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Employing a dimensional reduction framework, we identify the Zak phase along the quadratically dispersing direction as a topological invariant that captures the presence of edge states. In the non-trivial topological regime, systems with finite width exhibit energy-dependent edge states that are topologically protected only at specific momenta. At\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:msub>\n                            <mml:mi>k<\/mml:mi>\n                            <mml:mi>x<\/mml:mi>\n                          <\/mml:msub>\n                          <mml:mo>=<\/mml:mo>\n                          <mml:mn>0<\/mml:mn>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    , symmetry-protected edge states emerge, analogously to the Rashba-free case. At finite\n                    <jats:italic>\n                      <jats:sub>\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:msub>\n                                <mml:mi>k<\/mml:mi>\n                                <mml:mi>x<\/mml:mi>\n                              <\/mml:msub>\n                            <\/mml:mrow>\n                          <\/mml:math>\n                        <\/jats:inline-formula>\n                      <\/jats:sub>\n                    <\/jats:italic>\n                    , the interplay of SOC and band structure gives rise to spin-dependent edge states, localized on specific edges based on its spin and particle-hole character. We computed spin-resolved conductance through these edge channels and observed robust, tunable oscillations-attributable to spin precession induced by the effective Rashba magnetic field. These results reveal how spin-orbit interactions enrich the edge physics of semi-Dirac systems and provide a platform for spintronic control in anisotropic topological materials.\n                  <\/jats:p>","DOI":"10.1088\/2053-1583\/ae0f28","type":"journal-article","created":{"date-parts":[[2025,10,3]],"date-time":"2025-10-03T22:48:22Z","timestamp":1759531702000},"page":"045019","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":2,"title":["Spin-dependent transport through edge states in 2D semi-Dirac materials with Rashba spin-orbit coupling and band inversion"],"prefix":"10.1088","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7910-0423","authenticated-orcid":true,"given":"Marta","family":"Garc\u00eda Olmos","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0647-3477","authenticated-orcid":true,"given":"Yuriko","family":"Baba","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1220-6036","authenticated-orcid":false,"given":"Alexander","family":"L\u00f3pez","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3296-5064","authenticated-orcid":true,"given":"Mario","family":"Amado","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5728-0734","authenticated-orcid":true,"given":"Rafael A","family":"Molina","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"266","published-online":{"date-parts":[[2025,10,17]]},"reference":[{"key":"tdmae0f28bib1","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1038\/s41699-020-0152-0","type":"journal-article","article-title":"2D materials for spintronic devices","volume":"4","author":"Ahn","year":"2020","journal-title":"npj 2D Mater. 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