{"id":"https://openalex.org/W2004605481","doi":"https://doi.org/10.1103/physrevb.82.134421","title":"Thermal drag revisited: Boltzmann versus Kubo","display_name":"Thermal drag revisited: Boltzmann versus Kubo","publication_year":2010,"publication_date":"2010-10-13","ids":{"openalex":"https://openalex.org/W2004605481","doi":"https://doi.org/10.1103/physrevb.82.134421","mag":"2004605481"},"language":"en","primary_location":{"id":"doi:10.1103/physrevb.82.134421","doi":"https://doi.org/10.1103/physrevb.82.134421","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.82.134421","pdf_url":null,"source":{"id":"https://openalex.org/S6791298","display_name":"Physical Review B","issn_l":"1098-0121","issn":["1098-0121","1538-4489","1550-235X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","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 B","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1006.3949","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002177765","display_name":"Suhas Gangadharaiah","orcid":"https://orcid.org/0000-0001-7834-9438","observed_orcids":["https://orcid.org/0000-0001-7834-9438"]},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Suhas Gangadharaiah","raw_affiliation_strings":["Department of Physics, University of California, Irvine, California 92697, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, University of California, Irvine, California 92697, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055510120","display_name":"A. L. Chernyshev","orcid":"https://orcid.org/0000-0003-0965-568X","observed_orcids":["https://orcid.org/0000-0003-0965-568X"]},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. L. Chernyshev","raw_affiliation_strings":["Department of Physics, University of California, Irvine, California 92697, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, University of California, Irvine, California 92697, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114030943","display_name":"Wolfram Brenig","orcid":"https://orcid.org/0000-0002-2968-6363","observed_orcids":["https://orcid.org/0000-0002-2968-6363"]},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wolfram Brenig","raw_affiliation_strings":["Department of Physics, University of California, Irvine, California 92697, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, University of California, Irvine, California 92697, USA","institution_ids":["https://openalex.org/I204250578"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I204250578"],"apc_list":{"value":2675,"currency":"USD","value_usd":2675},"apc_paid":null,"fwci":0.4429,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.57647831,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"82","issue":"13","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11682","display_name":"Advanced Condensed Matter Physics","score":0.7461000084877014,"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/T11682","display_name":"Advanced Condensed Matter Physics","score":0.7461000084877014,"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/T11277","display_name":"Thermal properties of materials","score":0.23899999260902405,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10382","display_name":"Quantum and electron transport phenomena","score":0.0031999999191612005,"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/thermal-conductivity","display_name":"thermal conductivity","score":0.7609999775886536},{"id":"https://openalex.org/keywords/quantum-spin-systems","display_name":"quantum spin systems","score":0.8889999985694885},{"id":"https://openalex.org/keywords/spin-phonon-coupling","display_name":"spin-phonon coupling","score":0.9449999928474426},{"id":"https://openalex.org/keywords/boltzmann-equation","display_name":"Boltzmann equation","score":0.9649999737739563},{"id":"https://openalex.org/keywords/kubo-linear-response","display_name":"Kubo linear response","score":0.9120000004768372},{"id":"https://openalex.org/keywords/thermal-current","display_name":"thermal current","score":0.8209999799728394},{"id":"https://openalex.org/keywords/fermionic-excitations","display_name":"fermionic excitations","score":0.7789999842643738},{"id":"https://openalex.org/keywords/anomalous-couplings","display_name":"anomalous couplings","score":0.6959999799728394}],"concepts":[{"id":"https://openalex.org/C72921944","wikidata":"https://www.wikidata.org/wiki/Q206621","display_name":"Drag","level":2,"score":0.6586177945137024},{"id":"https://openalex.org/C35304006","wikidata":"https://www.wikidata.org/wiki/Q5962","display_name":"Boltzmann