{"id":"https://openalex.org/W7207869064","doi":"https://doi.org/10.48550/arxiv.2609.02770","title":"AlterSeeK-Path: Systematic construction of generalized band-structure paths for displaying altermagnetic spin splitting","display_name":"AlterSeeK-Path: Systematic construction of generalized band-structure paths for displaying altermagnetic spin splitting","publication_year":2026,"publication_date":"2026-09-02","ids":{"openalex":"https://openalex.org/W7207869064","doi":"https://doi.org/10.48550/arxiv.2609.02770"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.02770","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.02770","pdf_url":"https://arxiv.org/pdf/2609.02770","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.02770","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109783098","display_name":"Yujia Teng","orcid":"https://orcid.org/0009-0002-0020-3441","observed_orcids":["https://orcid.org/0009-0002-0020-3441"]},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Teng, Yujia","raw_affiliation_strings":["Department of Physics and Astronomy , Center for Materials Theory , Rutgers University , Piscataway , New Jersey , 08854 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy , Center for Materials Theory , Rutgers University , Piscataway , New Jersey , 08854 , USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5118121433","display_name":"Mesfin Eshete","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]},{"id":"https://openalex.org/I4210129636","display_name":"Addis Ababa Science and Technology University","ror":"https://ror.org/02psd9228","country_code":"ET","type":"education","lineage":["https://openalex.org/I4210129636"]}],"countries":["ET","US"],"is_corresponding":false,"raw_author_name":"Eshete, Mesfin","raw_affiliation_strings":["Department of Industrial Chemistry , Addis Ababa Science and Technology University , P.O. Box 16417 , Addis Ababa , Ethiopia","Department of Physics and Astronomy , Center for Materials Theory , Rutgers University , Piscataway , New Jersey , 08854 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Chemistry , Addis Ababa Science and Technology University , P.O. Box 16417 , Addis Ababa , Ethiopia","institution_ids":["https://openalex.org/I4210129636"]},{"raw_affiliation_string":"Department of Physics and Astronomy , Center for Materials Theory , Rutgers University , Piscataway , New Jersey , 08854 , USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075713018","display_name":"Andrea Urru","orcid":"https://orcid.org/0000-0002-5602-3063","observed_orcids":["https://orcid.org/0000-0002-5602-3063"]},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]},{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT","US"],"is_corresponding":false,"raw_author_name":"Urru, Andrea","raw_affiliation_strings":["Department of Physics and Astronomy , Center for Materials Theory , Rutgers University , Piscataway , New Jersey , 08854 , USA","Dipartimento di Fisica , Universit\u00e0 di Cagliari , Cittadella Universitaria , Monserrato , CA , 09042 , Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy , Center for Materials Theory , Rutgers University , Piscataway , New Jersey , 08854 , USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Dipartimento di Fisica , Universit\u00e0 di Cagliari , Cittadella Universitaria , Monserrato , CA , 09042 , Italy","institution_ids":["https://openalex.org/I172446870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5153464680","display_name":"Daniel Seleznev","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]},{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Seleznev, Daniel","raw_affiliation_strings":["Department of Physics , University of Texas at Austin , Austin , Texas , 78712 , USA","Department of Physics and Astronomy , Center for Materials Theory , Rutgers University , Piscataway , New Jersey , 08854 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , University of Texas at Austin , Austin , Texas , 78712 , USA","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"Department of Physics and Astronomy , Center for Materials Theory , Rutgers University , Piscataway , New Jersey , 08854 , USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013432772","display_name":"Se Young