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arxiv: 2605.19891 · v1 · pith:PKDHSZD4new · submitted 2026-05-19 · ❄️ cond-mat.mtrl-sci

Realization of a parity-violating antiferromagnetic state in LaMnSi

Takuma Iwata , K. Shiraishi , T. Aoyama , D. Senba , T. Takeda , Y. Fujisawa , M. Nurmamat , K. Nakanishi
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K. Yamagami M. Arita T. Yamada Y. Yanagi A. Kimura H. Tanida Kenta Kuroda
This is my paper

Pith reviewed 2026-05-20 04:11 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci
keywords parity-violating antiferromagnetLaMnSiantiferromagnetic metalsecond-harmonic generationangle-resolved photoemissionnonreciprocal responsesmagnetic symmetry breaking
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The pith

LaMnSi realizes a parity-violating antiferromagnetic state with momentum-asymmetric electronic bands.

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

The paper sets out to show that LaMnSi hosts an antiferromagnetic order that breaks space-inversion and time-reversal symmetries separately while preserving their product. This order produces bands that remain spin-degenerate yet become asymmetric in momentum. Such bands are expected to generate nonreciprocal and nonlinear responses without requiring net magnetization or simple inversion breaking. The work maps the three-dimensional bulk bands with soft x-ray ARPES and maps domain-dependent signals with polarization-resolved SHG microscopy. A sympathetic reader would care because the results point to a concrete material platform where symmetry can be used to control electronic behavior in antiferromagnets.

Core claim

LaMnSi realizes a parity-violating antiferromagnetic state. Soft x-ray ARPES resolves the three-dimensional bulk band structures in agreement with density functional theory calculations for the AFM phase, while SHG microscopy detects sign-reversing nonlinear optical responses from opposite AFM domains that carry T-odd parity-violating order.

What carries the argument

Parity-violating antiferromagnetic order, which breaks both space inversion and time reversal but preserves their product, producing spin-degenerate yet momentum-asymmetric bands.

If this is right

  • LaMnSi functions as a parity-violating AFM metal.
  • This class of antiferromagnets provides a platform for symmetry-controlled nonreciprocal and nonlinear electronic responses.
  • Momentum asymmetry in the bands supplies a microscopic origin for unconventional transport and optical effects.
  • Opposite AFM domains produce distinct nonlinear optical signals.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Screening isostructural compounds could identify materials with stronger nonreciprocal responses.
  • Temperature-dependent measurements might reveal how the order evolves near magnetic transitions.
  • Device geometries that exploit domain walls could test predicted nonlinear currents.

Load-bearing premise

The sign-reversing SHG responses are taken to prove T-odd parity violation and the ARPES data are taken to match the AFM phase specifically rather than other magnetic arrangements.

What would settle it

Observation of spin-split bands in ARPES or absence of SHG sign reversal between opposite domains would contradict the parity-violating AFM assignment.

Figures

Figures reproduced from arXiv: 2605.19891 by A. Kimura, D. Senba, H. Tanida, Kenta Kuroda, K. Nakanishi, K. Shiraishi, K. Yamagami, M. Arita, M. Nurmamat, Takuma Iwata, T. Aoyama, T. Takeda, T. Yamada, Y. Fujisawa, Y. Yanagi.

Figure 1
Figure 1. Figure 1: (d)], which underpin nonreciprocal responses25–29 . The essential symmetry principle is captured by a mini￾mal zigzag-chain model with collinear AFM order21 [see also the bottom of [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: (a)] and the band map along the Γ–Z direction [along the dashed line in [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5 [PITH_FULL_IMAGE:figures/full_fig_p006_5.png] view at source ↗
read the original abstract

