{"id":"https://openalex.org/W4320918976","doi":"https://doi.org/10.3390/sym15020516","title":"Non-Trivial Band Topology Criteria for Magneto-Spin\u2013Orbit Graphene","display_name":"Non-Trivial Band Topology Criteria for Magneto-Spin\u2013Orbit Graphene","publication_year":2023,"publication_date":"2023-02-15","ids":{"openalex":"https://openalex.org/W4320918976","doi":"https://doi.org/10.3390/sym15020516"},"language":"en","primary_location":{"id":"doi:10.3390/sym15020516","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15020516","pdf_url":"https://www.mdpi.com/2073-8994/15/2/516/pdf?version=1676439627","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/15/2/516/pdf?version=1676439627","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015326557","display_name":"A. V. Eryzhenkov","orcid":"https://orcid.org/0000-0001-7560-5264"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Alexander V. Eryzhenkov","raw_affiliation_strings":["Department of Physics, Saint Petersburg State University, 198504 Saint Petersburg, Russia"],"raw_orcid":"https://orcid.org/0000-0001-7560-5264","affiliations":[{"raw_affiliation_string":"Department of Physics, Saint Petersburg State University, 198504 Saint Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065974941","display_name":"\u0410. \u0412. \u0422\u0430\u0440\u0430\u0441\u043e\u0432","orcid":"https://orcid.org/0000-0002-3628-4856"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Artem V. Tarasov","raw_affiliation_strings":["Department of Physics, Saint Petersburg State University, 198504 Saint Petersburg, Russia"],"raw_orcid":"https://orcid.org/0000-0002-3628-4856","affiliations":[{"raw_affiliation_string":"Department of Physics, Saint Petersburg State University, 198504 Saint Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035129369","display_name":"A. M. Shikin","orcid":"https://orcid.org/0000-0002-2476-1248"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Alexander M. Shikin","raw_affiliation_strings":["Department of Physics, Saint Petersburg State University, 198504 Saint Petersburg, Russia"],"raw_orcid":"https://orcid.org/0000-0002-2476-1248","affiliations":[{"raw_affiliation_string":"Department of Physics, Saint Petersburg State University, 198504 Saint Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074385712","display_name":"\u0410. \u0413. \u0420\u044b\u0431\u043a\u0438\u043d","orcid":"https://orcid.org/0000-0002-8237-4959"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Artem G. Rybkin","raw_affiliation_strings":["Department of Physics, Saint Petersburg State University, 198504 Saint Petersburg, Russia"],"raw_orcid":"https://orcid.org/0000-0002-8237-4959","affiliations":[{"raw_affiliation_string":"Department of Physics, Saint Petersburg State University, 198504 Saint Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5015326557","https://openalex.org/A5035129369"],"corresponding_institution_ids":["https://openalex.org/I172901346"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.6468,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.60257243,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"15","issue":"2","first_page":"516","last_page":"516"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10083","display_name":"Graphene research and applications","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10083","display_name":"Graphene research and applications","score":1.0,"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":1.0,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10382","display_name":"Quantum and electron transport phenomena","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/topology","display_name":"Topology (electrical circuits)","score":0.7174152135848999},{"id":"https://openalex.org/keywords/ferrimagnetism","display_name":"Ferrimagnetism","score":0.6372032165527344},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.6307226419448853},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.6136868000030518},{"id":"https://openalex.org/keywords/spin","display_name":"Spin (aerodynamics)","score":0.5464500188827515},{"id":"https://openalex.org/keywords/electronic-band-structure","display_name":"Electronic band structure","score":0.4691818058490753},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.4653431177139282},{"id":"https://openalex.org/keywords/antiferromagnetism","display_name":"Antiferromagnetism","score":0.4403378963470459},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.42132067680358887},{"id":"https://openalex.org/keywords/graphene","display_name":"Graphene","score":0.41762563586235046},{"id":"https://openalex.org/keywords/magnetization","display_name":"Magnetization","score":0.34036141633987427},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.18810498714447021},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.17841020226478577},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.16892242431640625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.07654011249542236}],"concepts":[{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.7174152135848999},{"id":"https://openalex.org/C779372","wikidata":"https://www.wikidata.org/wiki/Q217121","display_name":"Ferrimagnetism","level":4,"score":0.6372032165527344},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.6307226419448853},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6136868000030518},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.5464500188827515},{"id":"https://openalex.org/C125469278","wikidata":"https://www.wikidata.org/wiki/Q806380","display_name":"Electronic band