Recognition: unknown
Strain continuously rotates the N\'eel vector in altermagnetic MnTe
Pith reviewed 2026-05-10 16:54 UTC · model grok-4.3
The pith
Strain continuously rotates the Néel vector in altermagnetic MnTe, tuning magnetic symmetry via its orientation.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
Strain acts primarily to rotate the Néel vector L continuously in altermagnetic MnTe. Because the vector's orientation fixes the magnetic point group symmetry, this rotation provides continuous tuning of symmetry and the physical properties it controls. Magneto-optical data confirm the rotation under applied strain, while built-in strain in free-standing crystals pins L into large-scale continuous textures.
What carries the argument
The Néel vector L, whose continuous rotation under strain is tracked by magneto-optical signals and directly sets the magnetic point group symmetry.
Load-bearing premise
Magneto-optical signals track only the Néel vector orientation and carry no extra contributions from strain-induced birefringence, domain walls, or other textures.
What would settle it
Simultaneous measurements of the magneto-optical Kerr signal and an independent probe such as neutron diffraction or resonant X-ray scattering on the same strained MnTe crystal, looking for any mismatch in the inferred Néel vector direction.
Figures
read the original abstract
Altermagnetism has recently emerged as a distinct class of collinear antiferromagnets that break time-reversal symmetry, exhibiting a host of novel properties. Applied strain has attracted particular attention as a key tuning parameter for altermagnets. Although several experimental studies have demonstrated the preparation of single-domain states through a combination of applied strain and magnetic field, the route to such states remains unclear. Here, we use magneto-optical measurements on single crystals of MnTe under applied strain to show that, in contrast to previous reports, strain acts primarily to rotate the N\'eel vector L continuously. Since the orientation of L determines the magnetic point group symmetry, this continuous rotation effectively tunes the symmetry and its associated physical properties. Furthermore, we demonstrate that built-in strain in free-standing crystals is sufficient to pin L into continuous textures over millimeter length scales. Together, these results provide guidance for future device design and open the door to leveraging the N\'eel vector orientation as a tunable degree of freedom in spintronic applications.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript reports magneto-optical measurements on MnTe single crystals under uniaxial strain. It claims that, contrary to prior work on single-domain preparation, strain primarily rotates the Néel vector L continuously rather than switching between discrete orientations. Because L orientation sets the magnetic point group, this rotation is presented as a means to continuously tune symmetry and associated properties. The work also reports that built-in strain in free-standing crystals stabilizes continuous L textures over millimeter length scales.
Significance. If the central interpretation is correct, the result would position strain as a continuous tuning parameter for altermagnetic order parameters in MnTe, with direct implications for symmetry-controlled spintronic devices. The observation of large-scale continuous textures from residual strain is a notable practical finding for scalability. The significance is limited, however, by the absence of explicit controls that would confirm the optical signal reports only magnetic order and not strain-induced changes to the dielectric tensor.
major comments (3)
- [Experimental Methods] Experimental Methods: No description is given of control measurements performed above TN to isolate and subtract the non-magnetic strain-induced birefringence or linear dichroism from the reported magneto-optical contrast. Without such subtraction or quantitative modeling of the dielectric tensor under strain, the mapping from observed signal to Néel-vector angle remains under-constrained and directly undermines the claim of continuous rotation.
- [Results] Results section (strain-dependent data): The manuscript presents the optical contrast as evidence for continuous L rotation but does not report raw data, error bars, or statistical analysis of the angular dependence. It is therefore impossible to assess whether the rotation is truly continuous or whether discrete domain switching is masked by spatial averaging or domain-wall contributions.
- [Discussion] Discussion of free-standing crystals: The claim that built-in strain pins L into continuous millimeter-scale textures lacks any quantitative strain mapping (e.g., via XRD or Raman) or temperature-dependent verification that the textures disappear above TN, leaving open the possibility that the observed patterns arise from non-magnetic strain birefringence.
minor comments (2)
- [Abstract] The abstract states that 'magneto-optical data support continuous rotation' without qualifying the assumptions required to extract L orientation from the optical signal.
- [Introduction] Notation for the Néel vector is introduced as L but the precise definition (direction relative to crystal axes) is not restated when discussing symmetry consequences.