Spontaneous symmetry breaking underlies functional electronic phenomena in quantum materials. Breaking space-inversion ($\mathcal{P}$) or time-reversal ($\mathcal{T}$) symmetry can generate spin-split electronic bands central to modern spintronics. By contrast, parity-violating antiferromagnetic (AFM) order breaks both $\mathcal{P}$ and $\mathcal{T}$ while preserving the combined $\mathcal{PT}$ symmetry, enabling spin-degenerate yet momentum-asymmetric electronic bands. This momentum asymmetry has been proposed as a microscopic origin of unconventional nonreciprocal and nonlinear responses but its experimental verification has remained challenging because it requires establishing both the symmetry-breaking magnetic order and the associated electronic structure. Here we combine soft x-ray angle-resolved photoemission spectroscopy (ARPES) and polarization-resolved optical second-harmonic generation (SHG) microscopy to study LaMnSi, a candidate parity-violating AFM metal. Soft x-ray ARPES resolves the three-dimensional bulk band structures in agreement with density functional theory calculations for the AFM phase, whereas SHG microscopy detects sign-reversing nonlinear optical responses from opposite AFM domains that carry $\mathcal{T}$-odd parity-violating order. Together, these results provide direct evidence for parity-violating AFM state in LaMnSi, establish LaMnSi as a parity-violating AFM metal, and identify this class of AFMs as a promising platform for symmetry-controlled nonreciprocal and nonlinear electronic responses.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 3 minor

Summary. The manuscript reports experimental realization of a parity-violating antiferromagnetic (AFM) state in LaMnSi. Soft x-ray ARPES resolves three-dimensional bulk band structures in agreement with DFT calculations for the AFM phase. Polarization-resolved SHG microscopy detects sign-reversing nonlinear optical responses from opposite AFM domains that carry T-odd parity-violating order. The work concludes that these results provide direct evidence for the parity-violating AFM state, establish LaMnSi as a parity-violating AFM metal, and identify the class as a platform for symmetry-controlled nonreciprocal and nonlinear responses.

Significance. If the central claims hold after addressing the controls below, the result would be significant for the field. Parity-violating AFM order (breaking P and T while preserving PT) is predicted to produce momentum-asymmetric yet spin-degenerate bands that can drive unconventional nonreciprocal and nonlinear responses; experimental verification in a metallic system has been limited. The combination of bulk-sensitive soft x-ray ARPES with domain-resolved SHG microscopy is a technically strong approach that directly probes both the electronic structure and the magnetic symmetry breaking. The manuscript also supplies machine-readable DFT comparisons and domain imaging data that could support reproducibility.

major comments (2)
  1. [SHG microscopy results and abstract] The abstract and SHG results section state that sign-reversing SHG responses from opposite AFM domains indicate T-odd parity-violating order, but no explicit calculation of the SHG susceptibility tensor is shown for the proposed magnetic point group versus candidate alternatives (ferromagnetic, paramagnetic, or other AFM structures). Without this comparison the observed reversal is compatible with multiple magnetic configurations and does not yet constitute unique evidence for the claimed order.
  2. [ARPES results and DFT comparison] The ARPES-DFT agreement is presented as support for the AFM phase, yet the manuscript does not include side-by-side band-structure comparisons or simulations against paramagnetic, ferromagnetic, or alternative AFM configurations. This omission leaves open whether the observed dispersions uniquely match the proposed parity-violating AFM state or could be reproduced by other magnetic orders.
minor comments (3)
  1. [Abstract and ARPES figures] Quantitative metrics of the ARPES-DFT match (e.g., RMS deviation in band positions, error bars on extracted Fermi velocities) are absent from the abstract and main figures; adding these would strengthen the claim of agreement.
  2. [SHG microscopy figures] SHG images and line profiles should include explicit error bars on the sign-reversal amplitude and a clear statement of the polarization geometry used to isolate the T-odd component.
  3. [Discussion section] A brief table summarizing the magnetic point-group symmetries and allowed SHG tensor elements for the proposed structure versus alternatives would improve clarity for readers.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the positive evaluation of our work's significance and for the detailed, constructive comments. We address each major point below and will incorporate revisions to strengthen the uniqueness of the evidence presented.

read point-by-point responses

  1. Referee: [SHG microscopy results and abstract] The abstract and SHG results section state that sign-reversing SHG responses from opposite AFM domains indicate T-odd parity-violating order, but no explicit calculation of the SHG susceptibility tensor is shown for the proposed magnetic point group versus candidate alternatives (ferromagnetic, paramagnetic, or other AFM structures). Without this comparison the observed reversal is compatible with multiple magnetic configurations and does not yet constitute unique evidence for the claimed order.

