{"id":"https://openalex.org/W7201859323","doi":"https://doi.org/10.1103/1v68-qwcl","title":"Anatomy of spin-orbit torques in monolayer Fe 3 GeTe 2 and Fe 3 GaTe 2 : Insights from atomistic and momentum-space decompositions","display_name":"Anatomy of spin-orbit torques in monolayer Fe 3 GeTe 2 and Fe 3 GaTe 2 : Insights from atomistic and momentum-space decompositions","publication_year":2026,"publication_date":"2026-10-09","ids":{"openalex":"https://openalex.org/W7201859323","doi":"https://doi.org/10.1103/1v68-qwcl"},"language":"en","primary_location":{"id":"doi:10.1103/1v68-qwcl","doi":"https://doi.org/10.1103/1v68-qwcl","is_oa":false,"landing_page_url":"https://doi.org/10.1103/1v68-qwcl","pdf_url":null,"source":{"id":"https://openalex.org/S4210237713","display_name":"Physical review. B./Physical review. B","issn_l":"2469-9950","issn":["2469-9950","2469-9969","2469-9977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review B","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://epub.uni-regensburg.de/81016/1/1v68-qwcl.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5094150561","display_name":"Gusthavo M. S. Brizolla","orcid":"https://orcid.org/0009-0003-2664-2570","observed_orcids":["https://orcid.org/0009-0003-2664-2570"]},"institutions":[{"id":"https://openalex.org/I60668342","display_name":"University of Regensburg","ror":"https://ror.org/01eezs655","country_code":"DE","type":"education","lineage":["https://openalex.org/I60668342"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gusthavo M. S. Brizolla","raw_affiliation_strings":["University of Regensburg"],"raw_orcid":"https://orcid.org/0009-0003-2664-2570","affiliations":[{"raw_affiliation_string":"University of Regensburg","institution_ids":["https://openalex.org/I60668342"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033191368","display_name":"Stepan S. Tsirkin","orcid":"https://orcid.org/0000-0001-5064-0485","observed_orcids":["https://orcid.org/0000-0001-5064-0485"]},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Stepan S. Tsirkin","raw_affiliation_strings":["\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL)"],"raw_orcid":"https://orcid.org/0000-0001-5064-0485","affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL)","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006511863","display_name":"Yaroslav Zhumagulov","orcid":"https://orcid.org/0000-0002-2541-1100","observed_orcids":["https://orcid.org/0000-0002-2541-1100"]},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Yaroslav Zhumagulov","raw_affiliation_strings":["\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL)"],"raw_orcid":"https://orcid.org/0000-0002-2541-1100","affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL)","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010417859","display_name":"Jaroslav Fabian","orcid":"https://orcid.org/0000-0002-3009-4525","observed_orcids":["https://orcid.org/0000-0002-3009-4525"]},"institutions":[{"id":"https://openalex.org/I60668342","display_name":"University of Regensburg","ror":"https://ror.org/01eezs655","country_code":"DE","type":"education","lineage":["https://openalex.org/I60668342"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jaroslav Fabian","raw_affiliation_strings":["University of Regensburg"],"raw_orcid":"https://orcid.org/0000-0002-3009-4525","affiliations":[{"raw_affiliation_string":"University of Regensburg","institution_ids":["https://openalex.org/I60668342"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.49513747,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"114","issue":"20","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10049","display_name":"Magnetic properties of thin films","score":0.9463000297546387,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10049","display_name":"Magnetic properties of thin films","score":0.9463000297546387,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10275","display_name":"2D Materials and Applications","score":0.02590000070631504,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10657","display_name":"Topological Materials and Phenomena","score":0.007000000216066837,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/spin-orbit-torque","display_name":"spin-orbit