Pith. sign in

REVIEW 3 major objections 6 minor 1 cited by

Spin ordering-induced fully-compensated ferrimagnetism

T0 review · 3 major / 6 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 By flipping the Néel vector of one layer in a B-stacked bilayer of Cr2C2S6, a zero-net-magnetization antiferromagnet becomes a fully-compensated ferrimagnet with global non-relativistic spin splitting.

desk verdict Spin ordering as a design knob for fully-compensated ferrimagnetism is a genuinely new idea with a clean symmetry argument, but the paper overclaims switchability without checking whether the non-PT state is even metastable. read the letter →

arxiv 2507.10848 v1 pith:STEVHM7E submitted 2025-07-14 cond-mat.mtrl-sci

San-Dong Guo , Shaobo Chen , Guangzhao Wang This is my paper
classification cond-mat.mtrl-sci
keywords fully-compensatedferrimagnetismspinorderingengineeringnonrelativisticsplittingNéelvectorswitchingbilayerstackingaltermagnetismCr2C2S6zero-net-magnetizationmagnets
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 proposes that fully-compensated ferrimagnetism—zero net magnetic moment with non-relativistic spin splitting across the whole Brillouin zone—can be created purely by reordering spins, with no change to the atomic lattice. The demonstration is a B-stacked bilayer of monolayer Cr2C2S6, where flipping the Néel vector (the staggered spin direction) of one layer by 180° removes the [C2||P] symmetry that kept the bands spin-degenerate, while the total moment stays at 0 μB. Because [C2||M] and [C2||C] are also absent, the resulting state is a fully-compensated ferrimagnet rather than an altermagnet, and the band structure shows global spin splitting with equal absolute moments (3.006 μB) on every Cr atom. The same spin-ordering mechanism is shown to produce altermagnetism in a B-stacked bilayer of Cr2SO. The paper argues that the small energy difference between the two magnetic orderings (about 1 meV) makes the switch practical.

What carries the argument

The key machinery is the symmetry analysis of zero-net-magnetization magnets in terms of combined spin-space and lattice operations: [C2||P], [C2||M], and [C2||C], where C2 is a twofold rotation in spin space about an axis perpendicular to the spin direction. [C2||P] combined with time reversal keeps bands spin-degenerate; breaking [C2||P] allows spin splitting, and if [C2||M] or [C2||C] remains the result is an altermagnet, while if all three are absent the result is a fully-compensated ferrimagnet. The specific realization is a bilayer built from an antiferromagnetic monolayer with two magnetic atoms per primitive cell, stacked so the lattice retains inversion symmetry P; the control operation is a 180° flip of one layer's Néel vector, which toggles [C2||P] without changing the atomic arrangement.

What would settle it

A decisive check would be to compute the total energy as a function of the lower layer's Néel-vector angle in B-stacked Cr2C2S6; if the 180° (non-PT) configuration is not a local minimum, or if the reversal barrier is comparable to or below thermal energy at operating temperatures, the proposed switchable ferrimagnet cannot be held. Repeating the DFT+U calculation with the Hubbard U varied over a 2–4 eV range would further test whether the 1.04 meV ordering preference is robust or an artifact of the chosen parameter.

Watch

Extended reading notes

Core claim

The central claim is that spin ordering is an independent switching coordinate that can transform a zero-net-magnetization magnet from a PT-antiferromagnet into a fully-compensated ferrimagnet. In the B-stacked Cr2C2S6 bilayer, the lattice has inversion symmetry P, and in one Néel arrangement the combined spin-lattice symmetry [C2||P] is present, which enforces exact spin degeneracy everywhere in the Brillouin zone. Flipping the lower layer's Néel vector by 180° removes [C2||P] without creating [C2||M] or [C2||C], so the spin splitting that appears is global and s-wave-like, not altermagnetic. The calculation finds the PT-symmetric ordering 1.04 meV lower in energy than the non-PT ordering, the non-PT state has total moment 0 μB, and all Cr atoms carry ±3.006 μB, so the ferrimagnetic compensation is exact while the bands are spin-split throughout the Brillouin zone. The authors take this as evidence that fully-compensated ferrimagnetism can be engineered by spin order alone.