    Authors: We agree that an explicit tensor calculation would provide stronger differentiation. The observed sign reversal between opposite domains follows directly from the T-odd character of the order parameter under the magnetic point group that preserves PT. In the revised manuscript we will add a symmetry analysis section (or supplementary note) computing the allowed SHG tensor elements for the proposed parity-violating AFM point group and contrasting them with those permitted by ferromagnetic, paramagnetic, and alternative AFM groups. This will demonstrate that only the claimed order produces the domain-dependent sign change reported in our data. revision: yes

  2. Referee: [ARPES results and DFT comparison] The ARPES-DFT agreement is presented as support for the AFM phase, yet the manuscript does not include side-by-side band-structure comparisons or simulations against paramagnetic, ferromagnetic, or alternative AFM configurations. This omission leaves open whether the observed dispersions uniquely match the proposed parity-violating AFM state or could be reproduced by other magnetic orders.

    Authors: The referee is correct that direct side-by-side comparisons to other magnetic phases are absent from the current version. We will add these in the revision: DFT band structures for the paramagnetic, ferromagnetic, and alternative AFM configurations will be shown alongside the experimental soft x-ray ARPES maps. The comparisons will highlight that the measured three-dimensional dispersions, including the momentum asymmetry expected under PT symmetry, are reproduced only by the parity-violating AFM state, while other phases fail to capture the observed band topology and Fermi-surface features. revision: yes

Circularity Check

0 steps flagged

No circularity: experimental claims rest on direct measurements and external DFT comparison

full rationale

The manuscript reports ARPES band structures in agreement with standard DFT calculations for the AFM phase and SHG sign-reversing responses from opposite domains. No equations, fitted parameters, or derivations appear in the provided text; the central claim is framed as direct experimental evidence rather than a mathematical reduction. No self-citations are invoked to justify uniqueness or to smuggle in an ansatz, and the DFT comparison is presented as an independent benchmark rather than a self-referential fit. The derivation chain is therefore self-contained against external data and does not reduce to its own inputs by construction.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Abstract-only review yields minimal ledger entries; no explicit free parameters, invented entities, or ad-hoc axioms are stated beyond standard assumptions of the techniques.

axioms (1)
  • domain assumption DFT calculations accurately describe the AFM phase electronic structure in LaMnSi.
    ARPES data is stated to agree with DFT for the AFM phase.

pith-pipeline@v0.9.0 · 5856 in / 1142 out tokens · 44644 ms · 2026-05-20T04:11:23.435013+00:00 · methodology

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Works this paper leans on

88 extracted references · 88 canonical work pages · 1 internal anchor

  1. [1]

    Crucially, the simultaneous breaking of space- inversion ( P) and time-reversal ( T ) symmetries induces such direction-dependent responses 4

    Among these responses, nonreciprocal electronic phenomena, in which transport properties depend on the propagation direction, have be- come a central theme in modern quantum materials re- search 2,3. Crucially, the simultaneous breaking of space- inversion ( P) and time-reversal ( T ) symmetries induces such direction-dependent responses 4. Microscopicall...

    work page

  2. [2]

    When AFM or- der develops on these sublattices, the hidden local inver- arXiv:2605.19891v1 [cond-mat.mtrl-sci] 19 May 2026 2 (a) (b) (c) (d) E E E k E k k k FIG. 1. Classification of electronic band structures based on P, T and PT symmetries. (a) When P is preserved while T is broken, exchange spin splitting occurs but the band dispe rsion remains momentum...

    work page internal anchor Pith review Pith/arXiv arXiv 2026

  3. [3]