structure","level":2,"score":0.4691818058490753},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4653431177139282},{"id":"https://openalex.org/C155355069","wikidata":"https://www.wikidata.org/wiki/Q575224","display_name":"Antiferromagnetism","level":2,"score":0.4403378963470459},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.42132067680358887},{"id":"https://openalex.org/C30080830","wikidata":"https://www.wikidata.org/wiki/Q169917","display_name":"Graphene","level":2,"score":0.41762563586235046},{"id":"https://openalex.org/C32546565","wikidata":"https://www.wikidata.org/wiki/Q856711","display_name":"Magnetization","level":3,"score":0.34036141633987427},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.18810498714447021},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.17841020226478577},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.16892242431640625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.07654011249542236},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym15020516","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15020516","pdf_url":"https://www.mdpi.com/2073-8994/15/2/516/pdf?version=1676439627","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:2be65d59fba046d08b90d8102892f03c","is_oa":false,"landing_page_url":"https://doaj.org/article/2be65d59fba046d08b90d8102892f03c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 15, Iss 2, p 516 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/15/2/516/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym15020516","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym15020516","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15020516","pdf_url":"https://www.mdpi.com/2073-8994/15/2/516/pdf?version=1676439627","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7370540571","display_name":null,"funder_award_id":"94031444","funder_id":"https://openalex.org/F4320322515","funder_display_name":"Saint Petersburg State University"}],"funders":[{"id":"https://openalex.org/F4320322515","display_name":"Saint Petersburg State University","ror":"https://ror.org/023znxa73"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4320918976.pdf","grobid_xml":"https://content.openalex.org/works/W4320918976.grobid-xml"},"referenced_works_count":52,"referenced_works":["https://openalex.org/W628572352","https://openalex.org/W1979204592","https://openalex.org/W1982589808","https://openalex.org/W1991834836","https://openalex.org/W1992498800","https://openalex.org/W1993542247","https://openalex.org/W1996605312","https://openalex.org/W2001475022","https://openalex.org/W2002465368","https://openalex.org/W2027059331","https://openalex.org/W2030164271","https://openalex.org/W2033025488","https://openalex.org/W2060223813","https://openalex.org/W2064429046","https://openalex.org/W2073850186","https://openalex.org/W2079652625","https://openalex.org/W2087090334","https://openalex.org/W2101893110","https://openalex.org/W2114259804","https://openalex.org/W2134281086","https://openalex.org/W2270147221","https://openalex.org/W2564032450","https://openalex.org/W2736085864","https://openalex.org/W2740668335","https://openalex.org/W2751603679","https://openalex.org/W2785086479","https://openalex.org/W2803603827","https://openalex.org/W2807812869","https://openalex.org/W2830188699","https://openalex.org/W2891005712","https://openalex.org/W2898449596","https://openalex.org/W2922334809","https://openalex.org/W2948276945","https://openalex.org/W2957262225","https://openalex.org/W2965556856","https://openalex.org/W2990044574","https://openalex.org/W2995753885","https://openalex.org/W3009390820","https://openalex.org/W3012102185","https://openalex.org/W3025389609","https://openalex.org/W3088497728","https://openalex.org/W3098190392","https://openalex.org/W3102468297","https://openalex.org/W3104305778","https://openalex.org/W3106240177","https://openalex.org/W3108636244","https://openalex.org/W3196095006","https://openalex.org/W4206313649","https://openalex.org/W4224256626","https://openalex.org/W4282939465","https://openalex.org/W4294841131","https://openalex.org/W4309680938"],"related_works":["https://openalex.org/W2083315581","https://openalex.org/W108929081","https://openalex.org/W2093730948","https://openalex.org/W620819303","https://openalex.org/W3117257892","https://openalex.org/W2005312656","https://openalex.org/W1482681714","https://openalex.org/W1996157299","https://openalex.org/W2028748372","https://openalex.org/W2085116755"],"abstract_inverted_index":{"Band":[0],"structure":[1],"and":[2,18,31,49,61],"topology":[3],"of":[4,47,57],"magneto-spin\u2013orbit":[5],"graphene":[6],"is":[7,90,110],"investigated":[8],"using":[9],"the":[10,45,58,68,81,100,106,116,125,129,141],"proposed":[11],"tight-binding":[12],"model":[13],"that":[14,67,105],"incorporates":[15],"both":[16],"Rashba":[17,50],"sublattice-resolved":[19],"collinear":[20],"exchange":[21,48],"couplings":[22,51],"in":[23],"a":[24,86,134],"generic":[25],"ferrimagnetic":[26],"(FIM)":[27],"setting":[28],"for":[29,41,77,99],"in-plane":[30,71],"out-of-plane":[32,82,101],"magnetization":[33],"directions.":[34],"The":[35,94],"resulting":[36],"band":[37,88],"structures":[38],"were":[39],"analyzed":[40],"possibilities":[42],"to":[43,92,115,122,140],"extract":[44],"strengths":[46],"from":[52],"experimental":[53],"spin-resolved":[54],"ARPES":[55],"measurements":[56],"valley":[59],"gaps":[60],"\u03c0-state":[62],"spin-splittings.":[63],"It":[64],"was":[65],"shown":[66],"topologically":[69],"trivial":[70],"FIM":[72,102],"situation":[73],"admits":[74,85],"simple":[75],"expressions":[76],"these":[78],"quantities,":[79],"whereas":[80],"FIM,":[83],"which":[84,120],"nontrivial":[87],"topology,":[89],"harder":[91],"analyze.":[93],"obtained":[95],"topological":[96,130],"phase":[97,131],"diagrams":[98],"case":[103],"show":[104],"anomalous":[107],"Hall":[108],"conductance":[109],"quite":[111],"stable":[112],"with":[113,124,138],"respect":[114,139],"antiferromagnetic":[117],"(AFM)":[118],"interaction,":[119],"tends":[121],"interfere":[123],"QAHE":[126],"phase;":[127],"moreover,":[128],"transition":[132],"has":[133],"rather":[135],"smooth":[136],"character":[137],"AFM":[142],"coupling":[143],"strength.":[144]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":5}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
