{"id":"https://openalex.org/W4225831746","doi":"https://doi.org/10.3390/quantum4010002","title":"Universal Upper Bound for the Entropy of Superconducting Vortices and the Quantum Nernst Effect","display_name":"Universal Upper Bound for the Entropy of Superconducting Vortices and the Quantum Nernst Effect","publication_year":2021,"publication_date":"2021-12-31","ids":{"openalex":"https://openalex.org/W4225831746","doi":"https://doi.org/10.3390/quantum4010002"},"language":"en","primary_location":{"id":"doi:10.3390/quantum4010002","doi":"https://doi.org/10.3390/quantum4010002","is_oa":true,"landing_page_url":"https://doi.org/10.3390/quantum4010002","pdf_url":"https://www.mdpi.com/2624-960X/4/1/2/pdf?version=1640928436","source":{"id":"https://openalex.org/S4210211996","display_name":"Quantum Reports","issn_l":"2624-960X","issn":["2624-960X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20","russia-white-list-2","vabb-shw"],"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":"Quantum Reports","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2624-960X/4/1/2/pdf?version=1640928436","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052312894","display_name":"M. C. Diamantini","orcid":"https://orcid.org/0000-0002-2164-6711","observed_orcids":["https://orcid.org/0000-0002-2164-6711"]},"institutions":[{"id":"https://openalex.org/I27483092","display_name":"University of Perugia","ror":"https://ror.org/00x27da85","country_code":"IT","type":"education","lineage":["https://openalex.org/I27483092"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Cristina Diamantini","raw_affiliation_strings":["University of Perugia","NiPS Laboratory, INFN and Dipartimento di Fisica e Geologia, University of Perugia, Via A. Pascoli, I-06100 Perugia, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Perugia","institution_ids":["https://openalex.org/I27483092"]},{"raw_affiliation_string":"NiPS Laboratory, INFN and Dipartimento di Fisica e Geologia, University of Perugia, Via A. Pascoli, I-06100 Perugia, Italy","institution_ids":["https://openalex.org/I27483092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108263846","display_name":"Carlo A. Trugenberger","orcid":"https://orcid.org/0009-0007-1137-5376","observed_orcids":["https://orcid.org/0009-0007-1137-5376"]},"institutions":[{"id":"https://openalex.org/I4210160576","display_name":"SwissScientific Technologies (Switzerland)","ror":"https://ror.org/05n1eva55","country_code":"CH","type":"company","lineage":["https://openalex.org/I4210160576"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Carlo Trugenberger","raw_affiliation_strings":["SwissScientific Technologies SA","SwissScientific Technologies SA, rue du Rhone 59, CH-1204 Geneva, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SwissScientific Technologies SA","institution_ids":["https://openalex.org/I4210160576"]},{"raw_affiliation_string":"SwissScientific Technologies SA, rue du Rhone 59, CH-1204 Geneva, Switzerland","institution_ids":["https://openalex.org/I4210160576"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110580541","display_name":"V. M. Vinokur","orcid":"https://orcid.org/0000-0002-0977-3515","observed_orcids":["https://orcid.org/0000-0002-0977-3515"]},"institutions":[{"id":"https://openalex.org/I125687163","display_name":"City College of New York","ror":"https://ror.org/00wmhkr98","country_code":"US","type":"education","lineage":["https://openalex.org/I125687163"]},{"id":"https://openalex.org/I4210121585","display_name":"Terra Quantum (Switzerland)","ror":"https://ror.org/02y8r3w10","country_code":"CH","type":"company","lineage":["https://openalex.org/I4210121585"]}],"countries":["CH","US"],"is_corresponding":true,"raw_author_name":"Valerii Vinokur","raw_affiliation_strings":["Terra Quantum AG","School of Physics, City College of New York, 160 Convent Ave, New York, NY 10031, USA","Terra Quantum AG, St. Gallerstrasse 16A, CH-9400 Rorschach, Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-0977-3515","affiliations":[{"raw_affiliation_string":"Terra Quantum AG","institution_ids":["https://openalex.org/I4210121585"]},{"raw_affiliation_string":"School of Physics, City College of New York, 160 Convent Ave, New York, NY 10031, USA","institution_ids":["https://openalex.org/I125687163"]},{"raw_affiliation_string":"Terra Quantum AG, St. Gallerstrasse 16A, CH-9400 Rorschach, Switzerland","institution_ids":["https://openalex.org/I4210121585"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5110580541"],"corresponding_institution_ids":["https://openalex.org/I125687163","https://openalex.org/I4210121585"],"apc_list":{"value":1200,"currency":"CHF","value_usd":1296},"apc_paid":{"value":1200,"currency":"CHF","value_usd":1296},"fwci":0.1035,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.37459252,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"4","issue":"1","first_page":"16","last_page":"21"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10037","display_name":"Physics of Superconductivity and Magnetism","score":0.9932000041007996,"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/T10037","display_name":"Physics of Superconductivity and Magnetism","score":0.9932000041007996,"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":0.002400000113993883,"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/T11965","display_name":"Quantum, superfluid, helium dynamics","score":0.00039999998989515007,"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/superconducting-vortices","display_name":"superconducting vortices","score":0.8960000276565552},{"id":"https://openalex.org/keywords/entropy-upper-bound","display_name":"entropy upper bound","score":0.8669999837875366},{"id":"https://openalex.org/keywords/superconducting-layers","display_name":"superconducting