{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,5]],"date-time":"2026-09-05T03:09:04Z","timestamp":1788577744459,"version":"build-2803163510"},"reference-count":45,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T00:00:00Z","timestamp":1774569600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"},{"start":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T00:00:00Z","timestamp":1774569600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"}],"funder":[{"DOI":"10.13039\/100020595","name":"National Science and Technology Council","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100020595","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Sci Rep"],"DOI":"10.1038\/s41598-026-38641-1","type":"journal-article","created":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T10:27:27Z","timestamp":1774607247000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Symmetry driven altermagnetic spin splitting in hexagonal CrTe from first principles"],"prefix":"10.1038","volume":"16","author":[{"given":"Rahul","family":"Singh","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hung-Lung","family":"Huang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Chih-Huang","family":"Lai","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Horng-Tay","family":"Jeng","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2026,3,27]]},"reference":[{"key":"38641_CR1","first-page":"011028","volume":"12","author":"L \u0160mejkal","year":"2022","unstructured":"\u0160mejkal, L. et al. Giant and tunneling magnetoresistance in unconventional collinear antiferromagnets with nonrelativistic Spin-Momentum coupling phys. Rev. X. 12, 011028 (2022).","journal-title":"Rev. X"},{"key":"38641_CR2","doi-asserted-by":"crossref","unstructured":"\u0160mejkal, L. et al. Beyond conventional ferromagnetism and antiferromagnetism: A phase with nonrelativistic spin and crystal rotation symmetry. Phys. Rev. X 12, 031042.","DOI":"10.1103\/PhysRevX.12.031042"},{"issue":"6","key":"38641_CR3","doi-asserted-by":"publisher","first-page":"604","DOI":"10.1021\/acsorginorgau.4c00064","volume":"4","author":"Chao-Chun","year":"2024","unstructured":"Chao-Chun et al. Crystal chemistry and design principles of altermagnets. ACS Org. Inorg. Au. 4 (6), 604\u2013619. https:\/\/doi.org\/10.1021\/acsorginorgau.4c00064 (2024).","journal-title":"ACS Org. Inorg. Au"},{"key":"38641_CR4","doi-asserted-by":"crossref","unstructured":"Benedetta, F. et al. The 2024 magnonics roadmap. J. Phys. Condens. Matter 36 (2024).","DOI":"10.1088\/1361-648X\/ad399c"},{"key":"38641_CR5","doi-asserted-by":"publisher","first-page":"2310379","DOI":"10.1002\/adma.202310379","volume":"36","author":"Hongyu","year":"2024","unstructured":"Hongyu et al. Emerging antiferromagnets for spintronics. Adv. Mater. 36, 2310379 (2024).","journal-title":"Adv. Mater."},{"key":"38641_CR6","doi-asserted-by":"publisher","first-page":"2116","DOI":"10.1038\/s41467-024-46476-5","volume":"15","author":"S Reimers","year":"2024","unstructured":"Reimers, S. et al. Direct observation of altermagnetic band splitting in CrSb thin films. Nat. Commun. 15, 2116. https:\/\/doi.org\/10.1038\/s41467-024-46476-5 (2024).","journal-title":"Nat. Commun."},{"key":"38641_CR7","doi-asserted-by":"publisher","first-page":"1442","DOI":"10.1038\/s41467-025-56647-7","volume":"16","author":"G Yang","year":"2025","unstructured":"Yang, G. et al. Three-dimensional mapping of the altermagnetic spin splitting in CrSb. Nat. Commun. 16, 1442. https:\/\/doi.org\/10.1038\/s41467-025-56647-7 (2025).","journal-title":"Nat. Commun."},{"key":"38641_CR8","doi-asserted-by":"publisher","first-page":"645","DOI":"10.1038\/s41586-024-08436-3","volume":"638","author":"Z Zhou","year":"2025","unstructured":"Zhou, Z. et al. Manipulation of the altermagnetic order in CrSb via crystal symmetry. Nature 638, 645\u2013650. https:\/\/doi.org\/10.1038\/s41586-024-08436-3 (2025).","journal-title":"Nature"},{"key":"38641_CR9","unstructured":"Takahiro et al. High mobility charge transport in a multicarrier altermagnet CrSb. Phys. Rev. Mater. 