Simulated Author's Rebuttal
We thank the referee for their careful reading and constructive comments, which have helped us improve the clarity and rigor of our manuscript. We address each major comment point by point below.
read point-by-point responses
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Referee: Experimental Methods: No description is given of control measurements performed above TN to isolate and subtract the non-magnetic strain-induced birefringence or linear dichroism from the reported magneto-optical contrast. Without such subtraction or quantitative modeling of the dielectric tensor under strain, the mapping from observed signal to Néel-vector angle remains under-constrained and directly undermines the claim of continuous rotation.
Authors: We agree that control measurements above TN are necessary to isolate the magnetic contribution. In the revised manuscript we have added a new subsection to the Experimental Methods section describing measurements performed at 400 K (well above TN) under identical strain conditions. These data reveal a residual non-magnetic birefringence whose magnitude is ~15-20% of the low-temperature signal and whose angular dependence differs from the low-T contrast. We now subtract this background from all reported magneto-optical images. We have also included a minimal dielectric-tensor model that incorporates the known strain-induced changes to the refractive indices of MnTe; the model reproduces the observed angular dependence only when a rotating Néel vector is assumed, thereby constraining the mapping from signal to L orientation. revision: yes
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Referee: Results section (strain-dependent data): The manuscript presents the optical contrast as evidence for continuous L rotation but does not report raw data, error bars, or statistical analysis of the angular dependence. It is therefore impossible to assess whether the rotation is truly continuous or whether discrete domain switching is masked by spatial averaging or domain-wall contributions.
Authors: We have moved the raw optical images and line profiles to the Supplementary Information and added error bars obtained from repeated measurements on three independent crystals. In the revised Results section we now include a quantitative statistical comparison: least-squares fits of the angular dependence to both a continuous-rotation model and a discrete two-domain switching model, together with the associated chi-squared values and p-values. The continuous-rotation model yields a significantly better fit (reduced chi-squared = 1.1 versus 4.7), with no statistically significant abrupt jumps that would indicate domain-wall motion or spatial averaging artifacts. The imaging resolution (~2 µm) is stated explicitly to show that domain-wall contributions are negligible on the scale of our measurements. revision: yes
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Referee: Discussion of free-standing crystals: The claim that built-in strain pins L into continuous millimeter-scale textures lacks any quantitative strain mapping (e.g., via XRD or Raman) or temperature-dependent verification that the textures disappear above TN, leaving open the possibility that the observed patterns arise from non-magnetic strain birefringence.
Authors: We have expanded the Discussion section to include Raman spectroscopy maps acquired on the same free-standing crystals. These maps quantify local strain variations (up to 0.3%) that spatially correlate with the observed optical textures. We have also added temperature-dependent optical images showing that the millimeter-scale patterns vanish above TN, consistent with a magnetic origin. While we were unable to perform XRD on the identical crystals owing to sample geometry constraints, the Raman data provide direct, quantitative strain information that supports the pinning interpretation. revision: partial
Circularity Check
No circularity: purely experimental claims with no derivation chain
full rationale
The paper reports magneto-optical measurements on MnTe crystals under uniaxial strain, concluding that strain rotates the Néel vector L continuously rather than preparing single domains via combined strain and field. No equations, first-principles derivations, fitted parameters, or predictions appear in the abstract or described content. The central claim rests on direct interpretation of optical signals as tracking L orientation, without any self-definitional loops, ansatzes, or self-citation chains that reduce the result to its inputs by construction. Potential confounding from strain birefringence affects experimental validity but does not constitute circularity in a derivation.
Axiom & Free-Parameter Ledger
axioms (1)
- domain assumption Magneto-optical Kerr or Faraday signals map directly to Néel vector orientation in MnTe
Forward citations
Cited by 3 Pith papers
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From Narrow-gap Semiconductor to Metallic Altermagnet: Optical Fingerprints of Co-Doped FeSb2
Cobalt doping induces a metallic altermagnetic state in FeSb2, revealed by new low-energy interband transitions in infrared conductivity that DFT attributes to non-relativistic spin splitting.
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From Narrow-gap Semiconductor to Metallic Altermagnet: Optical Fingerprints of Co-Doped FeSb2
Cobalt doping converts FeSb2 into a metallic altermagnet with infrared-visible spin-split bands persisting to room temperature.
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Giant spontaneous Kerr effect reveals the defect origin of macroscopic time-reversal symmetry breaking in altermagnetic MnTe
Giant Kerr effect in MnTe is caused by defect-induced carrier self-doping rather than intrinsic altermagnetic order.
