{"id":"https://openalex.org/W7203479687","doi":"https://doi.org/10.1103/97y1-jx9b","title":"Fringe-field-induced spin-orbit angular momentum mixing of twisted electrons","display_name":"Fringe-field-induced spin-orbit angular momentum mixing of twisted electrons","publication_year":2026,"publication_date":"2026-08-14","ids":{"openalex":"https://openalex.org/W7203479687","doi":"https://doi.org/10.1103/97y1-jx9b"},"language":"en","primary_location":{"id":"doi:10.1103/97y1-jx9b","doi":"https://doi.org/10.1103/97y1-jx9b","is_oa":false,"landing_page_url":"https://doi.org/10.1103/97y1-jx9b","pdf_url":null,"source":{"id":"https://openalex.org/S164566984","display_name":"Physical Review A","issn_l":"0556-2791","issn":["0556-2791","1050-2947","1094-1622","1538-4446","2469-9926","2469-9934","2469-9942"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-2","poland-100","poland-70","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 A","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/2607.03002","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5140298170","display_name":"S. V. Gatalina","orcid":"https://orcid.org/0009-0002-5916-386X","observed_orcids":["https://orcid.org/0009-0002-5916-386X"]},"institutions":[{"id":"https://openalex.org/I212220629","display_name":"Peter the Great St. Petersburg Polytechnic University","ror":"https://ror.org/02x91aj62","country_code":"RU","type":"education","lineage":["https://openalex.org/I212220629"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"S. V. Gatalina","raw_affiliation_strings":["Peter the Great St. Petersburg Polytechnic University"],"raw_orcid":"https://orcid.org/0009-0002-5916-386X","affiliations":[{"raw_affiliation_string":"Peter the Great St. Petersburg Polytechnic University","institution_ids":["https://openalex.org/I212220629"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057087561","display_name":"S. S. Baturin","orcid":"https://orcid.org/0000-0002-6911-3797","observed_orcids":["https://orcid.org/0000-0002-6911-3797"]},"institutions":[{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"S. S. Baturin","raw_affiliation_strings":["ITMO University"],"raw_orcid":"https://orcid.org/0000-0002-6911-3797","affiliations":[{"raw_affiliation_string":"ITMO University","institution_ids":["https://openalex.org/I173089394"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2675,"currency":"USD","value_usd":2675},"apc_paid":null,"fwci":1.3112,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.84886031,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"114","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10490","display_name":"Orbital Angular Momentum in Optics","score":0.926800012588501,"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/T10490","display_name":"Orbital Angular Momentum in Optics","score":0.926800012588501,"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/T10566","display_name":"Laser-Matter Interactions and Applications","score":0.008700000122189522,"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":0.007199999876320362,"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/fringing-field","display_name":"fringing field","score":0.6840000152587891},{"id":"https://openalex.org/keywords/angular-momentum-mixing","display_name":"angular momentum mixing","score":0.8100000023841858},{"id":"https://openalex.org/keywords/electron-spin","display_name":"electron spin","score":0.628000020980835},{"id":"https://openalex.org/keywords/orbital-angular-momentum","display_name":"orbital angular momentum","score":0.6710000038146973}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.9674999713897705},{"id":"https://openalex.org/C155675718","wikidata":"https://www.wikidata.org/wiki/Q161254","display_name":"Angular momentum","level":2,"score":0.6523000001907349},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.5961999893188477},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.5486000180244446},{"id":"https://openalex.org/C20782240","wikidata":"https://www.wikidata.org/wiki/Q3272968","display_name":"Angular momentum coupling","level":4,"score":0.44519999623298645},{"id":"https://openalex.org/C45193367","wikidata":"https://www.wikidata.org/wiki/Q1141095","display_name":"Total angular momentum quantum number","level":3,"score":0.4277999997138977},{"id":"https://openalex.org/C184779094","wikidata":"https://www.wikidata.org/wiki/Q26383","display_name":"Atomic physics","level":1,"score":0.4072999954223633},{"id":"https://openalex.org/C150454350","wikidata":"https://www.wikidata.org/wiki/Q1190143","display_name":"Angular momentum operator","level":5,"score":0.36899998784065247},{"id":"https://openalex.org/C9872702","wikidata":"https://www.wikidata.org/wiki/Q4764025","display_name":"Angular momentum of light","level":5,"score":0.3686000108718872},{"id":"https://openalex.org/C60718061","wikidata":"https://www.wikidata.org/wiki/Q1414747","display_name":"Momentum (technical analysis)","level":2,"score":0.3499000072479248},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.3490000069141388},{"id":"https://openalex.org/C173014286","wikidata":"https://www.wikidata.org/wiki/Q606195","display_name":"Orbital angular momentum of