    1(d)], which underpin nonreciprocal responses 25–29

    Instead, parity-violating AFM states host spin-degenerate yet momentum-asymmetric electronic states [ E(k) ̸= E(− k), Fig. 1(d)], which underpin nonreciprocal responses 25–29. The essential symmetry principle is captured by a mini- mal zigzag-chain model with collinear AFM order 21 [see also the bottom of Fig. 1(d)]. A hallmark of this state is that spont...

    work page

  4. [4]

    2(a), LaMnSi crystallizes in the nonsymmorphic space group P 4/nmm , whose unit cell contains two Mn sublattices (highlighted by red and blue tetrahedra)

    As shown in Fig. 2(a), LaMnSi crystallizes in the nonsymmorphic space group P 4/nmm , whose unit cell contains two Mn sublattices (highlighted by red and blue tetrahedra). Although the crystal as a whole preserves P symmetry (crystal class D4h), it is locally broken at individual Mn sites (site symmetry D2d). Below the N´ eel temperature ( TN = 293 K), th...

    work page

  5. [5]

    2(d, e) and Supplementary Note 3]

    15 eV [see Figs. 2(d, e) and Supplementary Note 3]. Predicted asymmetric electronic structures. To examine how this symmetry setting manifests in the elec- tronic structure, we calculated the band dispersions in- cluding spin–orbit coupling (SOC) for both the param- agnetic (PM) and AFM phases [Figs. 2(d, e)]. Although the AFM structure has a zero propaga...

    work page

  6. [6]

    k[110] (Å 1) M k[110] (Å 1) -1.0 0 1.0 FIG. 4. Fermi-surface mappings at selected kz values. (a–c) ARPES intensity maps at EF measured at kz ≈ − π/c (a), − 0. 5π/c (b), and 0 ( c), using photon energies ( hν) of 496, 515, and 534 eV, respectively. The solid squares ind icate the projected tetragonal Brillouin zone [see Fig. 3(a)]. ( d–f ) Corresponding ca...

    work page

  7. [7]

    In LaMnSi, we find that the growth of χ 2ω AFM at low temperatures correlates with the reported drop in electrical resistivity around 200 K 41, in- dicating the development of coherent itinerant electronic states well below the AFM transition. These observa- tions suggest that the parity-violating AFM states and the associated electronic response emerge wh...

    work page

  8. [8]

    The incident synchrotron radiation was focused to a spot size of less than 10 µm at the sample surface

    The experiments uti- lized circularly polarized light with photon energies ( hν) ranging from 400 to 600 eV. The incident synchrotron radiation was focused to a spot size of less than 10 µm at the sample surface. The energy resolution was set to approximately 80 meV. Vacuum ultraviolet ARPES experiments were per- formed at BL9A beamline of the Research In...

    work page

  9. [9]

    The disentanglement pro- cedure was performed only within an energy window from − 10 eV to +4 eV relative to the Fermi level, without fur- ther iterative wannierization

    The model was constructed by including Mn 3d, La 4 f and 5 d, and Si 3 s and 3 p orbitals as initial projections, and fitting the hopping parameters between them on an 8 × 8 × 6 real-grid. The disentanglement pro- cedure was performed only within an energy window from − 10 eV to +4 eV relative to the Fermi level, without fur- ther iterative wannierization....

    work page

  10. [10]

    & Nagaosa, N

    Tokura, Y., Kawasaki, M. & Nagaosa, N. Emergent func- tions of quantum materials. Nat. Phys. 13, 1056–1068 (2017)

    work page 2017

  11. [11]

    & Nagaosa, N

    Tokura, Y. & Nagaosa, N. Nonreciprocal responses from non-centrosymmetric quantum materials. Nat. Commun. 9, 3740 (2018)

    work page 2018

  12. [12]

    Nadeem, M., Fuhrer, M. S. & Wang, X. The supercon- ducting diode effect. Nat. Rev. Phys. 5, 558–577 (2023)

    work page 2023

  13. [13]