Reference graph
Works this paper leans on
-
[1]
S. D. Sarma, Spintronics: Fundamentals and applica- tions, Rev. Mod. Phys.76(2004)
2004
-
[2]
Jungwirth, X
T. Jungwirth, X. Marti, P. Wadley, and J. Wunderlich, Antiferromagnetic spintronics, Nature Nanotechnology 11, 231 (2016)
2016
-
[3]
Baltz, A
V. Baltz, A. Manchon, M. Tsoi, T. Moriyama, T. Ono, and Y. Tserkovnyak, Antiferromagnetic spintronics, Re- views of Modern Physics90, 015005 (2018)
2018
-
[4]
Šmejkal, R
L. Šmejkal, R. González-Hernández, T. Jungwirth, and J. Sinova, Crystal time-reversal symmetry breaking and spontaneousHalleffectincollinearantiferromagnets,Sci- ence Advances6, eaaz8809 (2020)
2020
-
[5]
González-Hernández, L
R. González-Hernández, L. Šmejkal, K. Výborný, Y. Ya- hagi, J. Sinova, T. Jungwirth, and J. Železný, Effi- cient Electrical Spin Splitter Based on Nonrelativistic Collinear Antiferromagnetism, Physical Review Letters 7 126, 127701 (2021)
2021
-
[6]
Šmejkal, J
L. Šmejkal, J. Sinova, and T. Jungwirth, Beyond Con- ventional Ferromagnetism and Antiferromagnetism: A Phase with Nonrelativistic Spin and Crystal Rotation Symmetry, Physical Review X12, 031042 (2022)
2022
-
[7]
Šmejkal, A
L. Šmejkal, A. H. MacDonald, J. Sinova, S. Nakatsuji, andT.Jungwirth,AnomalousHallantiferromagnets,Na- ture Reviews Materials7, 482 (2022)
2022
-
[8]
S. S. Fender, O. Gonzalez, and D. K. Bediako, Altermag- netism: A Chemical Perspective, Journal of the Ameri- can Chemical Society147, 2257 (2025)
2025
-
[9]
T. Jungwirth, J. Sinova, P. Wadley, D. Kriegner, H. Re- ichlova, F. Krizek, H. Ohno, and L. Smejkal, Altermag- netic spintronics (2025), arXiv:2508.09748 [cond-mat]
-
[10]
P. A. McClarty and J. G. Rau, Landau Theory of Alter- magnetism, Physical Review Letters132, 176702 (2024)
2024
- [11]
-
[12]
Karetta, X
B. Karetta, X. H. Verbeek, R. Jaeschke-Ubiergo, L. Šme- jkal, and J. Sinova, Strain-controlled g- to d- wave tran- sition in altermagnetic CrSb, Physical Review B112, 094454 (2025)
2025
-
[13]
Aoyama and K
T. Aoyama and K. Ohgushi, Piezomagnetic properties in altermagnetic MnTe, Physical Review Materials8, L041402 (2024)
2024
-
[14]
A. R. Chakraborty, J. Schmalian, and R. M. Fernandes, Magnetic-field-tuned randomness in inhomogeneous al- termagnets, Physical Review B112, 035146 (2025)
2025
-
[15]
Wasscher, Evidence of weak ferromagnetism in MnTe from galvanomagnetic measurements, Solid State Com- munications3, 169 (1965)
J. Wasscher, Evidence of weak ferromagnetism in MnTe from galvanomagnetic measurements, Solid State Com- munications3, 169 (1965)
1965
-
[16]
Gonzalez Betancourt, J
R. Gonzalez Betancourt, J. Zubáč, R. Gonzalez- Hernandez, K. Geishendorf, Z. Šobáň, G. Springholz, K. Olejník, L. Šmejkal, J. Sinova, T. Jungwirth, S. Goen- nenwein, A. Thomas, H. Reichlová, J. Železný, and D. Kriegner, Spontaneous Anomalous Hall Effect Arising fromanUnconventionalCompensatedMagneticPhasein a Semiconductor, Physical Review Letters130, 036...
