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arxiv: 2606.18964 · v1 · pith:KSJEE2RUnew · submitted 2026-06-17 · ❄️ cond-mat.mtrl-sci · cond-mat.mes-hall

Projected altermagnetism by symmetry reduction at surfaces and in thin films

Sopheak Sorn , Charanpreet Singh , Lukasz Plucinski , Gustav Bihlmayer , Yuriy Mokrousov , Wulf Wulfhekel This is my paper

Pith reviewed 2026-06-26 20:09 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci cond-mat.mes-hall
keywords altermagnetismspin splittingthin filmssurfacessymmetry reductiong-waved-wavespin-splitter effect
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The pith

Surfaces of g-wave altermagnets can project d-wave spin splitting in thin films.

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

The paper examines how surfaces and thin films inherently break the symmetries that define bulk altermagnets. When a surface aligns with a symmetry plane of the altermagnetic order, the two-dimensional bands become spin-degenerate like those in conventional antiferromagnets. In other orientations the symmetry is reduced, changing the form of the spin splitting. The central finding is a specific thin-film geometry of a g-wave altermagnet whose surface termination produces d-wave spin splitting, an effect usually tied to the spin-splitter phenomenon. This shows that surfaces can be used to functionalize altermagnets whose bulk order is not d-wave, offering a route to control spin-dependent transport without altering the underlying crystal.

Core claim

When the surface coincides with a symmetry plane of the bulk altermagnetic order, the resulting two-dimensional Brillouin zone exhibits spin-degenerate bands, corresponding to conventional antiferromagnetic behavior. In all other cases, the symmetry of the altermagnetic order is reduced, leading to modified spin splitting. A thin-film geometry of a g-wave altermagnet with a particular surface orientation enables a d-wave spin splitting, which is commonly accompanied by the spin-splitter effect.

What carries the argument

Symmetry reduction at surfaces that projects the bulk altermagnetic spin-splitting wave symmetry onto a lower-order form such as g-wave to d-wave.

If this is right

  • Surfaces coinciding with a symmetry plane produce spin-degenerate bands identical to conventional antiferromagnets.
  • All other surface orientations reduce the altermagnetic symmetry and modify the spin splitting.
  • Non-d-wave altermagnets can be functionalized by surfaces to exhibit d-wave splitting and the associated spin-splitter effect.
  • Surfaces and thin films supply a tunable platform for spin-dependent electronic phenomena.

Where Pith is reading between the lines

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

  • Device designers could select film orientation rather than bulk crystal symmetry to access desired spin textures in a broader set of altermagnetic compounds.
  • The same projection principle may apply at interfaces in heterostructures, allowing engineered spin splitting without bulk symmetry constraints.
  • Systematic mapping of surface orientations for known altermagnets could identify additional cases where higher-order bulk order projects to lower-order 2D splitting.

Load-bearing premise

Bulk altermagnetic order symmetries remain intact sufficiently close to the surface except for the explicit breaking by the surface termination.

What would settle it

Angle-resolved photoemission or spin-resolved spectroscopy on a thin film of a known g-wave altermagnet with the identified surface orientation, checking whether the measured spin texture in the 2D Brillouin zone shows d-wave character.

Figures

Figures reproduced from arXiv: 2606.18964 by Charanpreet Singh, Gustav Bihlmayer, Lukasz Plucinski, Sopheak Sorn, Wulf Wulfhekel, Yuriy Mokrousov.

Figure 1
Figure 1. Figure 1: FIG. 1. Illustration of bulk states projecting onto surface [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Crystal structure (a,d,g) of CrSb thin slabs of (001), (010), and (2 [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
read the original abstract

Altermagnets are a newly identified class of magnetic materials that combine vanishing net magnetization within the unit cell with spin-split electronic states. Their theoretical description relies on symmetry properties of the bulk band structure. Surfaces and thin films, however, inherently break these symmetries. Here, we investigate the consequences of such symmetry reduction for the electronic structure of bulk altermagnets near the surface and of thin films. When the surface coincides with a symmetry plane of the bulk altermagnetic order, the resulting two-dimensional Brillouin zone exhibits spin-degenerate bands, corresponding to conventional antiferromagnetic behavior. In all other cases, the symmetry of the altermagnetic order is reduced, leading to modified spin splitting. Remarkably, we discover a thin-film geometry of a $g$-wave altermagnet with a particular surface orientation that enables a $d$-wave spin splitting, which is commonly accompanied by the spin-splitter effect, suggesting the functionalization of non-$d$-wave altermagnets by surfaces. Our findings demonstrate that symmetry breaking at surfaces and in thin films fundamentally reshapes altermagnetic spin textures, providing a tunable platform for controlling spin-dependent electronic phenomena.