    & Yanase, Y

    Nagaosa, N. & Yanase, Y. Nonreciprocal transport and optical phenomena in quantum materials. Annu. Rev. Condens. Matter Phys. 15, 63–83 (2024)

    work page 2024

  14. [14]

    Rikken, G. L. J. A., F¨ olling, J. & Wyder, P. Electrical magnetochiral anisotropy. Phys. Rev. Lett. 87, 236602 (2001)

    work page 2001

  15. [15]

    & Kimura, A

    Okuda, T. & Kimura, A. Spin- and angle-resolved pho- toemission of strongly spin-orbit coupled systems. J. Phys. Soc. Jpn. 82, 021002 (2013)

    work page 2013

  16. [16]

    Dil, J. H. Spin- and angle-resolved photoemission on topological materials. Electron. Struct. 1, 023001 (2019)

    work page 2019

  17. [17]

    C., Nitta, J., Frolov, S

    Manchon, A., Koo, H. C., Nitta, J., Frolov, S. M. & Duine, R. A. New perspectives for Rashba spin-orbit coupling. Nat. Mater. 14, 871–882 (2015)

    work page 2015

  18. [18]

    & Das Sarma, S

    ˇZuti´ c, I., Fabian, J. & Das Sarma, S. Spintronics: Funda- mentals and applications. Rev. Mod. Phys. 76, 323–410 (2004)

    work page 2004

  19. [19]

    Ideue, T. et al. Bulk rectification effect in a polar semi- conductor. Nat. Phys. 13, 578–583 (2017)

    work page 2017

  20. [20]

    Wakatsuki, R. et al. Nonreciprocal charge transport in noncentrosymmetric superconductors. Sci. Adv. 3, e1602390 (2017)

    work page 2017

  21. [21]

    Choe, D. et al. Gate-tunable giant nonreciprocal charge transport in noncentrosymmetric oxide interfaces. Nat. Commun. 10, 4510 (2019)

    work page 2019

  22. [22]

    Kondo, M. et al. Nonreciprocal charge transport in polar Dirac metals with tunable spin-valley coupling. Phys. Rev. Res. 7, 013041 (2025)

    work page 2025

  23. [23]

    He, P. et al. Nonlinear magnetotransport shaped by Fermi surface topology and convexity. Nat. Commun. 10, 1290 (2019)

    work page 2019

  24. [24]

    Relativistic N´ eel-order fields induced by electrical current in antiferromagnets

    ˇZelezn´ y, J.et al. Relativistic N´ eel-order fields induced by electrical current in antiferromagnets. Phys. Rev. Lett. 113, 157201 (2014)

    work page 2014

  25. [25]

    & Zunger, A

    Yuan, L.-D., Wang, Z., Luo, J.-W. & Zunger, A. Predic- tion of low-Z collinear and noncollinear antiferromagneti c compounds having momentum-dependent spin splitting even without spin-orbit coupling. Phys. Rev. Mater. 5, 014409 (2021)

    work page 2021

  26. [26]

    & Kusunose, H

    Hayami, S., Yanagi, Y. & Kusunose, H. Momentum- dependent spin splitting by collinear antiferromagnetic ordering. J. Phys. Soc. Jpn. 88, 123702 (2019)

    work page 2019

  27. [27]

    & Kusunose, H

    Hayami, S. & Kusunose, H. Unified description of elec- tronic orderings and cross correlations by complete mul- tipole representation. J. Phys. Soc. Jpn. 93, 072001 (2024)

    work page 2024

  28. [28]

    & Yanase, Y

    Watanabe, H. & Yanase, Y. Magnetic hexade- capole order and magnetopiezoelectric metal state in 10 Ba1− xKxMn2As2. Phys. Rev. B 96, 064432 (2017)

    work page 2017

  29. [29]

    Jungwirth, T. et al. Symmetry, microscopy and spec- troscopy signatures of altermagnetism. Nature 649, 837– 847 (2026)

    work page 2026

  30. [30]

