{"id":"https://openalex.org/W3024166017","doi":"https://doi.org/10.1080/01411594.2020.1765349","title":"Quantum Berezinskii\u2013Kosterltz\u2013Thouless transition for topological insulator","display_name":"Quantum Berezinskii\u2013Kosterltz\u2013Thouless transition for topological insulator","publication_year":2020,"publication_date":"2020-05-15","ids":{"openalex":"https://openalex.org/W3024166017","doi":"https://doi.org/10.1080/01411594.2020.1765349","mag":"3024166017"},"language":"en","primary_location":{"id":"doi:10.1080/01411594.2020.1765349","doi":"https://doi.org/10.1080/01411594.2020.1765349","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01411594.2020.1765349","pdf_url":null,"source":{"id":"https://openalex.org/S133935646","display_name":"Phase Transitions","issn_l":"0141-1594","issn":["0141-1594","1026-7700","1029-0338"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Phase Transitions","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://arxiv.org/pdf/1810.01741","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108057062","display_name":"Ranjith Kumar R","orcid":"https://orcid.org/0000-0002-5181-7374","observed_orcids":["https://orcid.org/0000-0002-5181-7374"]},"institutions":[{"id":"https://openalex.org/I164861460","display_name":"Manipal Academy of Higher Education","ror":"https://ror.org/02xzytt36","country_code":"IN","type":"education","lineage":["https://openalex.org/I164861460"]},{"id":"https://openalex.org/I4210097624","display_name":"Poornaprajna Institute of Scientific Research","ror":"https://ror.org/00wyj1j88","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210097624","https://openalex.org/I4210155918"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ranjith Kumar R","raw_affiliation_strings":["Manipal Academy of Higher Education, Manipal, India","Poornaprajna Institute of Scientific Research, Bengaluru, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Manipal Academy of Higher Education, Manipal, India","institution_ids":["https://openalex.org/I164861460"]},{"raw_affiliation_string":"Poornaprajna Institute of Scientific Research, Bengaluru, India","institution_ids":["https://openalex.org/I4210097624"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014358866","display_name":"S Rahul","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I164861460","display_name":"Manipal Academy of Higher Education","ror":"https://ror.org/02xzytt36","country_code":"IN","type":"education","lineage":["https://openalex.org/I164861460"]},{"id":"https://openalex.org/I4210097624","display_name":"Poornaprajna Institute of Scientific Research","ror":"https://ror.org/00wyj1j88","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210097624","https://openalex.org/I4210155918"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rahul S","raw_affiliation_strings":["Manipal Academy of Higher Education, Manipal, India","Poornaprajna Institute of Scientific Research, Bengaluru, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Manipal Academy of Higher Education, Manipal, India","institution_ids":["https://openalex.org/I164861460"]},{"raw_affiliation_string":"Poornaprajna Institute of Scientific Research, Bengaluru, India","institution_ids":["https://openalex.org/I4210097624"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Surya Narayan Sahoo","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I119598438","display_name":"Raman Research Institute","ror":"https://ror.org/01qdav448","country_code":"IN","type":"facility","lineage":["https://openalex.org/I119598438"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Surya Narayan Sahoo","raw_affiliation_strings":["Raman Research Institute, Bengaluru, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Raman Research Institute, Bengaluru, India","institution_ids":["https://openalex.org/I119598438"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101554287","display_name":"Sujit Sarkar","orcid":"https://orcid.org/0000-0002-7754-9371","observed_orcids":["https://orcid.org/0000-0002-7754-9371"]},"institutions":[{"id":"https://openalex.org/I4210097624","display_name":"Poornaprajna Institute of Scientific Research","ror":"https://ror.org/00wyj1j88","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210097624","https://openalex.org/I4210155918"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Sujit Sarkar","raw_affiliation_strings":["Poornaprajna Institute of Scientific Research, Bengaluru, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Poornaprajna Institute of Scientific Research, Bengaluru, India","institution_ids":["https://openalex.org/I4210097624"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101554287"],"corresponding_institution_ids":["https://openalex.org/I4210097624"],"apc_list":null,"apc_paid":null,"fwci":0.6195,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.67872772,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"93","issue":"6","first_page":"606","last_page":"629"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10657","display_name":"Topological Materials and Phenomena","score":0.9746000170707703,"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/T10657","display_name":"Topological Materials and Phenomena","score":0.9746000170707703,"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/T11804","display_name":"Quantum many-body systems","score":0.007600000128149986,"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":0.006500000134110451,"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/helical-luttinger-liquid","display_name":"helical Luttinger