{"id":"https://openalex.org/W7224745002","doi":"https://doi.org/10.48550/arxiv.2610.39942","title":"Majorana Zero Modes in Fractional Vortices","display_name":"Majorana Zero Modes in Fractional Vortices","publication_year":2026,"publication_date":"2026-10-29","ids":{"openalex":"https://openalex.org/W7224745002","doi":"https://doi.org/10.48550/arxiv.2610.39942"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.39942","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.39942","pdf_url":"https://arxiv.org/pdf/2610.39942","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","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.39942","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090314647","display_name":"Lecheng Fang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fang, Lecheng","raw_affiliation_strings":["School of Physics and Astronomy , Shanghai Jiao Tong University , Shanghai 200240 , China","Tsung-Dao Lee Institute , Shanghai Jiao Tong University , Shanghai 201210 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics and Astronomy , Shanghai Jiao Tong University , Shanghai 200240 , China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Tsung-Dao Lee Institute , Shanghai Jiao Tong University , Shanghai 201210 , China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5160211325","display_name":"Haotian Li","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li, Haotian","raw_affiliation_strings":["School of Physics and Astronomy , Shanghai Jiao Tong University , Shanghai 200240 , China","Tsung-Dao Lee Institute , Shanghai Jiao Tong University , Shanghai 201210 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics and Astronomy , Shanghai Jiao Tong University , Shanghai 200240 , China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Tsung-Dao Lee Institute , Shanghai Jiao Tong University , Shanghai 201210 , China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034706035","display_name":"Haijiao Ji","orcid":"https://orcid.org/0000-0002-9030-0140","observed_orcids":["https://orcid.org/0000-0002-9030-0140"]},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ji, Haijiao","raw_affiliation_strings":["School of Physics and Astronomy , Shanghai Jiao Tong University , Shanghai 200240 , China","Tsung-Dao Lee Institute , Shanghai Jiao Tong University , Shanghai 201210 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics and Astronomy , Shanghai Jiao Tong University , Shanghai 200240 , China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Tsung-Dao Lee Institute , Shanghai Jiao Tong University , Shanghai 201210 , China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5160167541","display_name":"Quanxin Hu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hu, Quanxin","raw_affiliation_strings":["Department of Physics , College of Physical Science and Technology , Xiamen University , Xiamen 361005 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , College of Physical Science and Technology , Xiamen University , Xiamen 361005 , China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5160213446","display_name":"Hong Ding","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ding, Hong","raw_affiliation_strings":["School of Physics and Astronomy , Shanghai Jiao Tong University , Shanghai 200240 , China","Tsung-Dao Lee Institute , Shanghai Jiao Tong University , Shanghai 201210 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics and Astronomy , Shanghai Jiao Tong University , Shanghai 200240 , China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Tsung-Dao Lee Institute , Shanghai Jiao Tong University , Shanghai 201210 , China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5160173217","display_name":"Noah F. Q. Yuan","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuan, Noah F. Q.","raw_affiliation_strings":["School of Physics and Astronomy , Shanghai Jiao Tong University , Shanghai 200240 , China","Tsung-Dao Lee Institute , Shanghai Jiao Tong University , Shanghai 201210 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics and Astronomy , Shanghai Jiao Tong University , Shanghai 200240 , China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Tsung-Dao Lee Institute , Shanghai Jiao Tong University , Shanghai 201210 , China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"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/T10657","display_name":"Topological Materials and Phenomena","score":0.9916999936103821,"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"}},"topics":[{"id":"https://openalex.org/T10657","display_name":"Topological Materials and Phenomena","score":0.9916999936103821,"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/T10037","display_name":"Physics of Superconductivity and Magnetism","score":0.004000000189989805,"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/T10382","display_name":"Quantum and electron transport phenomena","score":0.0008999999845400453,"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/majorana-zero-modes","display_name":"Majorana zero modes","score":1.0},{"id":"https://openalex.org/keywords/fractional-vortices","display_name":"fractional vortices","score":0.9990000128746033},{"id":"https://openalex.org/keywords/topological-superconductors","display_name":"topological superconductors","score":0.8069999814033508},{"id":"https://openalex.org/keywords/iron-based-superconductors","display_name":"iron-based superconductors","score":0.9800000190734863},{"id":"https://openalex.org/keywords/abrikosov-vortices","display_name":"Abrikosov vortices","score":0.9509999752044678},{"id":"https://openalex.org/keywords/topological-protection","display_name":"topological protection","score":0.7480000257492065},{"id":"https://openalex.org/keywords/zero-bias-conductance-peak","display_name":"zero-bias conductance peak","score":0.8569999933242798},{"id":"https://openalex.org/keywords/crossed-andreev-reflection","display_name":"crossed Andreev