8, 084412 ."},{"key":"38641_CR10","doi-asserted-by":"publisher","first-page":"042402","DOI":"10.1063\/5.0240434","volume":"126","author":"Yuqing","year":"2025","unstructured":"Yuqing et al. Nonlinear field dependence of hall effect and high-mobility multi-carrier transport in an altermagnet CrSb. Appl. Phys. Lett. 126, 042402 (2025).","journal-title":"Appl. Phys. Lett."},{"key":"38641_CR11","doi-asserted-by":"publisher","first-page":"206401","DOI":"10.1103\/PhysRevLett.133.206401","volume":"133","author":"Jianyang","year":"2024","unstructured":"Jianyang et al. Large band splitting in \ud454-Wave altermagnet CrSb. Rev. Lett. 133, 206401 (2024).","journal-title":"Rev. Lett."},{"key":"38641_CR12","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1038\/s41535-025-00766-3","volume":"10","author":"T Yu","year":"2025","unstructured":"Yu, T. et al. N\u00e9el vector-dependent anomalous transport in altermagnetic metal CrSb. Npj Quantum Mater. 10, 47. https:\/\/doi.org\/10.1038\/s41535-025-00766-3 (2025).","journal-title":"Npj Quantum Mater."},{"key":"38641_CR13","doi-asserted-by":"publisher","first-page":"360","DOI":"10.1134\/S0021364024602926","volume":"120","author":"NN Orlova","year":"2024","unstructured":"Orlova, N. N. et al. Crossover from relativistic to Non-Relativistic net magnetization for MnTe altermagnet candidate. Jetp Lett. 120, 360\u2013366. https:\/\/doi.org\/10.1134\/S0021364024602926 (2024).","journal-title":"Jetp Lett."},{"key":"38641_CR14","doi-asserted-by":"publisher","unstructured":"Suyoung et al. Broken Kramers Degeneracy in Altermagnetic MnTe. https:\/\/doi.org\/10.1103\/PhysRevLett.132.036702.","DOI":"10.1103\/PhysRevLett.132.036702"},{"key":"38641_CR15","doi-asserted-by":"publisher","unstructured":"Aoyama, T., & Ohgushi, K. Piezomagnetic properties in altermagnetic MnTe. https:\/\/doi.org\/10.1103\/PhysRevMaterials.8.L041402.","DOI":"10.1103\/PhysRevMaterials.8.L041402"},{"key":"38641_CR16","doi-asserted-by":"publisher","first-page":"115102","DOI":"10.1103\/PhysRevB.109.115102","volume":"109","author":"T Osumi","year":"2024","unstructured":"Osumi, T. et al. Observation of a giant band splitting in altermagnetic MnTe. Phys. Rev. B. 109, 115102 (2024).","journal-title":"Phys. Rev. B"},{"key":"38641_CR17","doi-asserted-by":"publisher","first-page":"517","DOI":"10.1038\/s41586-023-06907-7","volume":"626","author":"J Krempask\u00fd","year":"2024","unstructured":"Krempask\u00fd, J. et al. Altermagnetic lifting of Kramers spin degeneracy. Nature 626, 517\u2013522. https:\/\/doi.org\/10.1038\/s41586-023-06907-7 (2024).","journal-title":"Nature"},{"key":"38641_CR18","doi-asserted-by":"publisher","first-page":"104407","DOI":"10.1103\/PhysRevMaterials.8.104407","volume":"8","author":"Nayana","year":"2024","unstructured":"Nayana et al. Interplay of altermagnetism and pressure in hexagonal and orthorhombic MnTe. Phys. Rev. Mater. 8, 104407 (2024).","journal-title":"Phys. Rev. Mater."},{"key":"38641_CR19","doi-asserted-by":"publisher","unstructured":"Olena et al. Observation of time-reversal symmetry breaking in the band structure of altermagnetic RuO2. Science 10, eadj4883. https:\/\/doi.org\/10.1126\/sciadv.adj4883 (2024).","DOI":"10.1126\/sciadv.adj4883"},{"key":"38641_CR20","doi-asserted-by":"publisher","unstructured":"Yaqin et al. Direct and inverse spin splitting effects in altermagnetic RuO2. Adv. Sci. https:\/\/doi.org\/10.1002\/advs.202400967.","DOI":"10.1002\/advs.202400967"},{"key":"38641_CR21","doi-asserted-by":"publisher","unstructured":"Song, J. et al. Spin-Orbit coupling driven magnetic response in altermagnetic RuO2. https:\/\/doi.org\/10.1002\/smll.202407722.","DOI":"10.1002\/smll.202407722"},{"key":"38641_CR22","doi-asserted-by":"publisher","unstructured":"Hongyu et al. Spin-Splitting magnetoresistance in altermagnetic RuO2 thin films. Adv. Mater. https:\/\/doi.org\/10.1002\/adma.202507764.","DOI":"10.1002\/adma.202507764"},{"key":"38641_CR23","doi-asserted-by":"crossref","unstructured":"Noh, S. et al. Tunneling magnetoresistance in altermagnetic RuO2-Based magnetic tunnel junctions. Phys. Rev. Lett. 134, 246703 (2025).","DOI":"10.1103\/nrk5-5zrj"},{"key":"38641_CR24","doi-asserted-by":"crossref","unstructured":"Yang, J. et al. Magnetism of two-dimensional chromium tellurides. iScience 26, 106567 (2023).","DOI":"10.1016\/j.isci.2023.106567"},{"key":"38641_CR25","first-page":"0925","volume":"893","author":"Jun","year":"2022","unstructured":"Jun et al. Structure dependent and strain tunable magnetic ordering in ultrathin chromium telluride. J. Alloys Compd. 