2021

  28. [36]

    G.; S mejkal, L.; Kang, C

    Lee, S.; Lee, S.; Jung, S.; Jung, J.; Kim, D.; Lee, Y.; Seok, B.; Kim, J.; Park, B. G.; S mejkal, L.; Kang, C. J.; Kim, C. Broken Kramers Degeneracy in Altermagnetic MnTe. Phys. Rev. Lett. 2024, 132, 036702

    2024

  29. [37]

    G.; Cuoco, M.; Yu, J.; Stroppa, A

    Yananose, K.; Radaelli, P. G.; Cuoco, M.; Yu, J.; Stroppa, A. Activating Magnetoelectric Optical Properties by Twisting Antiferromagnetic Bilayers. Phys. Rev. B 2022, 106, 184408

    2022

  30. [38]

    Electric Field-Controlled Magneto-Optical Kerr Effect in A-Type Antiferromagnetic Fe _ 2 C X_ 2 ( X = F, Cl) and Its Janus Monolayer

    Wang, P.; Liu, Q.; Liu, N.; Kuang, M.; Yang, T.; Wang, B.; Ju, M.; Yuan, H.; Jiang, X.; Zhao, J. Electric Field-Controlled Magneto-Optical Kerr Effect in A-Type Antiferromagnetic Fe _ 2 C X_ 2 ( X = F, Cl) and Its Janus Monolayer. ACS Appl. Mater. Inter. 2023, 15, 52767--52775

    2023

  31. [39]

    Twisted Magnetic Van der Waals Bilayers: An Ideal Platform for Altermagnetism

    Liu, Y.; Yu, J.; Liu, C.-c. Twisted Magnetic Van der Waals Bilayers: An Ideal Platform for Altermagnetism. Phys. Rev. Lett. 2024, 133, 206702

    2024

  32. [40]

    Proposing Altermagnetic-Ferroelectric Type-III Multiferroics with Robust Magnetoelectric Coupling

    Sun, W.; Yang, C.; Wang, W.; Liu, Y.; Wang, X.; Huang, S.; Cheng, Z. Proposing Altermagnetic-Ferroelectric Type-III Multiferroics with Robust Magnetoelectric Coupling. Adv. Mater. 2025, 2502575

    2025

  33. [41]

    Induced Monolayer Altermagnetism in MnP(S,Se) _3 and FeSe 2024, arXiv:2309.02355, arXiv

    Igor, M.; Rafael, G.-H.; S mejkal, L. Induced Monolayer Altermagnetism in MnP(S,Se) _3 and FeSe 2024, arXiv:2309.02355, arXiv. https://arxiv.org/abs/2309.02355

    2024 arXiv

  34. [42]

    Ji, J.; Yu, G.; Xu, C.; Xiang, H. J. General Theory for Bilayer Stacking Ferroelectricity. Phys. Rev. Lett. 2023, 130, 146801

    2023

  35. [43]

    Binary Compound Bilayer and Multilayer with Vertical Polarizations: Two-Dimensional Ferroelectrics, Multiferroics, and Nanogenerators

    Li, L.; Wu, M. Binary Compound Bilayer and Multilayer with Vertical Polarizations: Two-Dimensional Ferroelectrics, Multiferroics, and Nanogenerators. ACS Nano 2017, 11, 6382--6388

    2017

  36. [44]

    Chen, X.; Ding, X.; Gou, G.; Zeng, X. C. Strong Sliding Ferroelectricity and Interlayer Sliding Controllable Spintronic Effect in Two-Dimensional HgI _ 2 Layers. Nano Lett. 2024, 24, 3089--3096

    2024

  37. [45]

    Toward Room-Temperature Electrical Control of Magnetic Order in Multiferroic van der Waals Materials

    Huang, C.; Zhou, J.; Sun, H.; Wu, F.; Hou, Y.; Kan, E. Toward Room-Temperature Electrical Control of Magnetic Order in Multiferroic van der Waals Materials. Nano Lett. 2022, 22, 5191--5197

    2022

  38. [46]

    K.; Lauhon, L

    Jariwala, D.; Sangwan, V. K.; Lauhon, L. J.; Marks, T. J.; Hersam, M. C. Emerging Device Applications for Semiconducting Two-Dimensional Transition Metal Dichalcogenides. ACS Nano 2014, 8, 1102--1120

    2014

  39. [47]

    Ab Initio Study of BaTiO _ 3 and PbTiO _ 3 Surfaces in External Electric Fields

    Meyer, B.; Vanderbilt, D. Ab Initio Study of BaTiO _ 3 and PbTiO _ 3 Surfaces in External Electric Fields. Phys. Rev. B 2001, 63, 205426

