{"id":"https://openalex.org/W2953135300","doi":"https://doi.org/10.1137/080714312","title":"Nonlinear Electron and Spin Transport in Semiconductor Superlattices","display_name":"Nonlinear Electron and Spin Transport in Semiconductor Superlattices","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2953135300","doi":"https://doi.org/10.1137/080714312","mag":"2953135300"},"language":"en","primary_location":{"id":"doi:10.1137/080714312","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080714312","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0807.3900","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051606797","display_name":"L. L. Bonilla","orcid":"https://orcid.org/0000-0002-7687-8595"},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"L. L. Bonilla","raw_affiliation_strings":["Universidad Carlos III"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad Carlos III","institution_ids":["https://openalex.org/I50357001"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038624508","display_name":"Luigi Barletti","orcid":"https://orcid.org/0000-0003-2111-2813"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"L. Barletti","raw_affiliation_strings":["Universita' di Firenze"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universita' di Firenze","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"last","author":{"id":null,"display_name":"M. Alvaro","orcid":null},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. Alvaro","raw_affiliation_strings":["Universidad Carlos III"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad Carlos III","institution_ids":["https://openalex.org/I50357001"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3825,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.81607451,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"69","issue":"2","first_page":"494","last_page":"513"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10382","display_name":"Quantum and electron transport phenomena","score":1.0,"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/T10382","display_name":"Quantum and electron transport phenomena","score":1.0,"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":0.9994999766349792,"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/T10022","display_name":"Semiconductor Quantum Structures and Devices","score":0.9990000128746033,"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/physics","display_name":"Physics","score":0.7407031059265137},{"id":"https://openalex.org/keywords/superlattice","display_name":"Superlattice","score":0.6913948059082031},{"id":"https://openalex.org/keywords/electron","display_name":"Electron","score":0.681380033493042},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.6737056970596313},{"id":"https://openalex.org/keywords/spin-polarization","display_name":"Spin polarization","score":0.6228386759757996},{"id":"https://openalex.org/keywords/electric-field","display_name":"Electric field","score":0.6097633838653564},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4866843819618225},{"id":"https://openalex.org/keywords/inelastic-collision","display_name":"Inelastic collision","score":0.4693300127983093},{"id":"https://openalex.org/keywords/spin","display_name":"Spin (aerodynamics)","score":0.45273393392562866},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.4380784332752228},{"id":"https://openalex.org/keywords/polarization","display_name":"Polarization (electrochemistry)","score":0.42962077260017395},{"id":"https://openalex.org/keywords/quantum-electrodynamics","display_name":"Quantum electrodynamics","score":0.4010505676269531},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.29107314348220825},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.08930817246437073}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7407031059265137},{"id":"https://openalex.org/C105382558","wikidata":"https://www.wikidata.org/wiki/Q332431","display_name":"Superlattice","level":2,"score":0.6913948059082031},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.681380033493042},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.6737056970596313},{"id":"https://openalex.org/C21690051","wikidata":"https://www.wikidata.org/wiki/Q962347","display_name":"Spin polarization","level":3,"score":0.6228386759757996},{"id":"https://openalex.org/C60799052","wikidata":"https://www.wikidata.org/wiki/Q46221","display_name":"Electric field","level":2,"score":0.6097633838653564},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4866843819618225},{"id":"https://openalex.org/C186647298","wikidata":"https://www.wikidata.org/wiki/Q2074917","display_name":"Inelastic collision","level":3,"score":0.4693300127983093},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.45273393392562866},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.4380784332752228},{"id":"https://openalex.org/C205049153","wikidata":"https://www.wikidata.org/wiki/Q2698605","display_name":"Polarization (electrochemistry)","level":2,"score":0.42962077260017395},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.4010505676269531},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.29107314348220825},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.08930817246437073},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/080714312","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080714312","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:0807.3900","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0807.3900","pdf_url":"https://arxiv.org/pdf/0807.3900","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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:flore.unifi.it:2158/675586","is_oa":false,"landing_page_url":"https://epubs.siam.org/doi/epdf/10.1137/120893483","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0807.3900","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0807.3900","pdf_url":"https://arxiv.org/pdf/0807.3900","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.5}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W36561906","https://openalex.org/W1965387004","https://openalex.org/W1968073506","https://openalex.org/W1970322724","https://openalex.org/W1971385745","https://openalex.org/W2017116538","https://openalex.org/W2022913026","https://openalex.org/W2041331123","https://openalex.org/W2045004366","https://openalex.org/W2066060292","https://openalex.org/W2067700446","https://openalex.org/W2106474218","https://openalex.org/W2110275338","https://openalex.org/W2125533804","https://openalex.org/W2152518857","https://openalex.org/W3148145244"],"related_works":["https://openalex.org/W2026628379","https://openalex.org/W1984860738","https://openalex.org/W2405895097","https://openalex.org/W2168586217","https://openalex.org/W2792721407","https://openalex.org/W279396859","https://openalex.org/W2765670836","https://openalex.org/W1965686274","https://openalex.org/W2012557245","https://openalex.org/W2772254203"],"abstract_inverted_index":{"Nonlinear":[0],"charge":[1],"transport":[2],"in":[3,66],"strongly":[4],"coupled":[5],"semiconductor":[6],"superlattices":[7],"is":[8,42],"described":[9,32],"by":[10,33,90],"Wigner\u2013Poisson":[11],"kinetic":[12,68],"equations":[13,79,117],"involving":[14],"one":[15],"or":[16,108],"two":[17],"minibands.":[18],"Electron-electron":[19],"collisions":[20,30],"are":[21,31,48,70,88],"treated":[22],"within":[23],"the":[24,45,50,54,59,63,67,81,85,93,136,139],"Hartree":[25],"approximation,":[26],"whereas":[27],"other":[28],"inelastic":[29],"a":[34,98,143],"modified":[35],"BGK":[36],"(Bhatnaghar\u2013Gross\u2013Krook)":[37],"model.":[38],"The":[39],"hyperbolic":[40],"limit":[41],"such":[43],"that":[44],"collision":[46],"frequencies":[47,56],"of":[49,92,135,152],"same":[51],"order":[52],"as":[53],"Bloch":[55],"due":[57],"to":[58,121],"electric":[60,86],"field,":[61],"and":[62,84,113,125,138],"corresponding":[64,115],"terms":[65],"equation":[69],"dominant.":[71],"In":[72],"this":[73],"limit,":[74],"spatially":[75],"nonlocal":[76],"drift-diffusion":[77,116],"balance":[78],"for":[80],"miniband":[82],"populations":[83],"field":[87],"derived":[89],"means":[91],"Chapman\u2013Enskog":[94],"perturbation":[95],"technique.":[96],"For":[97],"lateral":[99,146],"superlattice":[100,147,153],"with":[101,105],"spin-orbit":[102],"interaction,":[103],"electrons":[104],"spin":[106,127,140,154],"up":[107],"down":[109],"have":[110],"different":[111],"energies,":[112],"their":[114],"can":[118],"be":[119],"used":[120],"calculate":[122],"spin-polarized":[123],"currents":[124],"electron":[126],"polarization.":[128],"Numerical":[129],"solutions":[130],"show":[131],"stable":[132],"self-sustained":[133],"oscillations":[134],"current":[137],"polarization":[141],"through":[142],"voltage":[144],"biased":[145],"thereby":[148],"providing":[149],"an":[150],"example":[151],"oscillator.":[155]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