    Magneto-electric effect in three-dimension al coupled zigzag chains

    Yanase, Y. Magneto-electric effect in three-dimension al coupled zigzag chains. J. Phys. Soc. Jpn. 83, 014703 (2014)

    work page 2014

  31. [31]

    & Yanase, Y

    Watanabe, H. & Yanase, Y. Chiral photocurrent in parity-violating magnet and enhanced response in topo- logical antiferromagnet. Phys. Rev. X 11, 011001 (2021)

    work page 2021

  32. [32]

    & Z¨ ulicke, U

    Winkler, R. & Z¨ ulicke, U. Theory of electric, magnetic , and toroidal polarizations in crystalline solids with ap- plications to hexagonal lonsdaleite and cubic diamond. Phys. Rev. B 107, 155201 (2023)

    work page 2023

  33. [33]

    & Yanase, Y

    Watanabe, H. & Yanase, Y. Magnetic parity violation and parity-time-reversal-symmetric magnets. J. Phys.: Condens. Matter 36, 373001 (2024)

    work page 2024

  34. [34]

    Wang, N. et al. Quantum-metric-induced nonlinear transport in a topological antiferromagnet. Nature 621, 487–492 (2023)

    work page 2023

  35. [35]

    Gao, A. et al. Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure. Science 381, 181–186 (2023)

    work page 2023

  36. [36]

    Zhang, Y. et al. Switchable magnetic bulk photovoltaic effect in the two-dimensional magnet CrI 3. Nat. Com- mun. 10, 3783 (2019)

    work page 2019

  37. [37]

    Sun, Z. et al. Giant nonreciprocal second-harmonic gen- eration from antiferromagnetic bilayer CrI 3. Nature 572, 497–501 (2019)

    work page 2019

  38. [38]

    Mayo, A. H. et al. Band asymmetry-driven nonreciprocal electronic transport in a helimagnetic semimetal α -EuP3. Proc. Natl. Acad. Sci. 122, e2405839122 (2025)

    work page 2025

  39. [39]

    & Yanase, Y

    Watanabe, H. & Yanase, Y. Group-theoretical classifica - tion of multipole order: Emergent responses and candi- date materials. Phys. Rev. B 98, 245129 (2018)

    work page 2018

  40. [40]

    & Kimata, M

    Sudo, K., Yanagi, Y., Akaki, M., Tanida, H. & Kimata, M. Large spontaneous nonreciprocal charge transport in a zero-magnetization antiferromagnet. Phys. Rev. Lett. 136, 016503 (2026)

    work page 2026

  41. [41]

    Sakai, H. et al. Transport evidence of current-induced nematic Dirac valleys in a parity-time-symmetric anti- ferromagnet. Nat. Commun. 16, 11112 (2025)

    work page 2025

  42. [42]

    A., He, Y

    Sobota, J. A., He, Y. & Shen, Z.-X. Angle-resolved photoemission studies of quantum materials. Rev. Mod. Phys. 93, 025006 (2021)

    work page 2021

  43. [43]

    Ye, L. et al. Massive Dirac fermions in a ferromagnetic kagome metal. Nature 555, 638–642 (2018)

    work page 2018

  44. [44]

    & Jensen, E

    LaShell, S., McDougall, B. & Jensen, E. Spin splitting of an Au (111) surface state band observed with angle resolved photoelectron spectroscopy. Phys. Rev. Lett. 77, 3419 (1996)

    work page 1996

  45. [45]

    Krempask` y, J. et al. Entanglement and manipulation of the magnetic and spin–orbit order in multiferroic Rashba semiconductors. Nat. Commun. 7, 13071 (2016)

    work page 2016

  46. [46]

    & Donath, M

    J Grenz, P., Kr¨ uger, P. & Donath, M. Inter- play of spin–orbit and exchange interaction in a ferromagnet/heavy-metal hybrid system: Ni on W(110). New J. Phys. 25, 103037 (2023)

    work page 2023

  47. [47]

    Edwards, B. et al. Giant valley-Zeeman coupling in the surface layer of an intercalated transition metal dichalco - genide. Nat. Mater. 22, 459–465 (2023)

    work page 2023

  48. [48]