constant","level":2,"score":0.5231075286865234},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4765482544898987},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.42904433608055115},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3604664206504822},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3295438289642334},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.27761030197143555}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1103/physrevb.82.134421","doi":"https://doi.org/10.1103/physrevb.82.134421","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.82.134421","pdf_url":null,"source":{"id":"https://openalex.org/S6791298","display_name":"Physical Review B","issn_l":"1098-0121","issn":["1098-0121","1538-4489","1550-235X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","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 B","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1006.3949","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1006.3949","pdf_url":"https://arxiv.org/pdf/1006.3949","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":"pmh:oai:escholarship.org:ark:/13030/qt3f73b0vx","doi":null,"is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/3f73b0vx","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"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":"Physical Review B, vol 82, iss 13","raw_type":"article"},{"id":"doi:10.48550/arxiv.1006.3949","doi":"https://doi.org/10.48550/arxiv.1006.3949","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1006.3949","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":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1006.3949","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1006.3949","pdf_url":"https://arxiv.org/pdf/1006.3949","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/W2004605481.pdf","grobid_xml":"https://content.openalex.org/works/W2004605481.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W161502084","https://openalex.org/W614624420","https://openalex.org/W1504803537","https://openalex.org/W1559315105","https://openalex.org/W1588032552","https://openalex.org/W1638099971","https://openalex.org/W1970256446","https://openalex.org/W1983481409","https://openalex.org/W1985301714","https://openalex.org/W1997200359","https://openalex.org/W2001083594","https://openalex.org/W2002385562","https://openalex.org/W2006809197","https://openalex.org/W2007208470","https://openalex.org/W2023126044","https://openalex.org/W2035441267","https://openalex.org/W2037720415","https://openalex.org/W2041951635","https://openalex.org/W2046059992","https://openalex.org/W2047825592","https://openalex.org/W2052549164","https://openalex.org/W2055061158","https://openalex.org/W2061903045","https://openalex.org/W2065899415","https://openalex.org/W2071246696","https://openalex.org/W2072938522","https://openalex.org/W2073622567","https://openalex.org/W2080062325","https://openalex.org/W2082628610","https://openalex.org/W2090355000","https://openalex.org/W2124138287","https://openalex.org/W2127240579","https://openalex.org/W2143423258","https://openalex.org/W2550800700","https://openalex.org/W2562712059","https://openalex.org/W3003788306","https://openalex.org/W3020833317","https://openalex.org/W4213333360","https://openalex.org/W4234726800"],"related_works":["https://openalex.org/W1992582085","https://openalex.org/W1989428324","https://openalex.org/W2940769882","https://openalex.org/W1973643250","https://openalex.org/W2077005055","https://openalex.org/W1504803537","https://openalex.org/W1989938969","https://openalex.org/W2008365056","https://openalex.org/W2080062325","https://openalex.org/W7015629680"],"abstract_inverted_index":{"The":[0],"effect":[1],"of":[2,14,29,76,78,85,91,98,104],"mutual":[3],"drag":[4,27,69],"between":[5],"phonons":[6],"and":[7,81,94],"spin":[8,17],"excitations":[9,93],"on":[10],"the":[11,26,30,46,59,68,74,89],"thermal":[12,31,70],"conductivity":[13],"a":[15,83],"quantum":[16],"system":[18],"is":[19],"discussed.":[20],"We":[21,49,72],"derive":[22],"general":[23],"expression":[24],"for":[25,67],"component":[28],"current":[32],"using":[33],"Boltzmann":[34],"equation":[35],"as":[36,38],"well":[37],"Kubo":[39,60],"linear-response":[40],"formalism":[41,61],"to":[42,88,95,108],"leading":[43],"order":[44],"in":[45,58],"spin-phonon":[47],"coupling.":[48,100],"demonstrate":[50],"that":[51],"aside":[52],"from":[53],"higher-order":[54],"corrections":[55],"which":[56],"appear":[57],"both":[62],"approaches":[63],"yield":[64],"identical":[65],"result":[66,80],"conductivity.":[71],"discuss":[73],"range":[75],"applicability":[77],"our":[79,86,105],"provide":[82],"generalization":[84],"consideration":[87],"cases":[90],"fermionic":[92],"anomalous":[96],"forms":[97],"boson-phonon":[99],"Several":[101],"asymptotic":[102],"regimes":[103],"findings":[106],"relevant":[107],"realistic":[109],"situations":[110],"are":[111],"highlighted.":[112]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}