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Matter"],"published-print":{"date-parts":[[2026,3,20]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    We present a theoretical study of spin Hall phenomenon in a nanoribbon of a two-dimensional electronic system with Rashba and Dresselhaus spin\u2013orbit coupling. We model the electronic system by a square lattice in real space. We show that such nanoribbon can give rise to a number of additional spin degeneracy points as well as anticrossing points, apart from the \u0393 point, between two opposite spin subbands. We compute the spin-Hall conductance and demonstrate that it diverges and gives rise to a resonance when the chemical potential passes through those spin degenerate or anticrossing points. Contrary to the previous studies, here such resonance emerges even without any external perturbation like magnetic field or light. We also examine the spin Nernst effect and find that it shows clear peaks at the anticrossing and spin degeneracy points, consistent with the Mott relation at low temperature. Finally, we also investigate the signature of such additional spin degeneracy and anticrossing points in the longitudinal conductance by using the retarded Green function approach in lattice model. The finite width induced subbands are reflected in the longitudinal conductance, which takes quantized values of\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mn>2<\/mml:mn>\n                          <mml:mi>n<\/mml:mi>\n                          <mml:msup>\n                            <mml:mi>e<\/mml:mi>\n                            <mml:mrow>\n                              <mml:mn>2<\/mml:mn>\n                            <\/mml:mrow>\n                          <\/mml:msup>\n                          <mml:mrow>\n                            <mml:mo>\/<\/mml:mo>\n                          <\/mml:mrow>\n                          <mml:mrow>\n                            <mml:mi>h<\/mml:mi>\n                          <\/mml:mrow>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    where\n                    <jats:italic>n<\/jats:italic>\n                    denotes the number of bands occupied by the chemical potential with each band having spin split subbands. We also note that anticrossing that occurs at low energy between two opposite spin subbands could be also detected via longitudinal conductance.\n                  <\/jats:p>","DOI":"10.1088\/1361-648x\/ae4c0f","type":"journal-article","created":{"date-parts":[[2026,3,2]],"date-time":"2026-03-02T22:51:53Z","timestamp":1772491913000},"page":"115301","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Resonant spin Hall and Nernst effect in a nanoribbon of a spin\u2013orbit coupled electronic system"],"prefix":"10.1088","volume":"38","author":[{"ORCID":"https:\/\/orcid.org\/0009-0006-3669-2936","authenticated-orcid":true,"given":"Mohamad","family":"Usman","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tarun Kanti","family":"Ghosh","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1224-622X","authenticated-orcid":true,"given":"SK Firoz","family":"Islam","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"266","published-online":{"date-parts":[[2026,3,16]]},"reference":[{"key":"cmae4c0fbib1","doi-asserted-by":"publisher","first-page":"1834","DOI":"10.1103\/PhysRevLett.83.1834","type":"journal-article","article-title":"Spin Hall effect","volume":"83","author":"Hirsch","year":"1999","journal-title":"Phys. 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