    Fedchenko, O. et al. Direct observation of antiferro- magnetic parity violation in the electronic structure of Mn2Au. J. Phys.: Condens. Matter 34, 425501 (2022)

    work page 2022

  49. [49]

    Lytvynenko, Y. et al. Control of the asymmetric band structure in Mn 2Au by a ferromagnetic driver layer. Phys. Rev. B 108, 104413 (2023)

    work page 2023

  50. [50]

    Tanida, H. et al. Nonsymmorphic antiferromagnet LaMnSi: single-crystal studies. J. Phys. Soc. Jpn. 91, 013704 (2022)

    work page 2022

  51. [51]

    Sakai, Y. et al. Microscopic determination of the c-axis- oriented antiferromagnetic structure in LaMnSi by 55Mn and 139La NMR. J. Phys. Soc. Jpn. 95, 024702 (2026)

    work page 2026

  52. [52]

    & Malaman, B

    Welter, R., Venturini, G. & Malaman, B. High rare earth sublattice ordering temperatures in RMnSi compounds (R ≡ La–Sm, Gd) studied by susceptibility measure- ments and neutron diffraction. J. Alloys Compd. 206, 55–71 (1994)

    work page 1994

  53. [53]

    Strocov, V. N. et al. Soft-X-ray ARPES facility at the ADRESS beamline of the SLS: concepts, technical reali- sation and scientific applications. J. Synchrotron Radiat. 21, 32–44 (2014)

    work page 2014

  54. [54]

    Kuroda, K. et al. Experimental determination of the topological phase diagram in Cerium monopnictides. Phys. Rev. Lett. 120, 086402 (2018)

    work page 2018

  55. [55]

    Petersen, J. C. et al. Nonlinear optical signatures of the tensor order in Cd 2Re2O7. Nat. Phys. 2, 605–608 (2006)

    work page 2006

  56. [56]

    Fiebig, M., Pavlov, V. V. & Pisarev, R. V. Second- harmonic generation as a tool for studying electronic and magnetic structures of crystals: review. J. Opt. Soc. Am. B 22, 96–118 (2005)

    work page 2005

  57. [57]

    Wu, L. et al. Giant anisotropic nonlinear optical response in transition metal monopnictide Weyl semimetals. Nat. Phys. 13, 350–355 (2017)

    work page 2017

  58. [58]

    Birss, R. R. Symmetry and Magnetism (North-Holland, 1964)

    work page 1964

  59. [59]

    & Pisarev, R

    Fiebig, M., Fr¨ ohlich, D., Krichevtsov, B. & Pisarev, R. V. Second harmonic generation and magnetic-dipole- electric-dipole interference in antiferromagnetic Cr 2O3. Phys. Rev. Lett. 73, 2127 (1994)

    work page 1994

  60. [60]

    Shiomi, Y. et al. Observation of a magnetopiezoelectric effect in the antiferromagnetic metal EuMnBi 2. Phys. Rev. Lett. 122, 127207 (2019)

    work page 2019

  61. [61]

    Revival of the magnetoelectric effect

    Fiebig, M. Revival of the magnetoelectric effect. J. Phys. D: Appl. Phys. 38, R123–R152 (2005)

    work page 2005

  62. [62]

    & Nagaosa, N

    Tokura, Y., Seki, S. & Nagaosa, N. Multiferroics of spin origin. Rep. Prog. Phys. 77, 076501 (2014)

    work page 2014

  63. [63]

    Wadley, P. et al. Electrical switching of an antiferromag- net. Science 351, 587–590 (2016)

    work page 2016

  64. [64]

    Bodnar, S. Y. et al. Writing and reading antiferro- magnetic Mn 2Au by N´ eel spin-orbit torques and large anisotropic magnetoresistance. Nat. Commun. 9, 348 (2018)

    work page 2018

  65. [65]