Park","orcid":"https://orcid.org/0000-0002-9166-3525","observed_orcids":["https://orcid.org/0000-0002-9166-3525"]},"institutions":[{"id":"https://openalex.org/I141371507","display_name":"Soongsil University","ror":"https://ror.org/017xnm587","country_code":"KR","type":"education","lineage":["https://openalex.org/I141371507"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Park, Se Young","raw_affiliation_strings":["Department of Physics and Origin of Matter and Evolution of Galaxies (OMEG) Institute , Soongsil University , Seoul , 06978 , Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Origin of Matter and Evolution of Galaxies (OMEG) Institute , Soongsil University , Seoul , 06978 , Korea","institution_ids":["https://openalex.org/I141371507"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002883086","display_name":"Sebastian E. Reyes\u2010Lillo","orcid":"https://orcid.org/0000-0003-0012-9958","observed_orcids":["https://orcid.org/0000-0003-0012-9958"]},"institutions":[{"id":"https://openalex.org/I13897259","display_name":"Universidad Andr\u00e9s Bello","ror":"https://ror.org/01qq57711","country_code":"CL","type":"education","lineage":["https://openalex.org/I13897259"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Reyes-Lillo, Sebastian E.","raw_affiliation_strings":["Departamento de F\u00edsica y Astronom\u00eda , Universidad Andres Bello , Santiago , 837-0136 , Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica y Astronom\u00eda , Universidad Andres Bello , Santiago , 837-0136 , Chile","institution_ids":["https://openalex.org/I13897259"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077912053","display_name":"Karin M. Rabe","orcid":"https://orcid.org/0000-0002-7809-7282","observed_orcids":["https://orcid.org/0000-0002-7809-7282"]},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rabe, Karin M.","raw_affiliation_strings":["Department of Physics and Astronomy , Center for Materials Theory , Rutgers University , Piscataway , New Jersey , 08854 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy , Center for Materials Theory , Rutgers University , Piscataway , New Jersey , 08854 , USA","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.5238999724388123,"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":0.5238999724388123,"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/T11682","display_name":"Advanced Condensed Matter Physics","score":0.13269999623298645,"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/T10657","display_name":"Topological Materials and Phenomena","score":0.12070000171661377,"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/altermagnetism","display_name":"altermagnetism","score":0.824999988079071},{"id":"https://openalex.org/keywords/spin-splitting","display_name":"spin splitting","score":0.7390000224113464},{"id":"https://openalex.org/keywords/k-point-sampling","display_name":"k-point sampling","score":0.5709999799728394},{"id":"https://openalex.org/keywords/collinear-magnetism","display_name":"collinear magnetism","score":0.8130000233650208},{"id":"https://openalex.org/keywords/zero-net-magnetization","display_name":"zero net magnetization","score":0.7429999709129333},{"id":"https://openalex.org/keywords/crystal-systems","display_name":"crystal systems","score":0.5649999976158142},{"id":"https://openalex.org/keywords/open-source-python-package","display_name":"open-source Python package","score":0.5379999876022339}],"concepts":[{"id":"https://openalex.org/C203833618","wikidata":"https://www.wikidata.org/wiki/Q865788","display_name":"Bravais lattice","level":3,"score":0.8424999713897705},{"id":"https://openalex.org/C146599234","wikidata":"https://www.wikidata.org/wiki/Q511093","display_name":"Centroid","level":2,"score":0.5440000295639038},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.48559999465942383},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4587000012397766},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.40639999508857727},{"id":"https://openalex.org/C16291881","wikidata":"https://www.wikidata.org/wiki/Q917246","display_name":"Brillouin zone","level":2,"score":0.39820000529289246},{"id":"https://openalex.org/C47422493","wikidata":"https://www.wikidata.org/wiki/Q2755127","display_name":"Wedge (geometry)","level":2,"score":0.39430001378059387},{"id":"https://openalex.org/C125469278","wikidata":"https://www.wikidata.org/wiki/Q806380","display_name":"Electronic