torque","score":0.9279999732971191},{"id":"https://openalex.org/keywords/fe3gete2","display_name":"Fe3GeTe2","score":0.9649999737739563},{"id":"https://openalex.org/keywords/fe3gate2","display_name":"Fe3GaTe2","score":1.0},{"id":"https://openalex.org/keywords/two-dimensional-ferromagnets","display_name":"two-dimensional ferromagnets","score":0.8880000114440918},{"id":"https://openalex.org/keywords/current-induced-torque","display_name":"current-induced torque","score":0.7350000143051147},{"id":"https://openalex.org/keywords/spin-polarization","display_name":"spin polarization","score":0.414000004529953},{"id":"https://openalex.org/keywords/p-type-doping","display_name":"p-type doping","score":0.7039999961853027},{"id":"https://openalex.org/keywords/time-reversal-symmetry","display_name":"time-reversal symmetry","score":0.7160000205039978},{"id":"https://openalex.org/keywords/fourth-harmonic","display_name":"fourth harmonic","score":0.4860000014305115},{"id":"https://openalex.org/keywords/van-der-waals-magnets","display_name":"van der Waals magnets","score":0.6449999809265137}],"concepts":[{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.7443000078201294},{"id":"https://openalex.org/C144171764","wikidata":"https://www.wikidata.org/wiki/Q48103","display_name":"Torque","level":2,"score":0.7120000123977661},{"id":"https://openalex.org/C82217956","wikidata":"https://www.wikidata.org/wiki/Q184207","display_name":"Ferromagnetism","level":2,"score":0.6873000264167786},{"id":"https://openalex.org/C126061179","wikidata":"https://www.wikidata.org/wiki/Q189627","display_name":"van der Waals force","level":3,"score":0.5351999998092651},{"id":"https://openalex.org/C7070889","wikidata":"https://www.wikidata.org/wiki/Q902488","display_name":"Monolayer","level":2,"score":0.4717999994754791},{"id":"https://openalex.org/C54553102","wikidata":"https://www.wikidata.org/wiki/Q242657","display_name":"Magnetic moment","level":2,"score":0.4632999897003174},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4244000017642975},{"id":"https://openalex.org/C21690051","wikidata":"https://www.wikidata.org/wiki/Q962347","display_name":"Spin polarization","level":3,"score":0.4156000018119812},{"id":"https://openalex.org/C205049153","wikidata":"https://www.wikidata.org/wiki/Q2698605","display_name":"Polarization (electrochemistry)","level":2,"score":0.4083000123500824},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.3792000114917755},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.3546000123023987},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.310699999332428},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.30709999799728394},{"id":"https://openalex.org/C609986","wikidata":"https://www.wikidata.org/wiki/Q844840","display_name":"Spin-transfer torque","level":4,"score":0.30469998717308044},{"id":"https://openalex.org/C152365726","wikidata":"https://www.wikidata.org/wiki/Q1048589","display_name":"Density functional theory","level":2,"score":0.298799991607666},{"id":"https://openalex.org/C86025842","wikidata":"https://www.wikidata.org/wiki/Q5358432","display_name":"Electronic structure","level":2,"score":0.2768000066280365},{"id":"https://openalex.org/C2779569378","wikidata":"https://www.wikidata.org/wiki/Q25303768","display_name":"Phenomenological model","level":2,"score":0.27230000495910645}],"mesh":[],"locations_count":9,"locations":[{"id":"doi:10.1103/1v68-qwcl","doi":"https://doi.org/10.1103/1v68-qwcl","is_oa":false,"landing_page_url":"https://doi.org/10.1103/1v68-qwcl","pdf_url":null,"source":{"id":"https://openalex.org/S4210237713","display_name":"Physical review. B./Physical review. B","issn_l":"2469-9950","issn":["2469-9950","2469-9969","2469-9977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review B","raw_type":"journal-article"},{"id":"pmh:oai:epub.uni-regensburg.de:81016","doi":null,"is_oa":true,"landing_page_url":"http://orcid.org/0009-0003-2664-2570>,","pdf_url":"https://epub.uni-regensburg.de/81016/1/1v68-qwcl.pdf","source":{"id":"https://openalex.org/S4306401229","display_name":"University of Regensburg Publication Server (University of Regensburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I60668342","host_organization_name":"University of Regensburg","host_organization_lineage":["https://openalex.org/I60668342"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:epub.uni-regensburg.de:80333","doi":null,"is_oa":false,"landing_page_url":"http://orcid.org/0000-0002-3009-4525>","pdf_url":null,"source":{"id":"https://openalex.org/S4306401229","display_name":"University