{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T15:51:04Z","timestamp":1771689064858,"version":"3.50.1"},"reference-count":43,"publisher":"IOP Publishing","issue":"32","license":[{"start":{"date-parts":[[2025,8,7]],"date-time":"2025-08-07T00:00:00Z","timestamp":1754524800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/page\/copyright"},{"start":{"date-parts":[[2025,8,7]],"date-time":"2025-08-07T00:00:00Z","timestamp":1754524800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"crossref","award":["22K18318"],"award-info":[{"award-number":["22K18318"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["J. Phys.: Condens. Matter"],"published-print":{"date-parts":[[2025,8,11]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>We theoretically investigate magnetoresistance (MR) in the extreme quantum limit (EQL), where the kinetic energy becomes significantly smaller than the cyclotron energy, using the Kubo formula with Green\u2019s functions and the <jats:italic>T<\/jats:italic>-matrix approximation. We uncover a magnetic-field-induced crossover in the scattering rate: <jats:inline-formula>\n                     <jats:tex-math\/>\n                     <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                           <mml:mn>1<\/mml:mn>\n                           <mml:mrow>\n                              <mml:mo>\/<\/mml:mo>\n                           <\/mml:mrow>\n                           <mml:mi>\u03c4<\/mml:mi>\n                           <mml:mo>\u221d<\/mml:mo>\n                           <mml:msup>\n                              <mml:mi>B<\/mml:mi>\n                              <mml:mn>2<\/mml:mn>\n                           <\/mml:msup>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                  <\/jats:inline-formula> in the Born regime and <jats:inline-formula>\n                     <jats:tex-math\/>\n                     <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                           <mml:mn>1<\/mml:mn>\n                           <mml:mrow>\n                              <mml:mo>\/<\/mml:mo>\n                           <\/mml:mrow>\n                           <mml:mi>\u03c4<\/mml:mi>\n                           <mml:mo>\u221d<\/mml:mo>\n                           <mml:msup>\n                              <mml:mi>B<\/mml:mi>\n                              <mml:mrow>\n                                 <mml:mo>\u2212<\/mml:mo>\n                                 <mml:mn>2<\/mml:mn>\n                              <\/mml:mrow>\n                           <\/mml:msup>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                  <\/jats:inline-formula> in the unitarity limit. This crossover gives rise to distinct MR behaviors in the EQL, characterized by linear transverse MR (<jats:inline-formula>\n                     <jats:tex-math\/>\n                     <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                           <mml:msub>\n                              <mml:mi>\u03c1<\/mml:mi>\n                              <mml:mrow>\n                                 <mml:mi>x<\/mml:mi>\n                                 <mml:mi>x<\/mml:mi>\n                              <\/mml:mrow>\n                           <\/mml:msub>\n                           <mml:mo>\u221d<\/mml:mo>\n                           <mml:mi>B<\/mml:mi>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                  <\/jats:inline-formula>) and negative longitudinal MR (<jats:inline-formula>\n                     <jats:tex-math\/>\n                     <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                           <mml:msub>\n                              <mml:mi>\u03c1<\/mml:mi>\n                              <mml:mrow>\n                                 <mml:mi>z<\/mml:mi>\n                                 <mml:mi>z<\/mml:mi>\n                              <\/mml:mrow>\n                           <\/mml:msub>\n                           <mml:mo>\u221d<\/mml:mo>\n                           <mml:msup>\n                              <mml:mi>B<\/mml:mi>\n                              <mml:mrow>\n                                 <mml:mo>\u2212<\/mml:mo>\n                                 <mml:mn>2<\/mml:mn>\n                              <\/mml:mrow>\n                           <\/mml:msup>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                  <\/jats:inline-formula>). This dichotomy implies insulating behavior when the magnetic field is perpendicular to the current, and metallic behavior when it is parallel. In the unitarity limit, we further derive a universal relation that enables direct experimental determination of the impurity density from <jats:italic>\u03c1<\/jats:italic>\n                  <jats:sub>\n                     <jats:italic>xx<\/jats:italic>\n                  <\/jats:sub> and <jats:italic>\u03c1<\/jats:italic>\n                  <jats:sub>\n                     <jats:italic>xy<\/jats:italic>\n                  <\/jats:sub>. Our results establish a quantum\u2013classical correspondence that remains valid even in the EQL, provided that the field dependences of the scattering rate and quantum corrections are properly incorporated.<\/jats:p>","DOI":"10.1088\/1361-648x\/adf538","type":"journal-article","created":{"date-parts":[[2025,7,28]],"date-time":"2025-07-28T22:53:44Z","timestamp":1753743224000},"page":"325701","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Magnetoresistance in the extreme quantum limit: field-induced crossover to the unitarity limit"],"prefix":"10.1088","volume":"37","author":[{"ORCID":"https:\/\/orcid.org\/0009-0000-1771-1843","authenticated-orcid":true,"given":"Shuto","family":"Tago","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2352-6075","authenticated-orcid":true,"given":"Akiyoshi","family":"Yamada","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6210-9402","authenticated-orcid":true,"given":"Yuki","family":"Fuseya","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"266","published-online":{"date-parts":[[2025,8,7]]},"reference":[{"key":"cmadf538bib1","doi-asserted-by":"publisher","first-page":"629","DOI":"10.1007\/BF01397213","volume":"64","author":"Landau","year":"1930","journal-title":"Z. 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All rights, including for text and data mining, AI training, and similar technologies, are reserved.","name":"copyright_information","label":"Copyright Information"},{"value":"2025-05-01","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2025-07-28","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2025-08-07","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}