Load-bearing premise

The load-bearing assumption is that the non-PT spin configuration—computed to be only 1.04 meV above the PT state—is a stable, switchable magnetic state rather than a saddle point that reverts to the PT ordering.

Editorial extensions

If this is right

  • B-stacked bilayer Cr2C2S6 can be switched between spin-degenerate PT-antiferromagnetic and globally spin-split fully-compensated ferrimagnetic states by a 180° Néel-vector flip of one layer, with an energy separation of only about 1 meV.
  • Unlike electric-field, Janus, or alloying approaches, spin-ordering engineering leaves the absolute magnetic moments of all magnetic atoms equal, so exact zero-net magnetization coexists with global spin splitting.
  • Biaxial strain in the range 0.96–1.04 relative to the equilibrium lattice constant preserves the fully-compensated ferrimagnetic state; tensile strain moves the valence-band maximum to the M point and enhances the spin splitting there, which is favorable for spintronic use.
  • The same symmetry mechanism generates altermagnetism when [C2||M] or [C2||C] survives: in B-stacked bilayer Cr2SO, the non-PT ordering is 1.13 meV lower in energy and produces altermagnetic spin splitting.
  • Because the switching coordinate is spin order rather than lattice distortion, the strategy applies to any stack of an antiferromagnetic monolayer with at least two magnetic atoms per primitive cell that admits such a Néel flip.

Reading between the lines

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

  • A testable extension is to screen other members of the Cr2XY family (X = C, Si, Ge; Y = S, O) in B-stacked bilayers, looking for cases where the non-PT order is the ground state; Cr2SO already shows that preference, so the sign and magnitude of the interlayer exchange energy is a natural descriptor.
  • The paper implicitly assumes the 180° Néel flip can be performed coherently; computing the energy landscape between the two orderings and the required spin-orbit-torque switching current would show whether the 1.04 meV separation is a usable memory window or a thermally unstable point.
  • If the fully-compensated ferrimagnetic order is stabilized at working temperatures, the equal-moment property implies a device scheme in which magnetic order, not chemical composition, controls the spin texture—so the same material could act as a spin-degenerate antiferromagnet or a spin-splitting ferrimagnet on demand.
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 / 6 minor

Summary. This paper proposes a new route to fully-compensated ferrimagnetism by engineering the spin ordering rather than the lattice structure. Using bilayer stacking of monolayer Cr2C2S6, the authors show that the B-stacked bilayer has lattice inversion symmetry P, and the spin arrangement can either preserve the combined [C2||P] symmetry (PT-antiferromagnet, spin-degenerate bands) or break it (non-PT state). Since the non-PT state also lacks [C2||M] and [C2||C] symmetries, it is classified as a fully-compensated ferrimagnet with global non-relativistic spin splitting. DFT calculations confirm that the PT state is 1.04 meV lower in energy and that the non-PT state exhibits spin splitting along the computed paths. The strategy is extended to bilayer Cr2SO, where spin-ordering tuning induces a transition between PT-antiferromagnetism and altermagnetism, with the non-PT state 1.13 meV lower in energy. The authors also show that strain can tune the valence-band maximum position.

Significance. If the proposed switching is experimentally realizable, the paper offers a conceptually new handle—spin ordering—for designing fully-compensated ferrimagnets and altermagnets without modifying the crystal structure. The symmetry analysis is standard, and the DFT calculations are reasonable. The paper also emphasizes that spin-ordering-induced fully-compensated ferrimagnets have equal absolute magnetic moments on all magnetic atoms, in contrast to structure-modulated fully-compensated ferrimagnets, which is a useful distinction. However, the material realization depends on the metastability of the non-PT state and on the robustness of the tiny energy ordering, neither of which is demonstrated. The qualitative nature of the spin-splitting evidence leaves the 'global' claim supported only by the symmetry classification.