    2001

  40. [48]

    M.; Ward, J

    Luttinger, J. M.; Ward, J. C. Ground-State Energy of a Many-Fermion System. II. Phys. Rev. 1960, 118, 1417--1427

    1960

  41. [49]

    Luttinger, J. M. Fermi Surface and Some Simple Equilibrium Properties of a System of Interacting Fermions. Phys. Rev. 1960, 119, 1153--1163

    1960

  42. [50]

    Altermagnetism-A New Punch Line of Fundamental Magnetism

    Mazin, I. Altermagnetism-A New Punch Line of Fundamental Magnetism. Phys. Rev. X 2022, 12, 040002

    2022

  43. [51]

    B.; Rondinelli, J

    Yuan, L.-D.; Georgescu, A. B.; Rondinelli, J. M. Nonrelativistic Spin Splitting at the Brillouin Zone Center in Compensated Magnets. Phys. Rev. Lett. 2024, 133, 216701

    2024

  44. [52]

    S.; Watanabe, K.; Taniguchi, T.; Kaxiras, E.; Jarillo-Herrero, P.; Ashoori, R

    Yasuda, K.; Zalys-Geller, E.; Wang, X.; Bennett, D.; Cheema, S. S.; Watanabe, K.; Taniguchi, T.; Kaxiras, E.; Jarillo-Herrero, P.; Ashoori, R. Ultrafast High-endurance Memory based on Sliding Ferroelectrics. Science 2024, 385, 53--56

    2024

  45. [53]

    Developing Fatigue-resistant Ferroelectrics using Interlayer Sliding Switching

    Bian, R.; He, R.; Pan, E.; Li, Z.; Cao, G.; Meng, P.; Chen, J.; Liu, Q.; Zhong, Z.; Li, W.; Liu, F. Developing Fatigue-resistant Ferroelectrics using Interlayer Sliding Switching. Science 2024, 385, 57--62

    2024

  46. [54]

    Switching Two-Dimensional Sliding Ferroelectrics by Mechanical Bending

    He, R.; Wang, H.; Deng, F.; Gao, Y.; Zhang, B.; Shi, Y.; Li, R.-W.; Zhong, Z. Switching Two-Dimensional Sliding Ferroelectrics by Mechanical Bending. Phys. Rev. Lett. 2025, 134, 076101

    2025

  47. [55]

    Ultrafast Switching of Sliding Polarization and Dynamical Magnetic Field in van der Waals Bilayers Induced by Light

    Wang, J.; Li, X.; Ma, X.; Chen, L.; Liu, J.-M.; Duan, C.-G.; Iniguez-Gonzalez, J.; Wu, D.; Yang, Y. Ultrafast Switching of Sliding Polarization and Dynamical Magnetic Field in van der Waals Bilayers Induced by Light. Phys. Rev. Lett. 2024, 133, 126801

    2024

  48. [56]

    Wadley, P. et al. Electrical Switching of an Antiferromagnet. Science 2016, 351, 587--590

    2016

  49. [57]

    M.; Yuan, L.; Dalpian, G

    Acosta, C. M.; Yuan, L.; Dalpian, G. M.; Zunger, A. Different Shapes of Spin Textures as a Journey Through the Brillouin Zone. Phys. Rev. B 2021, 104, 104408

    2021

  50. [58]

    Two-Dimensional Fully Compensated Ferrimagnetism

    Liu, Y.; Guo, S.-D.; Li, Y.; Liu, C.-C. Two-Dimensional Fully Compensated Ferrimagnetism. Phys. Rev. Lett. 2025, 134, 116703

    2025

  51. [59]

    Layer Hall Effect in Multiferroic Two-Dimensional Materials

    Feng, Y.; Dai, Y.; Huang, B.; Kou, L.; Ma, Y. Layer Hall Effect in Multiferroic Two-Dimensional Materials. Nano Lett. 2023, 23, 5367--5372

    2023

  52. [60]

    Magneto-Optical Kerr Effect in Ferroelectric Antiferromagnetic Two-Dimensional Heterostructures

    Ding, N.; Yananose, K.; Rizza, C.; Fan, F.-R.; Dong, S.; Stroppa, A. Magneto-Optical Kerr Effect in Ferroelectric Antiferromagnetic Two-Dimensional Heterostructures. ACS Appl. Mater. Inter. 2023, 15, 22282--22290

    2023

  53. [61]