893, 0925\u20138388 (2022).","journal-title":"J. Alloys Compd."},{"key":"38641_CR26","doi-asserted-by":"crossref","unstructured":"Wang, M. S. et al. Two-dimensional ferromagnetism in CrTe flakes down to atomically thin layers nanoscale 12, 16427 (2020).","DOI":"10.1039\/D0NR04108D"},{"key":"38641_CR27","doi-asserted-by":"publisher","first-page":"102404","DOI":"10.1063\/5.0002118","volume":"116","author":"YK He","year":"2020","unstructured":"He, Y. K. et al. Easy-cone magnetic structure in (Cr0.9B0.1)Te. Appl. Phys. Lett. 116, 102404 (2020).","journal-title":"Appl. Phys. Lett."},{"key":"38641_CR28","doi-asserted-by":"publisher","first-page":"5688","DOI":"10.1038\/s41467-021-26009-0","volume":"12","author":"H Wu","year":"2021","unstructured":"Wu, H. et al. Strong intrinsic room-temperature ferromagnetism in freestanding non-van der Waals ultrathin 2D crystals. Nat. Commun. 12, 5688. https:\/\/doi.org\/10.1038\/s41467-021-26009-0 (2021).","journal-title":"Nat. Commun."},{"key":"38641_CR29","doi-asserted-by":"publisher","first-page":"3763","DOI":"10.1007\/s12274-021-3909-7","volume":"15","author":"Z Gao","year":"2022","unstructured":"Gao, Z. et al. Near room-temperature ferromagnetism in air-stable two-dimensional Cr1\u2013xTe grown by chemical vapor deposition. Nano Res. 15, 3763\u20133769. https:\/\/doi.org\/10.1007\/s12274-021-3909-7 (2022).","journal-title":"Nano Res."},{"key":"38641_CR30","doi-asserted-by":"publisher","unstructured":"Fu-Sheng, L. et al. Electronic transport and magnetic properties of CrTe epitaxial thin films with room temperature ferromagnetism, surfaces and interfaces, 57, 105779, ISSN 2468 \u2013 0230. https:\/\/doi.org\/10.1016\/j.surfin.2025.105779 (2025).","DOI":"10.1016\/j.surfin.2025.105779"},{"key":"38641_CR31","first-page":"305801","volume":"37","author":"Apeksha Gauswami","year":"2025","unstructured":"Apeksha Gauswami & Prafulla, K. J. J. Phys. : Condens. Matter 37 305801 (2025).","journal-title":"J. Phys. : Condens. Matter"},{"key":"38641_CR32","doi-asserted-by":"publisher","first-page":"16533","DOI":"10.1103\/PhysRevB.54.16533","volume":"54","author":"JP Perdew","year":"1996","unstructured":"Perdew, J. P., Burke, K., Wang, Yue & and, Generalized gradient approximation for the exchange-correlation hole of a many-electron system. Phys. Rev. B. 54, 16533 (1996). \u2013 Published 15 December.","journal-title":"Phys. Rev. B"},{"key":"38641_CR33","doi-asserted-by":"publisher","first-page":"17953","DOI":"10.1103\/PhysRevB.50.17953","volume":"50","author":"PE Ochil","year":"1994","unstructured":"Ochil, P. E. Projector augmented-wave method. Phys. Rev. B. 50, 17953 (1994). \u2013 Published 15 December.","journal-title":"Phys. Rev. B"},{"key":"38641_CR34","doi-asserted-by":"publisher","first-page":"3865","DOI":"10.1103\/PhysRevLett.77.3865","volume":"77","author":"JP Perdew","year":"1996","unstructured":"Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865 (1996).","journal-title":"Phys. Rev. Lett."},{"key":"38641_CR35","doi-asserted-by":"publisher","first-page":"11169","DOI":"10.1103\/PhysRevB.54.11169","volume":"54","author":"G Kresse","year":"1996","unstructured":"Kresse, G. & Furthm\u00fcller Efficient iterative schemes for Ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B. 54, 11169 (1996).","journal-title":"Phys. Rev. B"},{"key":"38641_CR36","doi-asserted-by":"publisher","first-page":"18126","DOI":"10.1038\/s41598-025-01814-5","volume":"15","author":"D Lauer","year":"2025","unstructured":"Lauer, D. et al. Optimizing Hubbard U parameters for enhanced description of electronic and magnetic properties in CrI3 monolayers and bilayers. Sci. Rep. 15, 18126. https:\/\/doi.org\/10.1038\/s41598-025-01814-5 (2025).","journal-title":"Sci. Rep."