of Regensburg Publication Server (University of Regensburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I60668342","host_organization_name":"University of Regensburg","host_organization_lineage":["https://openalex.org/I60668342"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:arXiv.org:2608.05788","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.05788","pdf_url":"https://arxiv.org/pdf/2608.05788","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:doi:10.5283/epub.80333","doi":null,"is_oa":true,"landing_page_url":"https://epub.uni-regensburg.de/80333/","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"},{"id":"pmh:oai:infoscience.epfl.ch:20.500.14299/268449","doi":null,"is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/268449","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"research article"},{"id":"doi:10.48550/arxiv.2608.05788","doi":"https://doi.org/10.48550/arxiv.2608.05788","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.05788","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5283/epub.80333","doi":"https://doi.org/10.5283/epub.80333","is_oa":true,"landing_page_url":"https://doi.org/10.5283/epub.80333","pdf_url":null,"source":{"id":"https://openalex.org/S4306401229","display_name":"University of Regensburg Publication Server (University of Regensburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I60668342","host_organization_name":"University of Regensburg","host_organization_lineage":["https://openalex.org/I60668342"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.5283/epub.81016","doi":"https://doi.org/10.5283/epub.81016","is_oa":true,"landing_page_url":"https://doi.org/10.5283/epub.81016","pdf_url":null,"source":{"id":"https://openalex.org/S4306401229","display_name":"University of Regensburg Publication Server (University of Regensburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I60668342","host_organization_name":"University of Regensburg","host_organization_lineage":["https://openalex.org/I60668342"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:epub.uni-regensburg.de:81016","doi":null,"is_oa":true,"landing_page_url":"http://orcid.org/0009-0003-2664-2570>,","pdf_url":"https://epub.uni-regensburg.de/81016/1/1v68-qwcl.pdf","source":{"id":"https://openalex.org/S4306401229","display_name":"University of Regensburg Publication Server (University of Regensburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I60668342","host_organization_name":"University of Regensburg","host_organization_lineage":["https://openalex.org/I60668342"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4498736070","display_name":null,"funder_award_id":"101135853","funder_id":"https://openalex.org/F4320317583","funder_display_name":"Graphene Flagship"},{"id":"https://openalex.org/G5777085419","display_name":null,"funder_award_id":"314695032","funder_id":"https://openalex.org/F4320317583","funder_display_name":"Graphene Flagship"},{"id":"https://openalex.org/G7632933219","display_name":"2D Heterostructure Non-volatile Spin Memory Technology","funder_award_id":"101135853","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320317583","display_name":"Graphene Flagship","ror":null},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7201859323.pdf","grobid_xml":"https://content.openalex.org/works/W7201859323.grobid-xml"},"referenced_works_count":61,"referenced_works":["https://openalex.org/W1551262347","https://openalex.org/W1916242203","https://openalex.org/W1964504828","https://openalex.org/W1981368803","https://openalex.org/W1988447199","https://openalex.org/W2010419277","https://openalex.org/W2014987330","https://openalex.org/W2030330123","https://openalex.org/W2033940645","https://openalex.org/W2042473487","https://openalex.org/W2042938036","https://openalex.org/W2048816704","https://openalex.org/W2049079467","https://openalex.org/W2050609789","https://openalex.org/W2053162526","https://openalex.org/W2053469698","https://openalex.org/W2064807075","https://openalex.org/W2086085090","https://openalex.org/W2097261790","https://openalex.org/W2120145199","https://openalex.org/W2120451206","https://openalex.org/W2121448251","https://openalex.org/W2160796815","https://openalex.org/W2164805481","https://openalex.org/W2202499820","https://openalex.org/W2327035589","https://openalex.org/W2371013521","https://openalex.org/W2566076131","https://openalex.org/W2