band structure","level":2,"score":0.3919999897480011},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.38530001044273376},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3741999864578247},{"id":"https://openalex.org/C142292226","wikidata":"https://www.wikidata.org/wiki/Q13690522","display_name":"Irreducible representation","level":2,"score":0.34869998693466187},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3465000092983246},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.34599998593330383},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.3427000045776367},{"id":"https://openalex.org/C44306375","wikidata":"https://www.wikidata.org/wiki/Q902019","display_name":"Symmetry group","level":2,"score":0.3393000066280365},{"id":"https://openalex.org/C519991488","wikidata":"https://www.wikidata.org/wiki/Q28865","display_name":"Python (programming language)","level":2,"score":0.3280999958515167},{"id":"https://openalex.org/C57796230","wikidata":"https://www.wikidata.org/wiki/Q899720","display_name":"Point group","level":2,"score":0.310699999332428},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.30799999833106995},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.29490000009536743},{"id":"https://openalex.org/C81651864","wikidata":"https://www.wikidata.org/wiki/Q874429","display_name":"Group theory","level":2,"score":0.29350000619888306},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.2856999933719635},{"id":"https://openalex.org/C181966813","wikidata":"https://www.wikidata.org/wiki/Q806352","display_name":"Band gap","level":2,"score":0.28110000491142273},{"id":"https://openalex.org/C37689646","wikidata":"https://www.wikidata.org/wiki/Q4454926","display_name":"Bloch wave","level":2,"score":0.26249998807907104},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2614000141620636},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.25369998812675476}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.02770","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.02770","pdf_url":"https://arxiv.org/pdf/2609.02770","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.02770","doi":"https://doi.org/10.48550/arxiv.2609.02770","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.02770","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.02770","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.02770","pdf_url":"https://arxiv.org/pdf/2609.02770","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1793864902","display_name":null,"funder_award_id":"996588","funder_id":"https://openalex.org/F4320306159","funder_display_name":"W. M. Keck Foundation"},{"id":"https://openalex.org/G187035202","display_name":null,"funder_award_id":"2309000","funder_id":"https://openalex.org/F4320337367","funder_display_name":"Division of Materials Research"},{"id":"https://openalex.org/G2059011935","display_name":"Wisconsin MRSEC","funder_award_id":"2309000","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2595738051","display_name":null,"funder_award_id":"PHY-2210452","funder_id":"https://openalex.org/F4320310042","funder_display_name":"Aspen Center for Physics"},{"id":"https://openalex.org/G2958199312","display_name":null,"funder_award_id":"RS-2024-00358551","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G423236397","display_name":null,"funder_award_id":"N00014-21-1\u20132107","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G6420496198","display_name":null,"funder_award_id":"DMR- 2309000","funder_id":"https://openalex.org/F4320337367","funder_display_name":"Division of Materials Research"},{"id":"https://openalex.org/G7875365370","display_name":"Programs on Critical Problems in Physics, Astrophysics and Biophysics at the Aspen Center for Physics","funder_award_id":"2210452","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306159","display_name":"W. M. Keck Foundation","ror":"https://ror.org/000dswa46"},{"id":"https://openalex.org/F4320306202","display_name":"Gordon and Betty Moore Foundation","ror":"https://ror.org/006wxqw41"},{"id":"https://openalex.org/F4320310042","display_name":"Aspen Center for Physics","ror":"https://ror.org/05gqcbq50"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F4320328359","display_name":"Ministry of Science and ICT, South Korea","ror":"https://ror.org/01wpjm123"},{"id":"https://openalex.org/F4320331146","display_name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo","ror":"https://ror.org/05btm5233"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320337367","display_name":"Division of Materials Research","ror":"https://ror.org/01pc7k308"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7207869064.pdf","grobid_xml":"https://content.openalex.org/works/W7207869064.