- Open Access
Tuning spin currents in collinear antiferromagnets and altermagnets
Phys. Rev. B 113, 174426 – Published 19 May, 2026
DOI: https://doi.org/10.1103/159t-fq4k
Abstract
Spin-current generation through nonrelativistic spin splittings, found in uncompensated magnets and -wave altermagnets (AMs), is desirable for low-power spintronics. Such spin currents, however, are symmetry forbidden in conventional collinear antiferromagnets and higher-order AMs. Using spin-point-group analysis, we demonstrate that finite spin currents can be induced in these materials via magnetoelectric-, piezomagnetic-, and piezomagnetoelectric-like couplings. We utilize electric fields, strain, and their combinations to drive symmetry-lowering phase transitions into uncompensated magnetic or -wave AM states, thereby enabling finite spin conductivity in a broader class of magnetic materials. We further substantiate this framework using density functional theory and Boltzmann transport calculations on representative magnetic materials—, and —spanning these different cases. The charge-to-spin conversion and spin-splitter ratio reaches up to almost 100% via uncompensated magnetism and about 40% via -wave AM under realistic conditions, highlighting the effectiveness of this approach for efficient spin-current generation.
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References (54)
- I. Žutić, J. Fabian, and S. D. Sarma, Spintronics: Fundamentals and applications, Rev. Mod. Phys. 76, 323 (2004).
- J. E. Hirsch, Spin Hall effect, Phys. Rev. Lett. 83, 1834 (1999).
- M. Dyakonov and V. Perel, Spin relaxation of conduction electrons in noncentrosymmetric semiconductors, Sov. Phys. Solid State Ussr 13, 3023 (1972).
- R. J. Elliott, Theory of the effect of spin-orbit coupling on magnetic resonance in some semiconductors, Phys. Rev. 96, 266 (1954).
- Y. Yafet, factors and spin-lattice relaxation of conduction electrons, Solid State Phys. 14, 1 (1963).
- S. Hayami, Y. Yanagi, and H. Kusunose, Bottom-up design of spin-split and reshaped electronic band structures in antiferromagnets without spin-orbit coupling: Procedure on the basis of augmented multipoles, Phys. Rev. B 102, 144441 (2020).
- L.-D. Yuan, Z. Wang, J.-W. Luo, and A. Zunger, Prediction of low-Z collinear and noncollinear antiferromagnetic compounds having momentum-dependent spin splitting even without spin-orbit coupling, Phys. Rev. Mater. 5, 014409 (2021).
- L. Šmejkal, J. Sinova, and T. Jungwirth, Beyond conventional ferromagnetism and antiferromagnetism: A phase with nonrelativistic spin and crystal rotation symmetry, Phys. Rev. X 12, 031042 (2022).
- S. Sheoran and P. Dev, Spontaneous anomalous Hall effect in two-dimensional altermagnets, Phys. Rev. B 111, 184407 (2025).
- S. Das, D. Suri, and A. Soori, Transport across junctions of altermagnets with normal metals and ferromagnets, J. Phys.: Condens. Matter 35, 435302 (2023).
- J. Železný, H. Gao, A. Manchon, F. Freimuth, Y. Mokrousov, J. Zemen, J. Mašek, J. Sinova, and T. Jungwirth, Spin-orbit torques in locally and globally noncentrosymmetric crystals: Antiferromagnets and ferromagnets, Phys. Rev. B 95, 014403 (2017).
- B. Flebus, Y. Tserkovnyak, and G. A. Fiete, Interfacial spin Seebeck effect in noncollinear magnetic systems, Phys. Rev. B 99, 224410 (2019).
- S.-W. Cheong and F.-T. Huang, Altermagnetism with non-collinear spins, npj Quantum Mater. 9, 13 (2024).
- R. González-Hernández, L. Šmejkal, K. Výborný, Y. Yahagi, J. Sinova, T. Jungwirth, and J. Železný, Efficient electrical spin splitter based on nonrelativistic collinear antiferromagnetism, Phys. Rev. Lett. 126, 127701 (2021).
- H. Vakili, E. Schwartz, and A. A. Kovalev, Spin-transfer torque in altermagnets with magnetic textures, Phys. Rev. Lett. 134, 176401 (2025).