liquid","score":0.9290000200271606},{"id":"https://openalex.org/keywords/xyz-spin-chain","display_name":"XYZ spin chain","score":0.722000002861023},{"id":"https://openalex.org/keywords/s-wave-superconductor","display_name":"s-wave superconductor","score":0.8349999785423279},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"magnetic field","score":0.6690000295639038},{"id":"https://openalex.org/keywords/renormalization-group-flow","display_name":"renormalization group flow","score":0.8859999775886536},{"id":"https://openalex.org/keywords/commensurate-incommensurate-transition","display_name":"commensurate-incommensurate transition","score":0.9430000185966492},{"id":"https://openalex.org/keywords/chemical-potential","display_name":"chemical potential","score":0.7390000224113464}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8422999978065491},{"id":"https://openalex.org/C72190298","wikidata":"https://www.wikidata.org/wiki/Q2118253","display_name":"Quantum phase transition","level":3,"score":0.7128000259399414},{"id":"https://openalex.org/C24057170","wikidata":"https://www.wikidata.org/wiki/Q2497305","display_name":"Gapless playback","level":2,"score":0.6796000003814697},{"id":"https://openalex.org/C68532491","wikidata":"https://www.wikidata.org/wiki/Q1203669","display_name":"Renormalization group","level":2,"score":0.6664000153541565},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.6082000136375427},{"id":"https://openalex.org/C197334999","wikidata":"https://www.wikidata.org/wiki/Q1430514","display_name":"Luttinger liquid","level":3,"score":0.5810999870300293},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"score":0.5259000062942505},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.5056999921798706},{"id":"https://openalex.org/C128911142","wikidata":"https://www.wikidata.org/wiki/Q1488689","display_name":"Topological insulator","level":2,"score":0.501800000667572},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.48989999294281006},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.4799000024795532},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.47679999470710754},{"id":"https://openalex.org/C2779101571","wikidata":"https://www.wikidata.org/wiki/Q1065883","display_name":"Majorana fermion","level":4,"score":0.47189998626708984},{"id":"https://openalex.org/C80891386","wikidata":"https://www.wikidata.org/wiki/Q7269084","display_name":"Quantum phases","level":4,"score":0.45910000801086426},{"id":"https://openalex.org/C146366752","wikidata":"https://www.wikidata.org/wiki/Q7269030","display_name":"Quantum critical point","level":4,"score":0.44929999113082886},{"id":"https://openalex.org/C2776605787","wikidata":"https://www.wikidata.org/wiki/Q5186739","display_name":"Critical line","level":2,"score":0.43479999899864197},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.42989999055862427},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.41280001401901245},{"id":"https://openalex.org/C45646460","wikidata":"https://www.wikidata.org/wiki/Q17165159","display_name":"Topological order","level":3,"score":0.39969998598098755},{"id":"https://openalex.org/C2778761060","wikidata":"https://www.wikidata.org/wiki/Q6714234","display_name":"MAJORANA","level":3,"score":0.39890000224113464},{"id":"https://openalex.org/C194807282","wikidata":"https://www.wikidata.org/wiki/Q900634","display_name":"Critical phenomena","level":3,"score":0.39750000834465027},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.3725999891757965},{"id":"https://openalex.org/C29547527","wikidata":"https://www.wikidata.org/wiki/Q5259335","display_name":"Density matrix renormalization group","level":3,"score":0.3714999854564667},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.34929999709129333},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.29989999532699585},{"id":"https://openalex.org/C2777922955","wikidata":"https://www.wikidata.org/wiki/Q4947448","display_name":"Bosonization","level":3,"score":0.29760000109672546},{"id":"https://openalex.org/C108205863","wikidata":"https://www.wikidata.org/wiki/Q1661413","display_name":"Quantum spin liquid","level":4,"score":0.29280000925064087},{"id":"https://openalex.org/C164154869","wikidata":"https://www.wikidata.org/wiki/Q901927","display_name":"Critical exponent","level":3,"score":0.28929999470710754},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.28519999980926514},{"id":"https://openalex.org/C124657808","wikidata":"https://www.wikidata.org/wiki/Q1133068","display_name":"Quantum dot","level":2,"score":0.28130000829696655},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.2777000069618225},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2759999930858612},{"id":"https://openalex.org/C96875836","wikidata":"https://www.wikidata.org/wiki/Q7643350","display_name":"Superfluid film","level":4,"score":0.26910001039505005},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.267300009727478},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.26089999079704285},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.2556999921798706},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.2500999867916107}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/01411594.2020.1765349","doi":"https://doi.org/10.1080/01411594.2020.1765349","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01411594.2020.1765349","pdf_url":null,"source":{"id":"https://openalex.org/S133935646","display_name":"Phase Transitions","issn_l":"0141-1594","issn":["0141-1594","1026-7700","1029-0338"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Phase