major comments (3)
  1. [Material realization, paragraph starting 'For B-stacking, the magnetic ordering with PT symmetry...'] The claim that the fully-compensated ferrimagnetic (non-PT) state can be reached by flipping the Néel vector of one layer presupposes that this state is a local energy minimum. The paper reports the PT-symmetric state to be 1.04 meV lower in energy for B-stacked Cr2C2S6, but it does not provide a total-energy scan as a function of the relative interlayer Néel-vector angle, a constrained-moment relaxation study, or an estimate of the switching barrier. Without such evidence, the non-PT state could be a saddle point or relax back to the PT state, in which case the proposed spin-ordering route would not be realizable in this material. Please add a stability check or explicitly discuss the barrier and its implications.
  2. [Computational detail / Material realization] The energy difference between the PT and non-PT states is only 1.04 meV (and 1.13 meV for Cr2SO), which is comparable to typical DFT numerical uncertainties and likely sensitive to the Hubbard U parameter (U_eff = 3.0 eV for Cr2C2S6 and 3.55 eV for Cr2SO). The paper does not test how this energy ordering varies with U; a modest U change could reverse the ordering or destabilize the non-PT state. The authors should provide a U-dependence study or robustly justify the chosen U values to support the material-specific claims.
  3. [Material realization, 'Next, we corroborate our analysis...'] The evidence for 'global spin splitting' is presented through band structures along a limited set of high-symmetry paths (Figure 5). The paper does not quantify the spin splitting (e.g., maximum/minimum values in the Brillouin zone) nor demonstrate that the splitting is s-wave (momentum-independent) over the entire BZ. While the symmetry classification is standard, the DFT confirmation would be stronger if the authors provided a spin-splitting map or an explicit statement of the symmetry-enforced degeneracy lifting over the full BZ. As it stands, the 'global' claim rests entirely on the classification rather than on the presented data.
minor comments (6)
  1. [Discussion and conclusion] The text and Figure 7 caption contain the typo 'alternemagnetism' and 'alternagnetism'; the correct term is 'altermagnetism'.
  2. [Computational detail] The phrase 'Monkhorst-Pack k-point meshe' contains a typo; it should be 'mesh'.
  3. [References] Reference [30] to the Supplemental Material is missing the URL; please provide it.
  4. [Approach] The notation [C2||P], [C2||M], and [C2||C] is used without a formal definition; state explicitly that C2 is a 180° rotation in spin space about an axis perpendicular to the spin quantization axis.
  5. [Material realization] The statement that the A-stacking 'is generally not a minimum' is confusing; clarify whether this refers to the total energy or to the magnetic state, and explain the relation to the B-stacking energy.
  6. [Figures] The band structures in Figures 5 and 6 do not indicate the Fermi level; adding it would improve readability.

Circularity Check

0 steps flagged · score 2.0 of 10

No material circularity: the core spin-splitting result is an independent first-principles calculation, and the self-citations supply only the standard symmetry vocabulary, not the derived outcome.

full rationale

The paper's derivation chain is: (i) classify zero-net-magnetization magnets by the presence or absence of [C2||P], [C2||M], and [C2||C] symmetries; (ii) construct a bilayer from a known monolayer Cr2C2S6; (iii) choose a spin ordering that breaks [C2||P] while preserving zero net magnetization; and (iv) compute band structures with DFT showing global spin splitting. The final result, spin splitting in the non-PT state, is not obtained by fitting any parameter to that splitting; it is a direct consequence of the declared spin configuration and is verified by self-consistent DFT bands. The symmetry conditions themselves are quoted from prior work by the same authors (refs [6,7,13]) and by Smejkal et al. (ref [4]), but they are used as classification criteria, not as an unproven premise that already contains the material-specific conclusion. The use of Ueff=3.0 eV for Cr is adopted from earlier work (ref [13]) and is not fitted to the target spin-splitting property. The monolayer's stability is also cited from ref [13], a self-citation, but this is background material characterization rather than a load-bearing step in the symmetry-derived argument; the magnetic ground state of the monolayer is separately computed here (FIG.S1). The main physical caveat is the claim that the PT and non-PT states 'can be interconverted simply by tuning the Néel vector' based on a 1.04 meV energy difference, with no explicit barrier or local-minimum check. That is a correctness/metastability concern, not a circularity: the band-structure demonstration does not assume the switching claim. Overall, no constructed prediction reduces to its input, and the DFT demonstration is self-contained against the symmetry framework; the minor self-citations do not create a circular derivation.