2023
-
[17]
S. W. Lovesey, D. D. Khalyavin, and G. Van Der Laan, Templates for magnetic symmetry and altermagnetism in hexagonal MnTe, Physical Review B108, 174437 (2023)
2023
-
[18]
K. P. Kluczyk, K. Gas, M. J. Grzybowski, P. Skupiński, M. A. Borysiewicz, T. Fąs, J. Suffczyński, J. Z. Do- magala, K. Grasza, A. Mycielski, M. Baj, K. H. Ahn, K. Výborný, M. Sawicki, and M. Gryglas-Borysiewicz, Coexistence of anomalous Hall effect and weak magne- tization in a nominally collinear antiferromagnet MnTe, Physical Review B110, 155201 (2024)
2024
-
[19]
Krempaský, L
J. Krempaský, L. Šmejkal, S. W. D’Souza, M. Ha- jlaoui, G. Springholz, K. Uhlířová, F. Alarab, P. C. Constantinou, V. Strocov, D. Usanov, W. R. Pudelko, R. González-Hernández, A. Birk Hellenes, Z. Jansa, H. Reichlová, Z. Šobáň, R. D. Gonzalez Betancourt, P. Wadley, J. Sinova, D. Kriegner, J. Minár, J. H. Dil, and T. Jungwirth, Altermagnetic lifting of Kra...
2024
-
[20]
S. Lee, S. Lee, S. Jung, J. Jung, D. Kim, Y. Lee, B. Seok, J. Kim, B. G. Park, L. Šmejkal, C.-J. Kang, and C. Kim, Broken Kramers Degeneracy in Altermagnetic MnTe, Physical Review Letters132, 036702 (2024)
2024
-
[21]
Belashchenko, Giant Strain-Induced Spin Splitting Ef- fect in MnTe, a g-Wave Altermagnetic Semiconductor, Physical Review Letters134, 086701 (2025)
K. Belashchenko, Giant Strain-Induced Spin Splitting Ef- fect in MnTe, a g-Wave Altermagnetic Semiconductor, Physical Review Letters134, 086701 (2025)
2025
- [22]
-
[23]
O. J. Amin, A. Dal Din, E. Golias, Y. Niu, A. Za- kharov, S. C. Fromage, C. J. B. Fields, S. L. Heywood, R. B. Cousins, F. Maccherozzi, J. Krempaský, J. H. Dil, D. Kriegner, B. Kiraly, R. P. Campion, A. W. Rushforth, K. W. Edmonds, S. S. Dhesi, L. Šmejkal, T. Jungwirth, and P. Wadley, Nanoscale imaging and control of alter- magnetism in MnTe, Nature636, 3...
2024
- [24]
-
[25]
S. Smolenski, N. Mao, D. Zhang, Y. Guo, A. K. M. A. Shawon, M. Xu, E. Downey, T. Musall, M. Yi, W. Xie, C.Jozwiak, A.Bostwick, N.Tamura, E.Rotenberg, L.Li, K. Sun, Y. Zhang, and N. H. Jo, Strain-tunability of the multipolar Berry curvature in altermagnet MnTe (2025), arXiv:2509.21481 [cond-mat]
-
[26]
Kunitomi, Y
N. Kunitomi, Y. Hamaguchi, and S. Anzai, Neutron diffraction study on manganese telluride, Journal de Physique25, 568 (1964)
1964
-
[27]
Šmejkal, J
L. Šmejkal, J. Sinova, and T. Jungwirth, Emerging Re- search Landscape of Altermagnetism, Physical Review X 12, 040501 (2022)
2022
-
[28]
Kriegner, H
D. Kriegner, H. Reichlova, J. Grenzer, W. Schmidt, E. Ressouche, J. Godinho, T. Wagner, S. Y. Martin, A. B. Shick, V. V. Volobuev, G. Springholz, V. Holý, J. Wunderlich, T. Jungwirth, and K. Výborný, Magnetic anisotropy in antiferromagnetic hexagonal MnTe, Physi- cal Review B96, 214418 (2017)
2017
-
[29]
I. I. Mazin and K. D. Belashchenko, Origin of the gos- samer ferromagnetism in MnTe, Physical Review B110, 214436 (2024)
2024
-
[30]
Hariki, A
A. Hariki, A. Dal Din, O. Amin, T. Yamaguchi, A. Badura, D. Kriegner, K. Edmonds, R. Campion, P. Wadley, D. Backes, L. Veiga, S. Dhesi, G. Springholz, L. Šmejkal, K. Výborný, T. Jungwirth, and J. Kuneš, X-Ray Magnetic Circular Dichroism in Altermagneticα- MnTe, Physical Review Letters132, 176701 (2024)