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 / 2 minor

Summary. The manuscript examines how surfaces and thin films break the symmetries of bulk altermagnets, leading to modified spin splitting in the electronic structure. When the surface aligns with a bulk symmetry plane, the 2D Brillouin zone shows spin-degenerate bands akin to conventional antiferromagnets; otherwise, the altermagnetic order symmetry is reduced. The central result is the identification of a thin-film geometry for a g-wave altermagnet with a specific surface orientation that projects to d-wave spin splitting, accompanied by the spin-splitter effect.

Significance. If the central symmetry-projection result holds, the work offers a geometry-based route to functionalize non-d-wave altermagnets for spin-dependent transport, providing a tunable platform without introducing free parameters. The analysis relies on standard bulk symmetry arguments applied to reduced dimensionality, which is a strength for reproducibility.

major comments (2)
  1. [thin-film geometry section] The projection of g-wave bulk order to d-wave spin splitting in the thin-film geometry (abstract and the section on thin-film results) assumes that the bulk altermagnetic order parameter and its symmetry planes remain unchanged in the near-surface region. No calculation or discussion addresses possible surface relaxation, moment rotation, or additional spin-orbit terms that could alter or suppress the projected d-wave character and spin-splitter effect.
  2. [surface symmetry reduction analysis] The claim that symmetry reduction leads to modified spin splitting in all non-symmetry-plane cases lacks explicit checks against possible surface-induced reconstructions that might restore or eliminate mirror/rotation elements not captured by the bulk termination analysis alone.
minor comments (2)
  1. [abstract] The abstract would benefit from naming the specific surface orientation or example material to make the g-to-d conversion claim immediately verifiable.
  2. [methods or symmetry tables] Notation for the 2D Brillouin zone folding and spin textures could be clarified with an additional figure or table summarizing the symmetry elements before and after surface termination.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We are grateful to the referee for the careful reading of our manuscript and the constructive feedback. Below we provide point-by-point responses to the major comments.

read point-by-point responses

  1. Referee: [thin-film geometry section] The projection of g-wave bulk order to d-wave spin splitting in the thin-film geometry (abstract and the section on thin-film results) assumes that the bulk altermagnetic order parameter and its symmetry planes remain unchanged in the near-surface region. No calculation or discussion addresses possible surface relaxation, moment rotation, or additional spin-orbit terms that could alter or suppress the projected d-wave character and spin-splitter effect.

    Authors: The manuscript employs symmetry arguments based on the bulk altermagnetic order to analyze the effects of surface termination. We acknowledge that this approach assumes the order parameter and symmetry planes are preserved near the surface. No explicit calculations of surface effects are included, as the focus is on the geometric projection of symmetries. We will add a discussion paragraph in the thin-film results section to clarify this assumption and note that surface relaxation, moment rotation, or spin-orbit terms could modify the projected spin splitting in actual materials. This revision will address the scope of our ideal symmetry-based analysis. revision: yes

  2. Referee: [surface symmetry reduction analysis] The claim that symmetry reduction leads to modified spin splitting in all non-symmetry-plane cases lacks explicit checks against possible surface-induced reconstructions that might restore or eliminate mirror/rotation elements not captured by the bulk termination analysis alone.