Assumptions & free parameters 2 free parameters · 3 assumptions · 0 invented entities

The central claim depends on two Hubbard U parameters taken from prior work, on standard DFT assumptions, and on the symmetry classification of zero-moment magnets. No new physical entities are introduced. The most fragile input is the 1.04 meV energy difference between the PT and non-PT states, which is within typical DFT error bars and could be affected by the U choice.

free parameters (2)
  • U_eff for Cr-3d in Cr2C2S6 = 3.0 eV
    Hubbard correction chosen from prior literature (refs [13,27]), not fitted here. The small energy difference between PT and non-PT magnetic states (1.04 meV) and the band splitting may depend on this choice; no sensitivity analysis is provided.
  • U_eff for Cr-3d in Cr2SO = 3.55 eV
    Hubbard correction chosen from prior literature (refs [28,29]). Affects the Cr2SO band structure and magnetic state energetics.
assumptions (3)
  • domain assumption Net-zero-magnetization collinear magnets are classified into PT-antiferromagnets, altermagnets, and fully-compensated ferrimagnets by their spin-space symmetries.
    Invoked in the Introduction and Approach to define the target state and the symmetry rules for spin splitting. Standard framework in the field, but a prerequisite for the argument.
  • domain assumption Each monolayer remains in the AFM1 (Néel) magnetic ordering and only the interlayer arrangement is varied.
    The paper assumes intralayer AFM1 order is robust because it is at least 114 meV lower than other monolayer configurations and interlayer coupling is weak (Material realization paragraph). This neglects possible layer-dependent spin canting or intersublattice order changes.
  • domain assumption DFT+U with the Dudarev approach and PBE functional accurately describes the ground state of Cr2C2S6 and Cr2SO.
    Standard assumption for correlated 2D magnets. The choice of U is ad hoc and could affect the small energy ordering between PT and non-PT states.

how reviews work

0 comments
Cite this review

Pith. "Pith review of Spin ordering-induced fully-compensated ferrimagnetism." pith.science (2026). https://pith.science/paper/STEVHM7E

@misc{pith2026250710848,
  author       = {Pith},
  title        = {Pith review of: Spin ordering-induced fully-compensated ferrimagnetism},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/STEVHM7E}},
  note         = {Machine review of arXiv:2507.10848}
}
abstract

Fully-compensated ferrimagnets exhibit zero net magnetic moment yet display non-relativistic global spin splitting, making them highly advantageous for constructing high-performance spintronic devices. The general strategy is to break the inversion symmetry of conventional antiferromagnets or the rotational/mirror symmetry of altermagnets to achieve fully-compensated ferrimagnets. Here, we propose to induce fully-compensated ferrimagnetism by engineering the spin ordering rather than modifying the lattice structure. Bilayer stacking engineering offers a convenient platform to verify our proposal and readily enables switching between two distinct electronic states by tuning the $\mathrm{N\acute{e}el}$ vector of one layer. By the first-principles calculations, a bilayer system is constructed with monolayer $\mathrm{Cr_2C_2S_6}$ as the elementary building block to corroborate our proposal. This strategy can also be extended to inducing altermagnetism via spin ordering engineering. Our work offers an alternative route to realize non-relativistic spin splitting in zero-net-magnetization magnets, paving the way for the advancement and construction of low-power spintronic device.

Figures

Figures reproduced from arXiv: 2507.10848 by the authors.

Figure 1
Figure 1. FIG. 1. (Color online)(a):the magnetic atoms with opposite [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 3
Figure 3. FIG. 3. (Color online)By bilayer stacking engineering, (a) has [PITH_FULL_IMAGE:figures/full_fig_p002_3.png] view at source ↗
Figure 4
Figure 4. FIG. 4. (Color online)The top (a, b, c) and side (d, e, f) views of the crystal structures of monolayer Cr [PITH_FULL_IMAGE:figures/full_fig_p003_4.png] view at source ↗
Figures from the paper (3 more)
Figure 5
Figure 5. Figure 5: FIG. 5. (Color online) The energy band structures of bilayer [PITH_FULL_IMAGE:figures/full_fig_p003_5.png]
Figure 6
Figure 6. Figure 6: FIG. 6. (Color online) The enlargements of the conduction (top) and valence (bottom) bands near the Fermi level for bilayer [PITH_FULL_IMAGE:figures/full_fig_p004_6.png]
Figure 7
Figure 7. Figure 7: FIG. 7. (Color online)The top (a) and side (b) views of the [PITH_FULL_IMAGE:figures/full_fig_p005_7.png]