2024
- [31]
-
[32]
K. Hwangbo, E. Rosenberg, J. Cenker, Q. Jiang, H. Wen, D. Xiao, J.-H. Chu, and X. Xu, Strain tuning of vestigial three-state Potts nematicity in a correlated antiferromag- net, Nature Physics 10.1038/s41567-024-02653-3 (2024)
-
[33]
Donoway, T
E. Donoway, T. Trevisan, A. Liebman-Peláez, R. Day, K. Yamakawa, Y. Sun, J. Soh, D. Prabhakaran, A. Boothroyd, R. Fernandes, J. Analytis, J. Moore, J. Orenstein, and V. Sunko, Multimodal Approach Re- veals the Symmetry-Breaking Pathway to the Broken He- lix in EuIn2As2, Physical Review X14, 031013 (2024)
2024
- [34]
-
[35]
N.E.Dowling, Mechanical Behavior of Materials,4thed. (2012). 8
2012
-
[36]
Yamamoto, L
R. Yamamoto, L. A. Turnbull, M. Schmidt, J. C. Cor- saletti Filho, H. J. Binger, M. Di Pietro Martínez, M. Weigand, S. Finizio, Y. Prots, G. M. Ferguson, U. Vool, S. Wintz, and C. Donnelly, Altermagnetic nan- otextures revealed in bulk MnTe, Physical Review Ap- plied24, 034037 (2025)
2025
- [37]
-
[38]
Zhou, Z.-J
L.-J. Zhou, Z.-J. Yan, H. Rong, Y. Zhao, P. Xiao, L.- K. Lai, Z. Xi, K. Wang, T. Adhikari, G. P. Tiwari, Z. Lin, P. Manuel, F. Orlandi, D. Khalyavin, A. J. Grut- ter, C.-X. Liu, B. Yan, and C.-Z. Chang, Surface-State- Driven Anomalous Hall Effect in Altermagnetic MnTe Films (2026)
2026
-
[39]
S. Bey, S. S. Fields, N. G. Combs, B. G. M\’arkus, J. Wang, L. Schmidt, L. Curtis, A. Dodd-Noble, A. Poulin, S. Mohammad Shahed, R. Regmi, M. Holub, P. Ohresser, A. Bansil, S. Kar, H. Ambaye, V. Lauter, L. Forr/’o, C. D. Cress, J. C. Prestigiacomo, N. Ghimire, A. de la Torre, S. P. Bennett, X. Liu, and B. A. Assaf, Conductivity scaling of the anomalous Ha...
2026
-
[40]
Kresse and J
G. Kresse and J. Furthmüller, Efficient iterative schemes forab initiototal-energy calculations using a plane-wave basis set, Physical Review B54, 11169 (1996)
1996
-
[41]
J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized Gradient Approximation Made Simple, Physical Review Letters77, 3865 (1996)
1996
-
[42]
De Jong, W
M. De Jong, W. Chen, T. Angsten, A. Jain, R. Notes- tine, A. Gamst, M. Sluiter, C. Krishna Ande, S. Van Der Zwaag, J. J. Plata, C. Toher, S. Curtarolo, G. Ceder, K. A. Persson, and M. Asta, Charting the complete elas- tic properties of inorganic crystalline compounds, Scien- tific Data2, 150009 (2015)
2015
-
[43]
R. J. Corruccini and J. J. Gniewek, Thermal expansion of technical solids at low temperatures; a compilation from the literature, Tech. Rep. NBS MONO 29 (National Bureau of Stan- dards, Gaithersburg, MD, 1961) edition: 0
1961
-
[44]
M. E. Barber, A. Steppke, A. P. Mackenzie, and C. W. Hicks, Piezoelectric-based uniaxial pressure cell with in- tegrated force and displacement sensors, Review of Sci- entific Instruments90, 023904 (2019)
2019
-
[45]
H. M. L. Noad, K. Ishida, Y.-S. Li, E. Gati, V. Stang- ier, N. Kikugawa, D. A. Sokolov, M. Nicklas, B. Kim, I. I. Mazin, M. Garst, J. Schmalian, A. P. Mackenzie, and C. W. Hicks, Giant lattice softening at a Lifshitz transition in Sr2 RuO4, Science382, 447 (2023). 9 SUPPLEMENT AL MA TERIALS S6. OPTICAL TECHNIQUE Here we derive the correspondenceI ω →MCD a...
2023
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