    Authors: Our analysis of surface symmetry reduction is derived from the symmetries of the bulk termination. We recognize that surface-induced reconstructions could in principle alter the symmetry elements. The manuscript does not include explicit checks for such reconstructions. We will revise the surface symmetry reduction analysis section to include a statement acknowledging this possibility and emphasizing that our results pertain to the symmetry breaking from the ideal surface cut. This will provide a more complete context for the claims. revision: yes

Circularity Check

0 steps flagged

No circularity: symmetry reduction is independent group-theoretic argument

full rationale

The derivation proceeds by applying standard symmetry operations of the bulk altermagnetic order (g-wave) to the reduced symmetry at a surface termination, followed by explicit 2D Brillouin-zone folding. No fitted parameters, no self-referential definitions, and no load-bearing self-citations appear in the symmetry tables or projection arguments. The central result (g-wave bulk projects to d-wave surface splitting for a specific orientation) follows directly from the listed symmetry planes and the explicit breaking of translation by the surface; it is not equivalent to any input by construction. The assumption that bulk order persists near the surface is an external physical premise, not a definitional loop.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The work rests on standard symmetry properties of bulk altermagnets and the geometric effect of surface termination; no free parameters, ad-hoc axioms, or new entities are introduced in the abstract.

axioms (1)
  • domain assumption Bulk altermagnetic order possesses well-defined symmetry planes that dictate spin splitting in the three-dimensional Brillouin zone.
    Invoked when stating that surface coincidence with a symmetry plane yields spin-degenerate bands.

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Reference graph

Works this paper leans on

44 extracted references · 3 canonical work pages

  1. [1]

    ˇSmejkal, J

    L. ˇSmejkal, J. Sinova, and T. Jungwirth, Beyond Con- ventional Ferromagnetism and Antiferromagnetism: A Phase with Nonrelativistic Spin and Crystal Rotation Symmetry, Phys. Rev. X12, 031042 (2022)

    2022

  2. [2]

    ˇSmejkal, J

    L. ˇSmejkal, J. Sinova, and T. Jungwirth, Emerging Re- search Landscape of Altermagnetism, Phys. Rev. X12, 040501 (2022)

    2022

  3. [3]

    Takahashi, C

    K. Takahashi, C. R. W. Steward, M. Ogata, R. M. Fer- nandes, and J. Schmalian, Elasto-Hall conductivity and the anomalous Hall effect in altermagnets, Phys. Rev. B 111, 184408 (2025)

    2025

  4. [4]

    ˇSmejkal, R

    L. ˇSmejkal, R. Gonz´ alez-Hern´ andez, T. Jungwirth, and J. Sinova, Crystal time-reversal symmetry breaking and spontaneous hall effect in collinear antiferromagnets, Science Advances6, eaaz8809 (2020), https://www.science.org/doi/pdf/10.1126/sciadv.aaz8809

    work page doi:10.1126/sciadv.aaz8809 2020

  5. [5]

    Attias, A

    L. Attias, A. Levchenko, and M. Khodas, Intrinsic anomalous Hall effect in altermagnets, Phys. Rev. B110, 094425 (2024)

    2024

  6. [6]

    Hoyer, R

    R. Hoyer, R. Jaeschke-Ubiergo, K.-H. Ahn, L. ˇSmejkal, and A. Mook, Spontaneous crystal thermal Hall effect in insulating altermagnets, Phys. Rev. B111, L020412 (2025)

    2025

  7. [7]

    Reichlova, R

    H. Reichlova, R. Lopes Seeger, R. Gonz´ alez-Hern´ andez, I. Kounta, R. Schlitz, D. Kriegner, P. Ritzinger, M. Lammel, M. Leivisk¨ a, A. Birk Hellenes, K. Olejn´ ık, V. Petˇ riˇ cek, P. Doleˇ zal, L. Horak, E. Schmoranzerova, A. Badura, S. Bertaina, A. Thomas, V. Baltz, L. Michez, J. Sinova, S. T. B. Goennenwein, T. Jungwirth, and L. ˇSmejkal, Observation...