reflection","score":0.9580000042915344}],"concepts":[{"id":"https://openalex.org/C2778761060","wikidata":"https://www.wikidata.org/wiki/Q6714234","display_name":"MAJORANA","level":3,"score":0.8716999888420105},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8317000269889832},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.720300018787384},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.6851999759674072},{"id":"https://openalex.org/C174084160","wikidata":"https://www.wikidata.org/wiki/Q908049","display_name":"Bound state","level":2,"score":0.6650000214576721},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.5105000138282776},{"id":"https://openalex.org/C120398109","wikidata":"https://www.wikidata.org/wiki/Q175751","display_name":"Quantum tunnelling","level":2,"score":0.4683000147342682},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.4401000142097473},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.41940000653266907},{"id":"https://openalex.org/C2780658932","wikidata":"https://www.wikidata.org/wiki/Q8069598","display_name":"Zero mode","level":2,"score":0.382999986410141},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.37689998745918274},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.36329999566078186},{"id":"https://openalex.org/C68709404","wikidata":"https://www.wikidata.org/wiki/Q1134475","display_name":"Flux (metallurgy)","level":2,"score":0.33550000190734863},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"score":0.32440000772476196},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.3084000051021576},{"id":"https://openalex.org/C121932024","wikidata":"https://www.wikidata.org/wiki/Q5159376","display_name":"Conductance","level":2,"score":0.30079999566078186},{"id":"https://openalex.org/C187483380","wikidata":"https://www.wikidata.org/wiki/Q7825042","display_name":"Topological quantum computer","level":3,"score":0.3001999855041504},{"id":"https://openalex.org/C2779101571","wikidata":"https://www.wikidata.org/wiki/Q1065883","display_name":"Majorana fermion","level":4,"score":0.2971999943256378},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.2921000123023987},{"id":"https://openalex.org/C199793620","wikidata":"https://www.wikidata.org/wiki/Q7825030","display_name":"Topological degeneracy","level":5,"score":0.29109999537467957},{"id":"https://openalex.org/C2780360823","wikidata":"https://www.wikidata.org/wiki/Q4919231","display_name":"Vortex state","level":3,"score":0.2815000116825104},{"id":"https://openalex.org/C53104380","wikidata":"https://www.wikidata.org/wiki/Q4327971","display_name":"Zero-point energy","level":2,"score":0.2784000039100647},{"id":"https://openalex.org/C157479481","wikidata":"https://www.wikidata.org/wiki/Q177831","display_name":"Magnetic flux","level":3,"score":0.26750001311302185},{"id":"https://openalex.org/C77223115","wikidata":"https://www.wikidata.org/wiki/Q634781","display_name":"Topological quantum number","level":2,"score":0.26190000772476196},{"id":"https://openalex.org/C45646460","wikidata":"https://www.wikidata.org/wiki/Q17165159","display_name":"Topological order","level":3,"score":0.25459998846054077},{"id":"https://openalex.org/C39197057","wikidata":"https://www.wikidata.org/wiki/Q2265632","display_name":"Magnetic flux quantum","level":4,"score":0.25270000100135803},{"id":"https://openalex.org/C2777953097","wikidata":"https://www.wikidata.org/wiki/Q7252868","display_name":"Proximity effect (electron beam lithography)","level":5,"score":0.25270000100135803}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.39942","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.39942","pdf_url":"https://arxiv.org/pdf/2610.39942","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.2610.39942","doi":"https://doi.org/10.48550/arxiv.2610.39942","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.39942","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:2610.39942","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.39942","pdf_url":"https://arxiv.org/pdf/2610.39942","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/G1302577128","display_name":null,"funder_award_id":"12504164","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8832149010","display_name":null,"funder_award_id":"92565305","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7224745002.pdf","grobid_xml":"https://content.openalex.org/works/W7224745002.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2936197107","https://openalex.org/W7128911414","https://openalex.org/W2691508698","https://openalex.org/W4309389327","https://openalex.org/W4280643879","https://openalex.org/W4384692936","https://openalex.org/W4321501013","https://openalex.org/W2811511128","https://openalex.org/W2593676211","https://openalex.org/W2909293225"],"abstract_inverted_index":{"Majorana":[0],"zero":[1],"modes":[2],"(MZMs)":[3],"are":[4,51],"promising":[5],"for":[6],"topological":[7,13,45],"quantum":[8],"computation,":[9],"with":[10],"vortices":[11,26,34],"in":[12,27,73],"superconductors":[14,29],"serving":[15],"as":[16],"a":[17],"leading":[18],"platform.":[19],"Recent":[20],"experiments":[21],"show":[22,41],"that":[23,42],"integer":[24],"Abrikosov":[25],"iron-based":[28],"can":[30],"split":[31],"into":[32],"fractional":[33,37],"(FVs)":[35],"carrying":[36],"flux":[38],"quanta.":[39],"We":[40],"due":[43],"to":[44],"protection,":[46],"MZMs":[47],"hosted":[48],"by":[49],"FVs":[50],"spatially":[52],"unfolded":[53],"over":[54],"the":[55],"FV":[56,66],"cores,":[57],"while":[58],"fermionic":[59],"bound":[60],"states":[61],"remain":[62],"localized":[63],"at":[64],"individual":[65],"cores.":[67],"This":[68],"yields":[69],"zero-bias":[70],"conductance":[71],"peaks":[72],"both":[74],"local":[75],"tunneling":[76],"and":[77],"nonlocal":[78],"crossed":[79],"Andreev":[80],"reflection,":[81],"offering":[82],"an":[83],"alternative":[84],"MZM":[85],"signature.":[86]},"counts_by_year":[],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2026-10-31T00:00:00"}