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We analyze models of armchair hexagonal geometries nanopatterned on GaAs quantum wells. Our results reveal a distinct magnetic phase transition driven by the absence\/addition of a single electron at half-filling. This form of itinerant magnetism, predicted rigorously for the Hubbard model, remained unascertained in large scale realistic systems. We demonstrate that Coulomb scattering terms play a crucial role in stabilizing Nagaoka ferromagnetism, enabling the observation of the phase transition for system parameters near\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:mi>U<\/mml:mi>\n                          <mml:mrow>\n                            <mml:mo>\/<\/mml:mo>\n                          <\/mml:mrow>\n                          <mml:mi>t<\/mml:mi>\n                          <mml:mo>\u2248<\/mml:mo>\n                          <mml:mn>60<\/mml:mn>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    .\n                  <\/jats:p>","DOI":"10.1088\/2053-1583\/ae1d92","type":"journal-article","created":{"date-parts":[[2025,11,10]],"date-time":"2025-11-10T22:48:46Z","timestamp":1762814926000},"page":"015012","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Nagaoka ferromagnetism in semiconductor artificial graphene"],"prefix":"10.1088","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6893-6356","authenticated-orcid":true,"given":"G\u00f6khan","family":"\u00d6ztarhan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8383-2205","authenticated-orcid":false,"given":"Pawe\u0142","family":"Potasz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4351-7216","authenticated-orcid":true,"given":"A D","family":"G\u00fc\u00e7l\u00fc","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"266","published-online":{"date-parts":[[2025,11,28]]},"reference":[{"key":"tdmae1d92bib1","doi-asserted-by":"publisher","first-page":"392","DOI":"10.1103\/PhysRev.147.392","type":"journal-article","volume":"147","author":"Nagaoka","year":"1966","journal-title":"Phys. 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Published by IOP Publishing Ltd","name":"copyright_information","label":"Copyright Information"},{"value":"2025-06-03","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2025-11-10","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2025-11-28","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}