{"id":"https://openalex.org/W7212286373","doi":"https://doi.org/10.48550/arxiv.2609.11810","title":"Interacting Tomonaga-L\u00fcttinger liquid with impurity for interaction constant $K = 1/2$: Thermopower investigation, entropy variation and heat capacity densities associated with thermoelectric particle transport","display_name":"Interacting Tomonaga-L\u00fcttinger liquid with impurity for interaction constant $K = 1/2$: Thermopower investigation, entropy variation and heat capacity densities associated with thermoelectric particle transport","publication_year":2026,"publication_date":"2026-09-10","ids":{"openalex":"https://openalex.org/W7212286373","doi":"https://doi.org/10.48550/arxiv.2609.11810"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.11810","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.11810","pdf_url":"https://arxiv.org/pdf/2609.11810","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","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.11810","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079022568","display_name":"Abdellah Touati","orcid":"https://orcid.org/0000-0003-4478-2529","observed_orcids":["https://orcid.org/0000-0003-4478-2529"]},"institutions":[{"id":"https://openalex.org/I3129390127","display_name":"University of Bouira","ror":"https://ror.org/00vsxg936","country_code":"DZ","type":"education","lineage":["https://openalex.org/I3129390127"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Touati, Abdellah","raw_affiliation_strings":["Annex of the Higher Normal School of Bouzareah , University of Bouira , Algeria","Department of Physics , Faculty of Exact Sciences , University of Bouira , Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Annex of the Higher Normal School of Bouzareah , University of Bouira , Algeria","institution_ids":["https://openalex.org/I3129390127"]},{"raw_affiliation_string":"Department of Physics , Faculty of Exact Sciences , University of Bouira , Algeria","institution_ids":["https://openalex.org/I3129390127"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5151301336","display_name":"Redoune Zamoum","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I3129390127","display_name":"University of Bouira","ror":"https://ror.org/00vsxg936","country_code":"DZ","type":"education","lineage":["https://openalex.org/I3129390127"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Zamoum, Redoune","raw_affiliation_strings":["Laboratory of Materials Physics and Optoelectronic Components , Department of Physics , Faculty of Exact Sciences , University of Bouira , Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Materials Physics and Optoelectronic Components , Department of Physics , Faculty of Exact Sciences , University of Bouira , Algeria","institution_ids":["https://openalex.org/I3129390127"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5151417701","display_name":"Farhi Houssam Eddine","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I3129390127","display_name":"University of Bouira","ror":"https://ror.org/00vsxg936","country_code":"DZ","type":"education","lineage":["https://openalex.org/I3129390127"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Eddine, Farhi Houssam","raw_affiliation_strings":["Department of Physics , Faculty of Exact Sciences , University of Bouira , Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Faculty of Exact Sciences , University of Bouira , Algeria","institution_ids":["https://openalex.org/I3129390127"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I3129390127"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"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/T10382","display_name":"Quantum and electron transport phenomena","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/T10382","display_name":"Quantum and electron transport phenomena","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/T11804","display_name":"Quantum many-body systems","score":0.0019000000320374966,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.001500000013038516,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/tomonaga-luttinger-liquid","display_name":"Luttinger liquid","score":1.0},{"id":"https://openalex.org/keywords/impurity-scattering","display_name":"impurity scattering","score":0.6029999852180481},{"id":"https://openalex.org/keywords/seebeck-coefficient","display_name":"Seebeck coefficient","score":0.996999979019165},{"id":"https://openalex.org/keywords/entropy-density","display_name":"entropy density","score":0.6269999742507935},{"id":"https://openalex.org/keywords/fractional-quantum-hall-effect","display_name":"fractional quantum Hall effect","score":0.703000009059906},{"id":"https://openalex.org/keywords/quantum-point-contacts","display_name":"quantum point contacts","score":0.9860000014305115},{"id":"https://openalex.org/keywords/thermoelectric-transport","display_name":"thermoelectric transport","score":0.6579999923706055},{"id":"https://openalex.org/keywords/entropy-generation","display_name":"entropy production","score":0.42899999022483826},{"id":"https://openalex.org/keywords/one-dimensional-interacting-systems","display_name":"one-dimensional interacting systems","score":0.4740000069141388},{"id":"https://openalex.org/keywords/bosonization","display_name":"bosonization","score":0.6010000109672546}],"concepts":[{"id":"https://openalex.org/C112625512","wikidata":"https://www.wikidata.org/wiki/Q1091448","display_name":"Seebeck