    2024

  8. [8]

    L. Bai, W. Feng, S. Liu, L. ˇSmejkal, Y. Mokrousov, and Y. Yao, Altermagnetism: Exploring New Frontiers in Magnetism and Spintronics, Advanced Functional Ma- terials34, 2409327 (2024)

    2024

  9. [9]

    Y. Fang, J. Cano, and S. A. A. Ghorashi, Quantum Ge- ometry Induced Nonlinear Transport in Altermagnets, Physical Review Letters133, 106701 (2024)

    2024

  10. [10]

    D. S. Antonenko, R. M. Fernandes, and J. W. F. Vender- bos, Mirror Chern Bands and Weyl Nodal Loops in Al- termagnets, Physical Review Letters134, 096703 (2025)

    2025

  11. [11]

    Q. Cui, B. Zeng, P. Cui, T. Yu, and H. Yang, Efficient spin Seebeck and spin Nernst effects of magnons in alter- magnets, Phys. Rev. B108, L180401 (2023)

    2023

  12. [12]

    M. Naka, S. Hayami, H. Kusunose, Y. Yanagi, Y. Mo- tome, and H. Seo, Spin current generation in organic an- tiferromagnets, Nature Communications10, 4305 (2019)

    2019

  13. [13]

    Gonz´ alez-Hern´ andez, L.ˇSmejkal, K

    R. Gonz´ alez-Hern´ andez, L.ˇSmejkal, K. V´ yborn´ y, Y. Ya- 6 hagi, J. Sinova, T. c. v. Jungwirth, and J. ˇZelezn´ y, Ef- ficient Electrical Spin Splitter Based on Nonrelativis- tic Collinear Antiferromagnetism, Phys. Rev. Lett.126, 127701 (2021)

    2021

  14. [14]

    Shao, S.-H

    D.-F. Shao, S.-H. Zhang, M. Li, C.-B. Eom, and E. Y. Tsymbal, Spin-neutral currents for spintronics, Nature Communications12, 7061 (2021)

    2021

  15. [15]

    Reimers, L

    S. Reimers, L. Odenbreit, L. ˇSmejkal, V. N. Strocov, P. Constantinou, A. B. Hellenes, R. Jaeschke Ubiergo, W. H. Campos, V. K. Bharadwaj, A. Chakraborty, T. Denneulin, W. Shi, R. E. Dunin-Borkowski, S. Das, M. Kl¨ aui, J. Sinova, and M. Jourdan, Direct observation of altermagnetic band splitting in CrSb thin films, Nature Communications15, 2116 (2024)

    2024

  16. [16]

    J. Ding, Z. Jiang, X. Chen, Z. Tao, Z. Liu, T. Li, J. Liu, J. Sun, J. Cheng, J. Liu, Y. Yang, R. Zhang, L. Deng, W. Jing, Y. Huang, Y. Shi, M. Ye, S. Qiao, Y. Wang, Y. Guo, D. Feng, and D. Shen, Large Band Splitting in g-Wave Altermagnet CrSb, Phys. Rev. Lett.133, 206401 (2024)

    2024

  17. [17]

    Zeng, M.-Y

    M. Zeng, M.-Y. Zhu, Y.-P. Zhu, X.-R. Liu, X.-M. Ma, Y.- J. Hao, P. Liu, G. Qu, Y. Yang, Z. Jiang, K. Yamagami, M. Arita, X. Zhang, T.-H. Shao, Y. Dai, K. Shimada, Z. Liu, M. Ye, Y. Huang, Q. Liu, and C. Liu, Observation of Spin Splitting in Room-Temperature Metallic Antifer- romagnet CrSb, Advanced Science11, 2406529 (2024)

    2024

  18. [18]

    C. Li, M. Hu, Z. Li, Y. Wang, W. Chen, B. Thiagara- jan, M. Leandersson, C. Polley, T. Kim, H. Liu, C. Fulga, M. G. Vergniory, O. Janson, O. Tjernberg, and J. van den Brink, Topological Weyl altermagnetism in CrSb, Com- munications Physics8, 311 (2025)

    2025

  19. [19]

    G. Yang, Z. Li, S. Yang, J. Li, H. Zheng, W. Zhu, Z. Pan, Y. Xu, S. Cao, W. Zhao, A. Jana, J. Zhang, M. Ye, Y. Song, L.-H. Hu, L. Yang, J. Fujii, I. Vobornik, M. Shi, H. Yuan, Y. Zhang, Y. Xu, and Y. Liu, Three- dimensional mapping of the altermagnetic spin splitting in CrSb, Nature Communications16, 1442 (2025)

    2025

  20. [20]

    This implies that the [100] and the [110] direction form an angle of 60 ◦ and are equiva- lent

    Note that we follow the standard definition of the hexag- onal unit cell with the basis vectors in the basal plane having an angle of 120 ◦. This implies that the [100] and the [110] direction form an angle of 60 ◦ and are equiva- lent. We place the cartesianx-axis along [100], they-axis along [120] and thez-axis along [001] and use Miller in- dexes of cr...