Discussion (0). Sign in to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Achieving fully-compensated ferrimagnetism through two-dimensional heterojunctions

    cond-mat.mtrl-sci 2025-09 conditional novelty 6.0 of 10

    Two equally magnetized 2D ferromagnets stacked with opposite spins give a fully-compensated ferrimagnet with spin-splitting, shown by DFT in CrI3/CrGeTe3 and YBr2/YCl2.

Reference graph

Works this paper leans on

32 extracted references · 16 canonical work pages · cited by 1 Pith paper

  1. [1]

    S. A. Wolf, D. D. Awschalom, R. A. Buhrman, J. M. Daughton, S. von Moln´ ar, M. L. Roukes, A. Y. Chtchelkanova and D. M. Treger, Spintronics: a spin- based electronics vision for the future, Science 294, 1488 (2001)

    work page 2001

  2. [2]

    Hu, Half-metallic antiferromagnet as a prospective material for spintronics, Adv

    X. Hu, Half-metallic antiferromagnet as a prospective material for spintronics, Adv. Mater. 24, 294 (2012)

    work page 2012

  3. [3]

    Jungwirth, J

    T. Jungwirth, J. Sinova, A. Manchon, X. Marti, J. Wun- derlich and C. Felser, The multiple directions of antifer- romagnetic spintronics, Nat. Phys. 14, 200 (2018)

    work page 2018

  4. [4]

    ˘Smejkal, J

    L. ˘Smejkal, J. Sinova and T. Jungwirth, Beyond conven- tional ferromagnetism and antiferromagnetism: A phase with nonrelativistic spin and crystal rotation symmetry, Phys. Rev. X 12, 031042 (2022)

    2022

  5. [5]

    Mazin, Altermagnetism-a new punch line of fundamen- tal magnetism, Phys

    I. Mazin, Altermagnetism-a new punch line of fundamen- tal magnetism, Phys. Rev. X 12, 040002 (2022)

    work page 2022

  6. [6]

    S. D. Guo, Valley polarization in two-dimensional zero- net-magnetization magnets, Appl. Phys. Lett. 126, 6 080502 (2025)

    work page 2025

  7. [7]

    Y. Liu, S. D. Guo, Y. Li and C. C. Liu, Two-dimensional fully-compensated Ferrimagnetism, Phys. Rev. Lett. 134, 116703 (2025)

    2025

  8. [8]

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

    work page 2024

Show all 32 references
  1. [9]

    van Leuken and R

    H. van Leuken and R. A. de Groot, Half-Metallic Anti- ferromagnets, Phys. Rev. Lett. 74, 1171 (1995)

    1995

  2. [10]

    Akai and M

    H. Akai and M. Ogura, Half-Metallic Diluted Antiferro- magnetic Semiconductors, Phys. Rev. Lett. 97, 026401 (2006)

    2006

  3. [11]

    Wurmehl, H

    S. Wurmehl, H. C. Kandpal, G. H. Fecher, and C. Felser, Valence electron rules for prediction of half- metallic compensated-ferrimagnetic behaviour of Heusler compounds with complete spin polarization, J. Phys.: Condens. Matter 18, 6171 (2006)

    2006

  4. [12]

    F. Yao, M. Liao, M. Gibertini et al., Switching on and off the spin polarization of the conduction band in anti- ferromagnetic bilayer transistors. Nat. Nanotechnol. 20, 609 (2025)

    2025

  5. [13]

    S. D. Guo, X. S. Guo, D. C. Liang and G. Wang, Symmetry-breaking induced transition among net-zero- magnetization magnets, J. Mater. Chem. C 13, 11997 (2025)

    2025

  6. [14]

    S. D. Guo, Y. L. Tao, G. Wang and Y. S. Ang, How to produce spin-splitting in antiferromagnetic materials, J. Phys.: Condens. Matter 36, 215804 (2024)