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1981368803","https://openalex.org/W1992985800","https://openalex.org/W2015197254","https://openalex.org/W2083222334","https://openalex.org/W2337681969","https://openalex.org/W2806275814","https://openalex.org/W3023969750","https://openalex.org/W3042218866","https://openalex.org/W3129006275","https://openalex.org/W3150683473","https://openalex.org/W4297014776","https://openalex.org/W4311892900","https://openalex.org/W4318757076","https://openalex.org/W4389299348","https://openalex.org/W4391249062","https://openalex.org/W4401339223","https://openalex.org/W4401944167","https://openalex.org/W4402127770","https://openalex.org/W4402807663","https://openalex.org/W4403706079","https://openalex.org/W4403714926","https://openalex.org/W4404090273","https://openalex.org/W4404304930","https://openalex.org/W4405031642","https://openalex.org/W4407215885","https://openalex.org/W4407578017","https://openalex.org/W4408374059","https://openalex.org/W4408552337","https://openalex.org/W4410348874","https://openalex.org/W4411598158","https://openalex.org/W4413926300","https://openalex.org/W4414059514","https://openalex.org/W4415164726","https://openalex.org/W7133214642","https://openalex.org/W7134843066","https://openalex.org/W7155517514","https://openalex.org/W7161975037","https://openalex.org/W7164058425","https://openalex.org/W7204909985"],"related_works":["https://openalex.org/W7207719880","https://openalex.org/W2337681969","https://openalex.org/W4417081800","https://openalex.org/W4405566817","https://openalex.org/W1998071551","https://openalex.org/W3046136468","https://openalex.org/W1973873582","https://openalex.org/W4400740332","https://openalex.org/W7222864865","https://openalex.org/W4415957658"],"abstract_inverted_index":{"Altermagnetic":[0],"materials":[1],"exhibit":[2],"spin":[3,33,114],"splitting":[4,22],"in":[5,29,62],"their":[6],"electronic":[7],"band":[8,140,152,164],"structures":[9,141,153],"while":[10],"maintaining":[11],"zero":[12],"net":[13],"magnetization.":[14],"However,":[15],"conventional":[16,58,163],"high-symmetry":[17,87],"k-paths":[18],"generally":[19],"hide":[20],"this":[21],"because":[23],"they":[24],"follow":[25],"symmetry":[26],"lines":[27],"that":[28,42,122],"most":[30],"cases":[31,131],"enforce":[32],"degeneracy.":[34],"We":[35,99],"present":[36],"AlterSeeK-Path,":[37,150],"an":[38],"open-source":[39],"Python":[40],"tool":[41],"systematically":[43,91],"constructs":[44],"generalized":[45],"band-structure":[46,64],"paths":[47],"for":[48,103,127,144],"collinear":[49,124],"altermagnets.":[50],"The":[51],"method":[52],"selects":[53],"the":[54,57,67,85,93,96,101,118,128,133,145,159],"centroid":[55],"of":[56,95,108],"irreducible":[59,97],"wedge":[60],"used":[61],"routine":[63],"calculations":[65],"as":[66,162],"representative":[68],"general":[69],"k-point,":[70],"maps":[71],"it":[72],"to":[73],"a":[74],"spin-flip-related":[75],"partner,":[76],"and":[77,113,126],"inserts":[78],"paired":[79],"segments":[80,90],"through":[81],"these":[82,89,151],"points":[83],"into":[84],"standard":[86],"path;":[88],"sample":[92],"interior":[94],"wedge.":[98],"demonstrate":[100],"construction":[102],"all":[104],"54":[105],"three-dimensional":[106],"combinations":[107],"extended":[109],"Bravais":[110,137],"lattice":[111],"type":[112],"Laue":[115],"group":[116],"across":[117],"six":[119],"crystal":[120],"systems":[121],"support":[123],"altermagnetism,":[125],"12":[129],"two-dimensional":[130,136],"spanning":[132],"four":[134],"compatible":[135],"lattices.":[138],"Representative":[139],"are":[142],"shown":[143],"distinct":[146],"lattice/path":[147],"cases.":[148],"With":[149],"can":[154],"be":[155],"constructed":[156],"with":[157],"essentially":[158],"same":[160],"effort":[161],"structures.":[165]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-04T00:00:00"}