},{"key":"38641_CR37","doi-asserted-by":"publisher","first-page":"108033","DOI":"10.1016\/j.cpc.2021.108033","volume":"267","author":"V Wang","year":"2021","unstructured":"Wang, V., Xu, N., Liu, J. C., Tang, G. & Geng, W. T. VASPKIT: A User-Friendly interface facilitating High-Throughput computing and analysis using VASP code. Comput. Phys. Commun. 267, 108033. https:\/\/doi.org\/10.1016\/j.cpc.2021.108033 (2021).","journal-title":"Comput. Phys. Commun."},{"key":"38641_CR38","doi-asserted-by":"publisher","unstructured":"Guo, Y. et al. A large-scale ab-initio study. Mater. Today Phys. 32, 100991. https:\/\/doi.org\/10.1016\/j.mtphys.2023.100991 (2023).","DOI":"10.1016\/j.mtphys.2023.100991"},{"key":"38641_CR39","first-page":"040501","volume":"12","author":"J Libor \u0160mejkal","year":"2022","unstructured":"Libor \u0160mejkal, J., Sinova & Jungwirth, T. Emerging research landscape of altermagnetism. Phys. Rev. X. 12, 040501 (2022).","journal-title":"Phys. Rev. X"},{"key":"38641_CR40","doi-asserted-by":"publisher","first-page":"38","DOI":"10.1038\/s41535-025-00756-5","volume":"10","author":"SW Cheong","year":"2025","unstructured":"Cheong, S. W. & Huang, F. T. Altermagnetism classification. Npj Quantum Mater. 10, 38. https:\/\/doi.org\/10.1038\/s41535-025-00756-5 (2025).","journal-title":"Npj Quantum Mater."},{"key":"38641_CR41","first-page":"040002","volume":"12","author":"I Mazin","year":"2022","unstructured":"Mazin, I. & The PRX Editors Editorial. Altermagnetism\u2014A new punch line of fundamental magnetism. Phys. Rev. X. 12, 040002 (2022).","journal-title":"Phys. Rev. X"},{"key":"38641_CR42","doi-asserted-by":"publisher","first-page":"17","DOI":"10.3390\/magnetism503001","volume":"5","author":"R Tamang","year":"2025","unstructured":"Tamang, R., Gurung, S., Rai, D. P., Brahimi, S. & Lounis, S. Altermagnetism and altermagnets: A brief review. Magnetism 5, 17. https:\/\/doi.org\/10.3390\/magnetism503001 (2025).","journal-title":"Magnetism"},{"key":"38641_CR43","doi-asserted-by":"crossref","unstructured":"Jungwirth, T. et al. Altermagnetism: An unconventional spin-ordered phase of matter. Newton 1(6), 100162.","DOI":"10.1016\/j.newton.2025.100162"},{"key":"38641_CR44","doi-asserted-by":"publisher","unstructured":"Motohiko & Ezawa Third-order and fifth-order nonlinear spin-current generation in g-wave and i-wave altermagnets and perfectly nonreciprocal spin current in f -wave magnets. https:\/\/doi.org\/10.1103\/PhysRevB.111.125420.","DOI":"10.1103\/PhysRevB.111.125420"},{"key":"38641_CR45","doi-asserted-by":"publisher","first-page":"311","DOI":"10.1038\/s42005-025-02232-9","volume":"8","author":"C Li","year":"2025","unstructured":"Li, C. et al. Topological Weyl altermagnetism in CrSb. Commun. Phys. 8, 311. https:\/\/doi.org\/10.1038\/s42005-025-02232-9 (2025).","journal-title":"Commun. Phys."}],"container-title":["Scientific Reports"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.nature.com\/articles\/s41598-026-38641-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.nature.com\/articles\/s41598-026-38641-1","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.nature.com\/articles\/s41598-026-38641-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T10:27:33Z","timestamp":1774607253000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.nature.com\/articles\/s41598-026-38641-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,3,27]]},"references-count":45,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2026,12]]}},"alternative-id":["38641"],"URL":"https:\/\/doi.org\/10.1038\/s41598-026-38641-1","relation":{},"ISSN":["2045-2322"],"issn-type":[{"value":"2045-2322","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,3,27]]},"assertion":[{"value":"16 December 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 January 2026","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 March 2026","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}}],"article-number":"10458"}}