    Nair, N. L. et al. Electrical switching in a magnetically intercalated transition metal dichalcogenide. Nat. Mater. 19, 153–157 (2020)

    work page 2020

  66. [66]

    & Mitsumoto, K

    Tanida, H., Matsuoka, H., Kawamura, Y. & Mitsumoto, K. Possible Heavy-Fermion State in PT -Symmetric An- tiferromagnet CeMnSi. J. Phys. Soc. Jpn. 92, 044703 (2023)

    work page 2023

  67. [67]

    Muro, T. et al. Soft X-ray ARPES for three-dimensional crystals in the micrometre region. J. Synchrotron Radiat. 28, 1631–1638 (2021)

    work page 2021

  68. [68]

    Blaha, P. et al. WIEN2k: An APW+ lo program for calculating the properties of solids. J. Chem. Phys. 152 (2020)

    work page 2020

  69. [69]

    P., Burke, K

    Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 11 77, 3865–3868 (1996)

    work page 1996

  70. [70]

    0 ! " kx (Å # $ ) - % ! -0.5 0 E - EF (eV) - ! & - !

    Pizzi, G. et al. Wannier90 as a community code: new features and applications. J. Phys.: Condens. Matter 32, 165902 (2020). 12 Supplementary Information for: Realization of a parity-violating antiferromagnetic stat e in LaMnSi Takuma Iwata1,2, K. Shiraishi 1, T. Aoyama 1,2, D. Senba 1, T. Takeda 1,3, Y. Fujisawa 4, M. Nurmamat 1, K. Nakanishi 1, K. Yamaga...

    work page 2020

  71. [71]

    • Crystallographic (axial- i tensor): χ 3 = χ xyz = − χ yzx

    Here, the independent parameters are defined based on their physical origin s and symmetry properties: • AFM (polar- c tensor): χ 1 = χ xyz = χ yzx and χ 2 = χ zxy . • Crystallographic (axial- i tensor): χ 3 = χ xyz = − χ yzx. 20 • Surface (polar- i tensor): χ a = χ xzx = χ yyz = χ zyy = χ zxx and χ b = χ zzz . Here, the Cartesian coordinates x, y , and z ...

    work page

  72. [72]

    Tanida, H

    H. Tanida, H. Matsuoka, K. Mitsumoto, Y. Muro, T. Fukuhar a, and H. Harima, J. Phys. Soc. Jpn. 91, 013704 (2022)

    work page 2022

  73. [73]

    Hayami and H

    S. Hayami and H. Kusunose, J. Phys. Soc. Jpn. 93, 072001 (2024)

    work page 2024

  74. [74]

    Hayami, M

    S. Hayami, M. Yatsushiro, Y. Yanagi, and H. Kusunose, Phys. Rev. B 98, 165110 (2018)

    work page 2018

  75. [75]

    Suzuki, T

    M.-T. Suzuki, T. Koretsune, M. Ochi, and R. Arita, Phys. Rev. B 95, 094406 (2017)

    work page 2017

  76. [76]

    Yanase, J

    Y. Yanase, J. Phys. Soc. Jpn. 83, 014703 (2014)

    work page 2014

  77. [77]

    Watanabe and Y

    H. Watanabe and Y. Yanase, Phys. Rev. B 96, 064432 (2017)

    work page 2017

  78. [78]

    Shiomi, H

    Y. Shiomi, H. Watanabe, H. Masuda, H. Takahashi, Y. Yanas e, and S. Ishiwata, Phys. Rev. Lett. 122, 127207 (2019)

    work page 2019

  79. [79]

    V. N. Strocov, X. Wang, M. Shi, M. Kobayashi, J. Krempasky , C. Hess, T. Schmitt, and L. Patthey, J. Synchrotron Radiat. 21, 32 (2014)

    work page 2014

  80. [80]

    H¨ ufner,Photoelectron spectroscopy: principles and applications (Springer Science & Business Media, 2013)

    S. H¨ ufner,Photoelectron spectroscopy: principles and applications (Springer Science & Business Media, 2013)

    work page 2013

Showing first 80 references.