    2024

  7. [15]

    Zhang, S

    L. Zhang, S. D. Guo and G. Zhu, Electric-field-induced fully-compensated ferrimagnetism in experimentally syn- thesized monolayer MnSe, arXiv:2503.14834 (2025)

    2025 arXiv

  8. [16]

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

    2024

  9. [17]

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

    2023

  10. [18]

    Jiang, C

    P. Jiang, C. Wang, D. Chen, Z. Zhong, Z. Yuan, Z. Y. Lu and W. Ji, Stacking tunable interlayer magnetism in bilayer CrI3, Phys. Rev. B 99, 144401 (2019)

    2019

  11. [19]

    S. D. Guo, P. Li and G. Wang, First-principles calcu- lations study of valley polarization in antiferromagnetic bilayer systems, Phys. Rev. B 111, L140404 (2025)

    2025

  12. [20]

    L. Han, X. Fu, R. Peng et al., Electrical 180 ◦ switching of N´ eel vector in spin-splitting antiferromagnet, Sci. Adv. 10, eadn0479 (2024)

    2024

  13. [21]

    Hohenberg and W

    P. Hohenberg and W. Kohn, Inhomogeneous Electron Gas, Phys. Rev. 136, B864 (1964); W. Kohn and L. J. Sham, Self-Consistent Equations Including Exchange and Correlation Effects, Phys. Rev. 140, A1133 (1965)

    1964

  14. [22]

    Kresse, Ab initio molecular dynamics for liquid met- als, J

    G. Kresse, Ab initio molecular dynamics for liquid met- als, J. Non-Cryst. Solids 193, 222 (1995)

    1995

  15. [23]

    Kresse and J

    G. Kresse and J. Furthm¨uller, Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set, Comput. Mater. Sci. 6, 15 (1996)

    1996

  16. [24]

    Kresse and D

    G. Kresse and D. Joubert, From ultrasoft pseudopoten- tials to the projector augmented-wave method, Phys. Rev. B 59, 1758 (1999)

    1999

  17. [25]

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

    1996

  18. [26]

    S. L. Dudarev, G. A. Botton, S. Y. Savrasov, C. J. Humphreys, and A. P. Sutton, Electron-energy-loss spec- tra and the structural stability of nickel oxide: An LSDA+U study, Phys. Rev. B 57, 1505 (1998)

    1998

  19. [27]

    P. Wang, D. X. Wu, K. Zhang and X. J. Wu, Two-Dimensional Quaternary Transition Metal Sulfide CrMoA2S6 (A = C, Si, or Ge): A Bipolar Antiferromag- netic Semiconductor with a High N´ eel Temperature, J. Phys. Chem. Lett. 13, 3850 (2022)

    2022

  20. [28]

    X. Chen, D. Wang, L. Y. Li and B. Sanyal, Giant spin- splitting and tunable spin-momentum locked transport in room temperature collinear antiferromagnetic semimetal- lic CrO monolayer, Appl. Phys. Lett.123, 022402 (2023)

    2023

  21. [29]

    Guo, X.-S

    S.-D. Guo, X.-S. Guo, K. Cheng, K. Wang, and Y. S. Ang, Piezoelectric altermagnetism and spin-valley polar- ization in Janus monolayer Cr2SO, Appl. Phys. Lett 123, 082401 (2023)

    2023

  22. [30]

    See Supplemental Material at [] for magnetic configura- tions, BZ with high symmetry points, energy difference as a function of a/a0, the related crystal structures of Cr2SO and energy band structures of bilayer A-stacked Cr2C2S6

  23. [31]

    Mazin, R

    I. Mazin, R. Gonz´ alez-Hern´ andez and L. ˘Smejkal, In- duced Monolayer Altermagnetism in MnP(S , Se)3 and FeSe, arXiv:2309.02355 (2023)

    2023 arXiv

  24. [32]

    W. Sun, W. Wang, C. Yang, S. Huang, N. Ding, S. Dong and Z. Cheng, Designing Spin Symmetry for Altermag- netism with Strong Magnetoelectric Coupling. Adv. Sci. e03235 (2025)

    2025

Pith tools

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