layers","score":0.5360000133514404},{"id":"https://openalex.org/keywords/external-magnetic-field","display_name":"external magnetic field","score":0.6639999747276306},{"id":"https://openalex.org/keywords/quantum-thermodynamics","display_name":"quantum thermodynamics","score":0.4350000023841858}],"concepts":[{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.7557793855667114},{"id":"https://openalex.org/C184501600","wikidata":"https://www.wikidata.org/wiki/Q751124","display_name":"Nernst equation","level":3,"score":0.7522536516189575},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.7093324661254883},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.6954101920127869},{"id":"https://openalex.org/C90002209","wikidata":"https://www.wikidata.org/wiki/Q19494","display_name":"Nernst effect","level":4,"score":0.5923149585723877},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5662848949432373},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5234779119491577},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.49119898676872253},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4577862024307251},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.4194166362285614},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.419140100479126},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3667137622833252},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17276516556739807},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.14139476418495178},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05105969309806824},{"id":"https://openalex.org/C17525397","wikidata":"https://www.wikidata.org/wiki/Q176140","display_name":"Electrode","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/quantum4010002","doi":"https://doi.org/10.3390/quantum4010002","is_oa":true,"landing_page_url":"https://doi.org/10.3390/quantum4010002","pdf_url":"https://www.mdpi.com/2624-960X/4/1/2/pdf?version=1640928436","source":{"id":"https://openalex.org/S4210211996","display_name":"Quantum Reports","issn_l":"2624-960X","issn":["2624-960X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20","russia-white-list-2","vabb-shw"],"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":"Quantum Reports","raw_type":"journal-article"},{"id":"doi:10.21203/rs.3.rs-789810/v1","doi":"https://doi.org/10.21203/rs.3.rs-789810/v1","is_oa":true,"landing_page_url":"https://doi.org/10.21203/rs.3.rs-789810/v1","pdf_url":"https://www.researchsquare.com/article/rs-789810/latest.pdf","source":{"id":"https://openalex.org/S4306525896","display_name":"Research Square","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Research Square","raw_type":"posted-content"},{"id":"pmh:oai:doaj.org/article:47c05b75328e4171bb62c537227bf5e3","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/47c05b75328e4171bb62c537227bf5e3","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,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum Reports, Vol 4, Iss 1, Pp 16-21 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/quantum4010002","doi":"https://doi.org/10.3390/quantum4010002","is_oa":true,"landing_page_url":"https://doi.org/10.3390/quantum4010002","pdf_url":"https://www.mdpi.com/2624-960X/4/1/2/pdf?version=1640928436","source":{"id":"https://openalex.org/S4210211996","display_name":"Quantum Reports","issn_l":"2624-960X","issn":["2624-960X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20","russia-white-list-2","vabb-shw"],"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":"Quantum Reports","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4689491632","display_name":"NSF BSF: Transport, Fluctuation, and Nonequilibrium Phase Transition in Atomically Thin Crystalline Van der Waals Superconductors","funder_award_id":"1809188","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/F4320313559","display_name":"CERN","ror":"https://ror.org/01ggx4157"},{"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/W4225831746.pdf","grobid_xml":"https://content.openalex.org/works/W4225831746.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1577508603","https://openalex.org/W1967384933","https://openalex.org/W1978568739","https://openalex.org/W1996732604","https://openalex.org/W2012219366","https://openalex.org/W2019662214","https://openalex.org/W2075485937","https://openalex.org/W2081139057","https://openalex.org/W2154859091","https://openalex.org/W2170306050","https://openalex.org/W2256055771","https://openalex.org/W2795194202","https://openalex.org/W3039140088","https://openalex.org/W3175661293","https://openalex.org/W4206688401","https://openalex.org/W4233798822"],"related_works":["https://openalex.org/W2032397601","https://openalex.org/W1964607957","https://openalex.org/W2953416267","https://openalex.org/W2326151419","https://openalex.org/W2884866478","https://openalex.org/W2014413668","https://openalex.org/W2151796371","https://openalex.org/W1972990167","https://openalex.org/W4387124301","https://openalex.org/W2024360462"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"show":[2],"that":[3],"the":[4,20,33,40,47,57],"entropy":[5],"per":[6,9],"quantum":[7,59],"vortex":[8],"layer":[10],"in":[11,13],"superconductors":[12],"external":[14],"magnetic":[15,48],"fields":[16],"is":[17,50],"bounded":[18],"by":[19],"universal":[21],"value":[22],"kBln":[23],"2,":[24],"which":[25],"explains":[26],"puzzling":[27],"results":[28],"of":[29,39,46,56],"recent":[30],"experiments":[31],"on":[32],"Nernst":[34,41,60],"effect.":[35,61],"The":[36],"observed":[37],"plateau":[38],"signal":[42],"as":[43],"a":[44,54],"function":[45],"field":[49],"correspondingly":[51],"attributed":[52],"to":[53],"manifestation":[55],"integer":[58]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2022-05-05T00:00:00"}