coefficient","level":3,"score":0.7985000014305115},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.7373999953269958},{"id":"https://openalex.org/C2780517372","wikidata":"https://www.wikidata.org/wiki/Q114769","display_name":"Kubo formula","level":3,"score":0.4674000144004822},{"id":"https://openalex.org/C60205243","wikidata":"https://www.wikidata.org/wiki/Q179388","display_name":"Heat capacity","level":2,"score":0.46369999647140503},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.46050000190734863},{"id":"https://openalex.org/C63024428","wikidata":"https://www.wikidata.org/wiki/Q552456","display_name":"Thermoelectric effect","level":2,"score":0.4555000066757202},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4318999946117401},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.41019999980926514},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4009999930858612},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3630000054836273},{"id":"https://openalex.org/C197334999","wikidata":"https://www.wikidata.org/wiki/Q1430514","display_name":"Luttinger liquid","level":3,"score":0.3384999930858612},{"id":"https://openalex.org/C55310301","wikidata":"https://www.wikidata.org/wiki/Q75384","display_name":"Transmission coefficient","level":3,"score":0.33059999346733093},{"id":"https://openalex.org/C53964469","wikidata":"https://www.wikidata.org/wiki/Q230895","display_name":"Density of states","level":2,"score":0.3188999891281128},{"id":"https://openalex.org/C2777922955","wikidata":"https://www.wikidata.org/wiki/Q4947448","display_name":"Bosonization","level":3,"score":0.31700000166893005},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.3167000114917755},{"id":"https://openalex.org/C106925770","wikidata":"https://www.wikidata.org/wiki/Q17021908","display_name":"Heat current","level":3,"score":0.30489999055862427},{"id":"https://openalex.org/C34800285","wikidata":"https://www.wikidata.org/wiki/Q5159395","display_name":"Conductor","level":2,"score":0.2896000146865845},{"id":"https://openalex.org/C207365445","wikidata":"https://www.wikidata.org/wiki/Q15020929","display_name":"Thermoelectric materials","level":3,"score":0.2883000075817108},{"id":"https://openalex.org/C200369452","wikidata":"https://www.wikidata.org/wiki/Q1047822","display_name":"Quantum Hall effect","level":3,"score":0.2815000116825104},{"id":"https://openalex.org/C35304006","wikidata":"https://www.wikidata.org/wiki/Q5962","display_name":"Boltzmann constant","level":2,"score":0.2623000144958496},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.25760000944137573}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.11810","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.11810","pdf_url":"https://arxiv.org/pdf/2609.11810","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.2609.11810","doi":"https://doi.org/10.48550/arxiv.2609.11810","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.11810","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.11810","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.11810","pdf_url":"https://arxiv.org/pdf/2609.11810","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/W7212286373.pdf","grobid_xml":"https://content.openalex.org/works/W7212286373.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W4296406434"],"related_works":["https://openalex.org/W1997670113","https://openalex.org/W2935855995","https://openalex.org/W1992886577","https://openalex.org/W4321455005","https://openalex.org/W2009468589","https://openalex.org/W1984076241","https://openalex.org/W2945483694","https://openalex.org/W2033976342","https://openalex.org/W2095492800","https://openalex.org/W2598009475"],"abstract_inverted_index":{"We":[0,112],"investigate":[1],"thermoelectric":[2,142],"and":[3,23,37,65,94,124,144],"thermodynamic":[4,145],"properties":[5,146],"of":[6,17,61],"a":[7,18,53,117,126],"Tomonaga-Luttinger":[8],"liquid":[9],"with":[10],"interaction":[11],"parameter":[12],"$K=1/2$":[13],"in":[14,33,43,108,147],"the":[15,31,34,39,49,58,62,73,86,90,95,99,109,138],"presence":[16],"localized":[19],"impurity.":[20],"Using":[21],"bosonization":[22],"refermionization,":[24],"we":[25],"derive":[26,82],"an":[27,132],"exact":[28],"expression":[29],"for":[30],"thermopower":[32,87],"nonlinear":[35],"regime":[36],"obtain":[38],"corresponding":[40],"Seebeck":[41,50],"coefficient":[42,51,64],"linear":[44],"response.":[45],"At":[46],"low":[47],"temperature,":[48],"follows":[52],"Mott-like":[54,106],"relation":[55],"governed":[56],"by":[57],"energy":[59],"dependence":[60],"transmission":[63],"is":[66],"found":[67],"to":[68,72,81,89,98,116,125,131],"be":[69],"closely":[70],"related":[71],"entropy":[74,91],"per":[75],"particle.":[76],"This":[77],"connection":[78,140],"allows":[79],"us":[80],"using":[83],"Kelvin":[84],"formula":[85],"contribution":[88,97],"density":[92],"variation":[93],"charge-carriers":[96],"heat":[100],"capacity":[101],"density.":[102],"Both":[103],"quantities":[104],"exhibit":[105],"behavior":[107],"low-temperature":[110],"regime.":[111],"apply":[113],"our":[114],"results":[115,136],"fractional":[118],"quantum":[119,121,128,150],"Hall":[120],"point":[122],"contact":[123],"one-channel":[127],"conductor":[129],"coupled":[130],"Ohmic":[133],"environment.":[134],"Our":[135],"demonstrate":[137],"close":[139],"between":[141],"transport":[143],"interacting":[148],"one-dimensional":[149],"systems.":[151]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-12T00:00:00"}