- A. Bose, N. J. Schreiber, R. Jain, D.-F. Shao, H. P. Nair, J. Sun, X. S. Zhang, D. A. Muller, E. Y. Tsymbal, D. G. Schlom, et al., Tilted spin current generated by the collinear antiferromagnet ruthenium dioxide, Nat. Electron. 5, 267 (2022).
- K. D. Belashchenko, Giant strain-induced spin splitting effect in MnTe, a -wave altermagnetic semiconductor, Phys. Rev. Lett. 134, 086701 (2025).
- B. Karetta, X. H. Verbeek, R. Jaeschke-Ubiergo, L. Šmejkal, and J. Sinova, Strain controlled -to -wave transition in altermagnetic CrSb, Phys. Rev. B 112, 094454 (2025).
- L. Šmejkal, Altermagnetic multiferroics and altermagnetoelectric effect, arXiv:2411.19928.
- D. Wang, H. Wang, L. Liu, J. Zhang, and H. Zhang, Electric-field-induced switchable two-dimensional altermagnets, Nano Lett. 25, 498 (2025).
- I. Mazin, R. González-Hernández, and L. Šmejkal, Induced monolayer altermagnetism in MnP (S,Se) and FeSe, arXiv:2309.02355.
- J. Callaway, Quantum Theory of the Solid State, 2nd ed. (Academic Press, San Diego, 1991).
- D. Vanderbilt, Soft self-consistent pseudopotentials in a generalized eigenvalue formalism, Phys. Rev. B 41, 7892 (1990).
- P. Giannozzi, S. Baroni, N. Bonini, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, G. L. Chiarotti, M. Cococcioni, I. Dabo, et al., : A modular and open-source software project for quantumsimulations of materials, J. Phys.: Condens. Matter 21, 395502 (2009).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
- N. Marzari and D. Vanderbilt, Maximally localized generalized Wannier functions for composite energy bands, Phys. Rev. B 56, 12847 (1997).
- A. A. Mostofi, J. R. Yates, Y.-S. Lee, I. Souza, D. Vanderbilt, and N. Marzari, 90: A tool for obtaining maximally-localised Wannier functions, Comput. Phys. Commun. 178, 685 (2008).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/159t-fq4k for band structures, comparison of intraband and interband contributions to spin conductivity and spin conductivity along any arbitrary direction, which also includes Ref. [14].
- H. T. Stokes and D. M. Hatch, : Program for identifying the space-group symmetry of a crystal, J. Appl. Crystallogr. 38, 237 (2005).
- M. I. Aroyo, J. M. Perez-Mato, C. Capillas, E. Kroumova, S. Ivantchev, G. Madariaga, A. Kirov, and H. Wondratschek, Bilbao Crystallographic Server: I. Databases and crystallographic computing programs, Z. Kristallogr.-Cryst. Mater. 221, 15 (2006).
- X. Chen, J. Ren, Y. Zhu, Y. Yu, A. Zhang, P. Liu, J. Li, Y. Liu, C. Li, and Q. Liu, Enumeration and representation theory of spin space groups, Phys. Rev. X 14, 031038 (2024).
- R.-C. Xiao, Y. Jin, Z.-F. Zhang, Z.-H. Feng, D.-F. Shao, and M. Tian, TensorSymmetry: A package to get symmetry-adapted tensors disentangling spin-orbit coupling effect and establishing analytical relationship with magnetic order, Comput. Phys. Commun. 318, 109872 (2026).
- D. B. Litvin and W. Opechowski, Spin groups, Physica 76, 538 (1974).
- A. Cracknell, Symmetry properties of the transport coefficients of magnetic crystals, Phys. Rev. B 7, 2145 (1973).
- W. Chen, M. Gu, J. Li, P. Wang, and Q. Liu, Role of hidden spin polarization in nonreciprocal transport of antiferromagnets, Phys. Rev. Lett. 129, 276601 (2022).
- M. Ezawa, Third-order and fifth-order nonlinear spin-current generation in -wave and -wave altermagnets and perfectly nonreciprocal spin current in -wave magnets, Phys. Rev. B 111, 125420 (2025).
- M. Roig, A. Kreisel, Y. Yu, B. M. Andersen, and D. F. Agterberg, Minimal models for altermagnetism, Phys. Rev. B 110, 144412 (2024).