606397457","https://openalex.org/W2609973983","https://openalex.org/W2616854808","https://openalex.org/W2757803490","https://openalex.org/W2767044503","https://openalex.org/W2787226197","https://openalex.org/W2791043349","https://openalex.org/W2793543443","https://openalex.org/W2903828912","https://openalex.org/W2918602639","https://openalex.org/W2927806362","https://openalex.org/W2965920389","https://openalex.org/W2969733367","https://openalex.org/W3016932526","https://openalex.org/W3058488170","https://openalex.org/W3081709130","https://openalex.org/W3092087459","https://openalex.org/W3146264163","https://openalex.org/W3186209516","https://openalex.org/W3214169429","https://openalex.org/W4200358024","https://openalex.org/W4293481089","https://openalex.org/W4308457843","https://openalex.org/W4378650820","https://openalex.org/W4386142577","https://openalex.org/W4387738241","https://openalex.org/W4391931592","https://openalex.org/W4398173926","https://openalex.org/W4399388478","https://openalex.org/W4405892734","https://openalex.org/W4412800013","https://openalex.org/W4414043040","https://openalex.org/W4414631166"],"related_works":["https://openalex.org/W7202190950","https://openalex.org/W4225086707","https://openalex.org/W4387738241","https://openalex.org/W3186209516","https://openalex.org/W6910329287","https://openalex.org/W6966708038","https://openalex.org/W2895259712","https://openalex.org/W2918602639","https://openalex.org/W3153281419","https://openalex.org/W807626640"],"abstract_inverted_index":{"We":[0,41],"present":[1],"a":[2,72,113,190],"systematic":[3],"first-principles":[4],"study":[5],"of":[6,51,75,106,115,158,166,174,185,215],"the":[7,11,21,33,47,52,87,95,104,136,156,164,172,182],"spin-orbit":[8],"torques":[9,137,151,201],"in":[10,124,128,135,152,202],"ferromagnetic":[12],"monolayers":[13],"Fe$_3$GeTe$_2$":[14],"(FGT)":[15],"and":[16,28,100,117,143,154,205,210],"Fe$_3$GaTe$_2$":[17],"(FGaT).":[18],"Despite":[19],"sharing":[20],"same":[22],"crystal":[23],"structure":[24],"(point":[25],"group":[26],"$D_{3h}$)":[27],"predominantly":[29],"Fe~$3d$":[30],"spin-polarized":[31],"bands,":[32],"two":[34],"materials":[35],"exhibit":[36],"markedly":[37],"different":[38],"current-induced":[39,186,200],"torques.":[40],"reveal":[42],"these":[43],"differences":[44],"by":[45,91,112,139,181],"computing":[46],"full":[48],"angular":[49],"dependence":[50],"torkance---the":[53],"torque":[54],"per":[55],"unit":[56],"applied":[57],"electric":[58],"field---using":[59],"linear-response":[60],"theory":[61],"with":[62],"symmetry-adapted":[63],"spin--orbit-coupled":[64],"Wannier":[65],"functions.":[66],"FGaT":[67,153],"may":[68],"be":[69],"viewed":[70],"as":[71],"hole-doped":[73],"analogue":[74],"FGT,":[76],"since":[77],"Ga":[78],"contributes":[79],"one":[80],"valence":[81],"electron":[82],"fewer":[83],"than":[84],"Ge.":[85],"Although":[86],"work":[88],"functions":[89],"differ":[90],"only":[92],"about":[93],"$28$~meV,":[94],"band":[96],"filling":[97],"near":[98],"$K$":[99],"$K'$":[101],"changes":[102,132],"substantially:":[103],"density":[105],"states":[107],"at":[108],"$\\varepsilon_F$":[109],"is":[110],"reduced":[111],"factor":[114],"three":[116],"its":[118,159],"spin":[119,187],"polarization":[120],"reverses":[121],"from":[122],"minority":[123],"FGT":[125],"to":[126,163],"majority":[127],"FGaT.":[129],"These":[130],"electronic":[131],"are":[133,178],"reflected":[134],"resolved":[138],"time-reversal":[140],"parity,":[141],"sublattice,":[142],"momentum.":[144],"In":[145],"particular,":[146],"we":[147,170],"identify":[148],"pronounced":[149],"hidden":[150],"relate":[155],"suppression":[157],"fourth-harmonic":[160],"Fermi-sea":[161],"component":[162],"evolution":[165],"momentum-space":[167],"pockets.":[168],"Finally,":[169],"discuss":[171],"emergence":[173],"such":[175],"self-torques,":[176],"which":[177],"not":[179],"captured":[180],"conventional":[183],"picture":[184],"accumulation,":[188],"within":[189],"symmetry-based":[191],"phenomenological":[192],"framework.":[193],"Our":[194],"results":[195],"provide":[196],"microscopic":[197],"insight":[198],"into":[199],"two-dimensional":[203],"ferromagnets":[204],"offer":[206],"guidance":[207],"for":[208],"defect":[209],"van":[211],"der":[212],"Waals":[213],"engineering":[214],"layered":[216],"magnetic":[217],"materials.":[218]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-08-08T00:00:00"}