light","level":4,"score":0.3165000081062317},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3158999979496002},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2565000057220459},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.2533000111579895}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1103/97y1-jx9b","doi":"https://doi.org/10.1103/97y1-jx9b","is_oa":false,"landing_page_url":"https://doi.org/10.1103/97y1-jx9b","pdf_url":null,"source":{"id":"https://openalex.org/S164566984","display_name":"Physical Review A","issn_l":"0556-2791","issn":["0556-2791","1050-2947","1094-1622","1538-4446","2469-9926","2469-9934","2469-9942"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-2","poland-100","poland-70","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 A","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2607.03002","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.03002","pdf_url":"https://arxiv.org/pdf/2607.03002","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.2607.03002","doi":"https://doi.org/10.48550/arxiv.2607.03002","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.03002","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:2607.03002","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.03002","pdf_url":"https://arxiv.org/pdf/2607.03002","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":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7203479687.pdf","grobid_xml":"https://content.openalex.org/works/W7203479687.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1681215125","https://openalex.org/W1982665337","https://openalex.org/W2000285213","https://openalex.org/W2006354005","https://openalex.org/W2018092614","https://openalex.org/W2054322765","https://openalex.org/W2066858417","https://openalex.org/W2093170222","https://openalex.org/W2240809602","https://openalex.org/W2614839842","https://openalex.org/W2746703235","https://openalex.org/W2911854490","https://openalex.org/W3004333419","https://openalex.org/W3024452129","https://openalex.org/W3108138906","https://openalex.org/W4225422216","https://openalex.org/W4283278215","https://openalex.org/W4372352538","https://openalex.org/W4385303059","https://openalex.org/W4391255459","https://openalex.org/W4393763915","https://openalex.org/W4402898652","https://openalex.org/W4407910762","https://openalex.org/W4410208019","https://openalex.org/W4414436567","https://openalex.org/W4416184688","https://openalex.org/W4417413547","https://openalex.org/W7169779921"],"related_works":["https://openalex.org/W7167747914","https://openalex.org/W210826101","https://openalex.org/W2758257206","https://openalex.org/W6922581670","https://openalex.org/W1649632958","https://openalex.org/W7155120830","https://openalex.org/W2600190617","https://openalex.org/W3214166508","https://openalex.org/W2979019324","https://openalex.org/W3142896636"],"abstract_inverted_index":{"We":[0,165],"study":[1],"spin":[2,127],"effects":[3],"in":[4,34,42,202,219],"twisted-electron":[5],"propagation":[6],"through":[7],"the":[8,21,25,36,45,56,67,72,83,96,119,142,147,150,167,180,184],"entrance":[9],"or":[10],"exit":[11],"region":[12],"of":[13,24,88,118,122,136,146,199,222],"an":[14,105],"axially":[15],"symmetric":[16],"magnetic":[17,204],"coil.":[18],"Starting":[19],"from":[20],"Foldy-Wouthuysen":[22],"reduction":[23],"Dirac":[26],"equation,":[27],"we":[28],"derive":[29,166],"a":[30,50,77,89,132,192,213],"paraxial":[31],"spinor":[32],"equation":[33],"which":[35,70],"longitudinally":[37,73],"varying":[38],"solenoidal":[39,112,207],"field":[40],"produces,":[41],"addition":[43],"to":[44,55,86,153,195],"usual":[46],"diagonal":[47,185],"Zeeman":[48],"term,":[49],"transverse":[51,61,97],"Pauli":[52,98],"coupling":[53],"proportional":[54],"fringe-field":[57],"gradient.":[58],"The":[59,188],"scalar":[60],"dynamics":[62,152],"is":[63,100,129],"treated":[64,101],"exactly":[65],"by":[66,131,179],"Ermakov":[68,181],"mapping,":[69],"absorbs":[71],"dependent":[74],"focusing":[75],"into":[76],"metaplectic":[78],"scaling":[79],"transformation":[80],"and":[81,103,171,183,206,210],"reduces":[82],"orbital":[84,137],"evolution":[85],"that":[87],"stationary":[90],"two-dimensional":[91],"oscillator.":[92],"On":[93],"this":[94],"background,":[95],"term":[99],"perturbatively":[102],"yields":[104],"explicit":[106],"first-order":[107,151],"correction":[108],"for":[109,160],"arbitrary":[110],"realistic":[111,203],"profiles.":[113],"Axial":[114],"symmetry":[115],"implies":[116],"conservation":[117],"total":[120],"projection":[121],"angular":[123,138],"momentum,":[124],"so":[125],"each":[126,161],"flip":[128],"accompanied":[130],"compensating":[133],"one-quantum":[134],"change":[135],"momentum.":[139],"In":[140],"addition,":[141],"linear":[143],"coordinate":[144],"structure":[145],"perturbation":[148],"restricts":[149],"at":[154],"most":[155],"two":[156],"neighboring":[157],"radial":[158],"sidebands":[159],"incoming":[162],"oscillator":[163],"component.":[164],"corresponding":[168],"transition":[169],"amplitudes":[170],"show":[172],"how":[173],"their":[174],"phases":[175],"are":[176],"governed":[177],"jointly":[178],"accumulation":[182],"spin-orbital":[186],"rotation.":[187],"resulting":[189],"framework":[190],"provides":[191],"direct":[193],"way":[194],"quantify":[196],"spin-orbit":[197],"mixing":[198],"twisted":[200],"electrons":[201],"lenses":[205],"beam-line":[208],"elements,":[209],"it":[211],"identifies":[212],"route":[214],"toward":[215],"controlled":[216],"spin-OAM":[217],"conversion":[218],"engineered":[220],"sequences":[221],"magnetic-field":[223],"edges.":[224]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-08-15T00:00:00"}