- E. Galindez-Ruales, R. Gonzalez-Hernandez, C. Schmitt, S. Das, F. Fuhrmann, A. Ross, E. Golias, A. Akashdeep, L. Lünenbürger, E. Baek, et al., Revealing the altermagnetism in hematite via XMCD imaging and anomalous Hall electrical transport, Adv. Mater. 37, e05019 (2025).
- B. Jiang, M. Hu, J. Bai, Z. Song, C. Mu, G. Qu, W. Li, W. Zhu, H. Pi, Z. Wei, et al., A metallic room-temperature -wave altermagnet, Nat. Phys. 21, 754 (2025).
- F. Zhang, X. Cheng, Z. Yin, C. Liu, L. Deng, Y. Qiao, Z. Shi, S. Zhang, J. Lin, Z. Liu, et al., Crystal-symmetry-paired spin-valley locking in a layered room-temperature metallic altermagnet candidate, Nat. Phys. 21, 760 (2025).
- M. Hu, X. Cheng, Z. Huang, and J. Liu, Catalog of -paired spin-momentum locking in antiferromagnetic systems, Phys. Rev. X 15, 021083 (2025).
- M. Milivojević, M. Orozović, S. Picozzi, M. Gmitra, and S. Stavrić, Interplay of altermagnetism and weak ferromagnetism in two-dimensional , 2D Mater. 11, 035025 (2024).
- R. Peng, S. Fang, P. Ho, F. Liu, T. Zhou, J. Liu, and Y. S. Ang, Ferroelastic altermagnetism, npj Quantum Mater. 11, 5 (2025).
- B. B. Krichevtsov, V. V. Pavlov, R. V. Pisarev, and V. N. Gridnev, Magnetoelectric spectroscopy of electronic transitions in antiferromagnetic , Phys. Rev. Lett. 76, 4628 (1996).
- X. H. Verbeek, A. Urru, and N. A. Spaldin, Hidden orders and (anti-) magnetoelectric effects in and , Phys. Rev. Res. 5, L042018 (2023).
- A. L. Wysocki, S. Shi, and K. D. Belashchenko, Microscopic origin of the structural phase transitions at the (0001) surface, Phys. Rev. B 86, 165443 (2012).
- S. Li, Y. Zhang, A. Bahri, X. Zhang, and C. Jia, Altermagnetism and strain induced altermagnetic transition in Cairo pentagonal monolayer, npj Quantum Mater. 10, 83 (2025).
- N. Ding, H. Ye, S.-S. Wang, and S. Dong, Ferroelastically tunable altermagnets, Phys. Rev. B 112, L220410 (2025).
- H. Mavani, K. Huang, K. Samanta, and E. Y. Tsymbal, Two-dimensional antiferromagnets with nonrelativistic spin splitting switchable by electric polarization, Phys. Rev. B 112, L060401 (2025).
- S. Sheoran and S. Bhattacharya, Nonrelativistic spin splittings and altermagnetism in twisted bilayers of centrosymmetric antiferromagnets, Phys. Rev. Mater. 8, L051401 (2024).
- X. Tao, Q. Liu, B. Miao, R. Yu, Z. Feng, L. Sun, B. You, J. Du, K. Chen, S. Zhang, et al., Self-consistent determination of spin Hall angle and spin diffusion length in Pt and Pd: The role of the interface spin loss, Sci. Adv. 4, eaat1670 (2018).
- J. Son, K.-H. Kim, Y. H. Ahn, H.-W. Lee, and J. Lee, Strain engineering of the Berry curvature dipole and valley magnetization in monolayer , Phys. Rev. Lett. 123, 036806 (2019).
- S. Sheoran, M. Jain, R. Moulik, and S. Bhattacharya, Probing the uniaxial strain-dependent valley drift and Berry curvature in monolayer , Phys. Rev. Mater. 7, 114003 (2023).
- Z. Feng, W. Lu, T. Lu, F. Liu, J. R. Sheeran, M. Ye, J. Xia, T. Kurumaji, and L. Ye, Nonvolatile nematic order manipulated by strain and magnetic field in a layered antiferromagnet, arXiv:2507.05486.