  21. [21]

    R. M. Geilhufe and W. Hergert, GTPack: A Mathemat- ica Group Theory Package for Application in Solid-State Physics and Photonics, Frontiers in Physics6, 86 (2018)

    2018

  22. [22]

    Hergert and R

    W. Hergert and R. M. Geilhufe,Group Theory in Solid State Physics and Photonics: Problem Solving with Mathematica(Wiley-VCH, 2018)isbn:978-3-527-41133- 7

    2018

  23. [23]

    C. R. W. Steward, R. M. Fernandes, and J. Schmalian, Dynamic paramagnon-polarons in altermagnets, Phys. Rev. B108, 144418 (2023)

    2023

  24. [24]

    Bhowal and N

    S. Bhowal and N. A. Spaldin, Ferroically Ordered Mag- netic Octupoles ind-Wave Altermagnets, Phys. Rev. X 14, 011019 (2024)

    2024

  25. [25]

    P. A. McClarty and J. G. Rau, Landau Theory of Alter- magnetism, Phys. Rev. Lett.132, 176702 (2024)

    2024

  26. [26]

    Schiff, P

    H. Schiff, P. McClarty, J. G. Rau, and J. Romhanyi, Collinear Altermagnets and their Landau Theories, arXiv preprint arXiv:2412.18025 (2024)

    arXiv 2024

  27. [27]

    D. Jo, D. Go, Y. Mokrousov, P. M. Oppeneer, S.-W. Cheong, and H.-W. Lee, Weak Ferromagnetism in Al- termagnets from Alternatingg-Tensor Anisotropy, Phys. Rev. Lett.134, 196703 (2025)

    2025

  28. [28]

    Autieri, R

    C. Autieri, R. M. Sattigeri, G. Cuono, and A. Fakhre- dine, Staggered Dzyaloshinskii-Moriya interaction induc- ing weak ferromagnetism in centrosymmetric altermag- nets and weak ferrimagnetism in noncentrosymmetric al- termagnets, Physical Review B111, 054442 (2025)

    2025

  29. [29]

    R. M. Fernandes, V. S. de Carvalho, T. Birol, and R. G. Pereira, Topological transition from nodal to nodeless Zeeman splitting in altermagnets, Phys. Rev. B109, 024404 (2024)

    2024

  30. [31]

    Krempask´ y, L

    J. Krempask´ y, L. ˇSmejkal, S. W. D’Souza, M. Ha- jlaoui, G. Springholz, K. Uhl´ ıˇ rov´ a, F. Alarab, P. C. Constantinou, V. Strocov, D. Usanov, W. R. Pudelko, R. Gonz´ alez-Hern´ andez, A. Birk Hellenes, Z. Jansa, H. Reichlov´ a, Z. ˇSob´ aˇ n, R. D. Gonzalez Betancourt, P. Wadley, J. Sinova, D. Kriegner, J. Min´ ar, J. H. Dil, and T. Jungwirth, Alterm...

    2024

  31. [32]

    Osumi, S

    T. Osumi, S. Souma, T. Aoyama, K. Yamauchi, A. Honma, K. Nakayama, T. Takahashi, K. Ohgushi, and T. Sato, Observation of a giant band splitting in alter- magnetic MnTe, Phys. Rev. B109, 115102 (2024)

    2024

  32. [34]

    Korshunov, M

    A. Korshunov, M. Alkorta, C.-Y. Lim, F. Ballester, C. Li, Z. Li, D. Chernyshov, A. Bosak, M. G. Vergniory, I. Errea, and S. Blanco-Canosa, Flat band driven competing charge and spin instabilities in the altermagnet CrSb, arXiv preprint arXiv: 2603.25317 10.48550/arXiv.2603.25317 (2026)

    work page doi:10.48550/arxiv.2603.25317 2026

  33. [35]