Transitions","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1810.01741","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1810.01741","pdf_url":"https://arxiv.org/pdf/1810.01741","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":"mag:2895399042","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1810.01741","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1810.01741","doi":"https://doi.org/10.48550/arxiv.1810.01741","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1810.01741","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":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1810.01741","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1810.01741","pdf_url":"https://arxiv.org/pdf/1810.01741","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"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G5991389113","display_name":null,"funder_award_id":"EMR/2017/000898","funder_id":"https://openalex.org/F4320320719","funder_display_name":"Department of Science and Technology, Ministry of Science and Technology, India"}],"funders":[{"id":"https://openalex.org/F4320320719","display_name":"Department of Science and Technology, Ministry of Science and Technology, India","ror":"https://ror.org/0101xrq71"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3024166017.pdf","grobid_xml":"https://content.openalex.org/works/W3024166017.grobid-xml"},"referenced_works_count":58,"referenced_works":["https://openalex.org/W253797028","https://openalex.org/W326669990","https://openalex.org/W592444967","https://openalex.org/W598442978","https://openalex.org/W656370954","https://openalex.org/W934263990","https://openalex.org/W981518731","https://openalex.org/W1485771830","https://openalex.org/W1542921455","https://openalex.org/W1553535237","https://openalex.org/W1562960605","https://openalex.org/W1587153699","https://openalex.org/W1606179079","https://openalex.org/W1624024067","https://openalex.org/W1676019512","https://openalex.org/W1904914631","https://openalex.org/W1969057621","https://openalex.org/W1972944136","https://openalex.org/W1993499159","https://openalex.org/W1994243205","https://openalex.org/W1995809559","https://openalex.org/W2004005781","https://openalex.org/W2008317504","https://openalex.org/W2008822316","https://openalex.org/W2012739772","https://openalex.org/W2014437371","https://openalex.org/W2017955264","https://openalex.org/W2020332193","https://openalex.org/W2023269200","https://openalex.org/W2025311334","https://openalex.org/W2030164271","https://openalex.org/W2043175787","https://openalex.org/W2047016122","https://openalex.org/W2049429327","https://openalex.org/W2052070505","https://openalex.org/W2070931774","https://openalex.org/W2073058492","https://openalex.org/W2079717801","https://openalex.org/W2086860422","https://openalex.org/W2102074887","https://openalex.org/W2105077826","https://openalex.org/W2121644225","https://openalex.org/W2168101857","https://openalex.org/W2169907837","https://openalex.org/W2243334116","https://openalex.org/W2312897363","https://openalex.org/W2417052039","https://openalex.org/W2476907241","https://openalex.org/W2478775407","https://openalex.org/W2491651836","https://openalex.org/W2496063259","https://openalex.org/W2506491643","https://openalex.org/W2766937477","https://openalex.org/W2768016519","https://openalex.org/W3102897980","https://openalex.org/W3104808187","https://openalex.org/W4285719527","https://openalex.org/W4301787874"],"related_works":["https://openalex.org/W2895399042","https://openalex.org/W3169992400","https://openalex.org/W1201038675","https://openalex.org/W3005508349","https://openalex.org/W4410590375","https://openalex.org/W2491651836","https://openalex.org/W4394891819","https://openalex.org/W2989829278","https://openalex.org/W4403049980","https://openalex.org/W2618405694"],"abstract_inverted_index":{"We":[0,45,60,74,95,117],"consider":[1],"the":[2,8,47,56,63,71,77,85,98,129,134,137],"interacting":[3],"helical":[4,102],"liquid":[5,104],"system":[6,135],"at":[7],"one-dimensional":[9],"edge":[10],"of":[11,65,79,100,131],"a":[12,92,107],"two-dimensional":[13],"topological":[14],"insulator,":[15],"coupled":[16],"to":[17,28,139],"an":[18,29],"external":[19],"magnetic":[20],"field":[21],"and":[22,25,53,84,120],"s-wave":[23],"superconductor":[24],"map":[26],"it":[27],"XYZ":[30],"spin":[31],"chain":[32],"system.":[33],"This":[34],"model":[35],"undergoes":[36],"quantum":[37,110,114],"Berezinskii\u2013Kosterlitz\u2013Thouless":[38],"(BKT)":[39],"transition":[40],"with":[41],"two":[42],"limiting":[43],"conditions.":[44],"derive":[46],"renormalization":[48],"group":[49],"(RG)":[50],"equations":[51],"explicitly":[52],"also":[54,61],"present":[55,62],"flow":[57,67],"lines":[58,68],"behavior.":[59],"behavior":[64],"RG":[66],"based":[69],"on":[70],"exact":[72],"solution.":[73],"observe":[75,96],"that":[76,97,122],"physics":[78],"Majorana":[80],"fermion":[81],"zero":[82],"modes":[83],"gaped":[86],"Ising-ferromagnetic":[87],"phase,":[88],"which":[89],"appears":[90],"in":[91],"different":[93],"context.":[94],"evidence":[99],"gapless":[101],"Luttinger":[103],"phase":[105,111],"as":[106],"common":[108],"non-topological":[109],"for":[112],"both":[113],"BKT":[115],"transitions.":[116],"explain":[118],"analytically":[119],"physically":[121],"there":[123],"is":[124],"no":[125],"Majorana-Ising":[126],"transition.":[127,141],"In":[128],"presence":[130],"chemical":[132],"potential,":[133],"shows":[136],"commensurate":[138],"incommensurate":[140]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":4}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2020-05-21T00:00:00"}