    M.; Maurer, T.; Sticht, J.; K\" u bler, J

    Oppeneer, P. M.; Maurer, T.; Sticht, J.; K\" u bler, J. Ab Initio Calculated Magneto-Optical Kerr Effect of Ferromagnetic Metals: Fe and Ni. Phys. Rev. B 1992, 45, 10924--10933

    1992

  54. [62]

    Kinsey, N.; DeVault, C.; Boltasseva, A.; Shalaev, V. M. Near-Zero-Index Materials for Photonics. Nat. Rev. Mater. 2019, 4, 742--760

    2019

  55. [63]

    Layer Control of Magneto-Optical Effects and Their Quantization in Spin-Valley Splitting Antiferromagnets

    Feng, J.; Zhou, X.; Xu, M.; Shi, J.; Li, Y. Layer Control of Magneto-Optical Effects and Their Quantization in Spin-Valley Splitting Antiferromagnets. Nano Lett. 2024, 24, 3898--3905

    2024

  56. [64]

    Wang, N.; Chen, J.; Ding, N.; Zhang, H.; Dong, S.; Wang, S. S. Magneto-Optical Kerr Effect and Magnetoelasticity in a Weakly Ferromagnetic RuF _ 4 Monolayer. Phys. Rev. B 2022, 106, 064435

    2022

  57. [65]

    Stacking-Dependent Ferroicity of a Reversed Bilayer: Altermagnetism or Ferroelectricity

    Sun, W.; Ye, H.; Liang, L.; Ding, N.; Dong, S.; Wang, S.-S. Stacking-Dependent Ferroicity of a Reversed Bilayer: Altermagnetism or Ferroelectricity. Phys. Rev. B 2024, 110, 224418

    2024

  58. [66]

    Efficient Iterative Schemes for Ab Initio Total-Energy Calculations Using a Plane-Wave Basis Set

    Kresse, G.; Furthmuller, J. Efficient Iterative Schemes for Ab Initio Total-Energy Calculations Using a Plane-Wave Basis Set. Phys. Rev. B 1996, 54, 11169--11186

    1996

  59. [67]

    Efficiency of Ab-Initio Total Energy Calculations for Metals and Semiconductors Using a Plane-Wave Basis Set

    Kresse, G.; Furthmuller, J. Efficiency of Ab-Initio Total Energy Calculations for Metals and Semiconductors Using a Plane-Wave Basis Set. Comp. Mater. Sci. 1996, 6, 15--50

    1996

  60. [68]

    P.; Burke, K.; Ernzerhof, M

    Perdew, J. P.; Burke, K.; Ernzerhof, M. Generalized Gradient Approximation Made Simple. Phys. Rev. Lett. 1996, 77, 3865--3868

    1996

  61. [69]

    Bl\" o chl, P. E. Projector Augmented-Wave Method. Phys. Rev. B 1994, 50, 17953--17979

    1994

  62. [70]

    L.; Botton, G

    Dudarev, S. L.; Botton, G. A.; Savrasov, S. Y.; Humphreys, C. J.; Sutton, A. P. Electron-Energy-Loss Spectra and the Structural Stability of Nickel Oxide: An LSDA+U Study. Phys. Rev. B 1998, 57, 1505--1509

    1998

  63. [71]

    A Consistent and Accurate Ab Initio Parametrization of Density Functional Dispersion Correction (DFT-D) for the 94 Elements H-Pu

    Grimme, S.; Antony, J.; Ehrlich, S.; Krieg, H. A Consistent and Accurate Ab Initio Parametrization of Density Functional Dispersion Correction (DFT-D) for the 94 Elements H-Pu. J. Chem. Phys. 2010, 132, 154104

    2010

  64. [72]

    J.; Pack, J

    Monkhorst, H. J.; Pack, J. D. Special Points for Brillouin-Zone Integrations. Phys. Rev. B 1976, 13, 5188--5192

    1976

  65. [73]

    Dipole Correction for Surface Supercell Calculations

    Bengtsson, L. Dipole Correction for Surface Supercell Calculations. Phys. Rev. B 1999, 59, 12301--12304

    1999

  66. [74]

    First Principles Phonon Calculations in Materials Science

    Togo, A.; Tanaka, I. First Principles Phonon Calculations in Materials Science. Scr. Mater. 2015, 108, 1--5 mcitethebibliography figure [h] Table of Contents\\ [width=8cm,height=3cm] FIG/TOC.png * TOC figure document

    2015

Pith tools

Reviewed August 6, 2026 · model on record in the stance chip above.