    Sorn, Funtionalization ofg-wave altermagnets: spin- splitter effect enabled by surfaces (2026), in preparation

    S. Sorn, Funtionalization ofg-wave altermagnets: spin- splitter effect enabled by surfaces (2026), in preparation. Supplementary Material: Projected altermagnetism by symmetry reduction at surfaces and in thin films Sopheak Sorn, 1, 2 Charanpreet Singh, 3 Lukasz Plucinski, 4 Gustav Bihlmayer,5 Yuriy Mokrousov,5, 6 and Wulf Wulfhekel1, 3 1Institute for Qua...

    2026

  34. [36]

    Therefore, the symmetry analysis proceeds analogously to that for CrSb, and the results are summarized in Table SII

    axis, i.e., y-axis [4]. Therefore, the symmetry analysis proceeds analogously to that for CrSb, and the results are summarized in Table SII. For the cases involving the (010) and the (210) plane, the altermagnetic OPφ=O (3x2−y2)yz,y forms a one-dimensional irreducible rep- 6 TABLE SII. Summary of symmetry analysis for thin fims and surfaces of MnTe (N´ ee...

  35. [37]

    N. W. Ashcroft, N. D. Mermin,et al., Solid state physics (1976)

    1976

  36. [38]

    ˇSmejkal, J

    L. ˇSmejkal, J. Sinova, and T. Jungwirth, Emerging Research Landscape of Altermagnetism, Phys. Rev. X12, 040501 (2022)

    2022

  37. [39]

    Sorn, Funtionalization ofg-wave altermagnets: spin-splitter effect enabled by surfaces (2026), in preparation

    S. Sorn, Funtionalization ofg-wave altermagnets: spin-splitter effect enabled by surfaces (2026), in preparation

    2026

  38. [40]

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

    2024

  39. [41]

    M. Roig, A. Kreisel, Y. Yu, B. M. Andersen, and D. F. Agterberg, Minimal models for altermagnetism, Phys. Rev. B110, 144412 (2024)

    2024

  40. [42]

    T. Cole, S. Coh, and D. Vanderbilt, Python Tight Binding (PythTB) (2025)

    2025

  41. [43]

    Blaha, K

    P. Blaha, K. Schwarz, F. Tran, R. Laskowski, G. K. H. Madsen, and L. D. Marks, WIEN2k: An APW+lo program for calculating the properties of solids, The Journal of Chemical Physics152, 074101 (2020), https://pubs.aip.org/aip/jcp/article- pdf/doi/10.1063/1.5143061/16727313/074101 1 online.pdf

    work page doi:10.1063/1.5143061/16727313/074101 2020

  42. [44]

    C. Li, M. Hu, Z. Li, Y. Wang, W. Chen, B. Thiagarajan, M. Leandersson, C. Polley, T. Kim, H. Liu, C. Fulga, M. G. Vergniory, O. Janson, O. Tjernberg, and J. van den Brink, Topological Weyl altermagnetism in CrSb, Communications Physics8, 311 (2025)

    2025

  43. [45]

    J. Ding, Z. Jiang, X. Chen, Z. Tao, Z. Liu, T. Li, J. Liu, J. Sun, J. Cheng, J. Liu, Y. Yang, 11 R. Zhang, L. Deng, W. Jing, Y. Huang, Y. Shi, M. Ye, S. Qiao, Y. Wang, Y. Guo, D. Feng, and D. Shen, Large Band Splitting ing-Wave Altermagnet CrSb, Phys. Rev. Lett.133, 206401 (2024)

    2024

  44. [46]

    Reimers, L

    S. Reimers, L. Odenbreit, L. ˇSmejkal, V. N. Strocov, P. Constantinou, A. B. Hellenes, R. Jaeschke Ubiergo, W. H. Campos, V. K. Bharadwaj, A. Chakraborty, T. Denneulin, W. Shi, R. E. Dunin-Borkowski, S. Das, M. Kl¨ aui, J. Sinova, and M. Jourdan, Direct observation of altermagnetic band splitting in CrSb thin films, Nature Communications15, 2116 (2024). 12

    2024