{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,26]],"date-time":"2026-10-26T20:38:21Z","timestamp":1793047101896,"version":"4.5.0"},"reference-count":51,"publisher":"American Physical Society (APS)","issue":"22","license":[{"start":{"date-parts":[[2026,6,5]],"date-time":"2026-06-05T00:00:00Z","timestamp":1780617600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["EXC\u20132111\u2013390814868"],"award-info":[{"award-number":["EXC\u20132111\u2013390814868"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["KN1254\/1-2"],"award-info":[{"award-number":["KN1254\/1-2"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["KN1254\/2-1"],"award-info":[{"award-number":["KN1254\/2-1"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["TRR 360\u2013492547816"],"award-info":[{"award-number":["TRR 360\u2013492547816"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["247310070"],"award-info":[{"award-number":["247310070"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Munich Quantum Valley"}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. Lett."],"accepted":{"date-parts":[[2026,5,15]]},"abstract":"<jats:p>\n                    The Berezinskii-Kosterlitz-Thouless (BKT) transition is an archetypal example of a topological phase transition, which is driven by the proliferation of vortices. In this Letter, we analyze the persistence of the BKT transition in the XY model under the influence of long-range algebraically decaying interactions of the form\n                    <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <a:mo>\u223c<\/a:mo>\n                      <a:mn>1<\/a:mn>\n                      <a:mo>\/<\/a:mo>\n                      <a:msup>\n                        <a:mi>r<\/a:mi>\n                        <a:mrow>\n                          <a:mn>2<\/a:mn>\n                          <a:mo>+<\/a:mo>\n                          <a:mi>\u03c3<\/a:mi>\n                        <\/a:mrow>\n                      <\/a:msup>\n                    <\/a:math>\n                    . The model hosts a magnetized low temperature phase for sufficiently small\n                    <c:math xmlns:c=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <c:mrow>\n                        <c:mi>\u03c3<\/c:mi>\n                      <\/c:mrow>\n                    <\/c:math>\n                    . Crucially, in the presence of long-range interactions, spin waves renormalize the interaction between vortices, which stabilizes the BKT transition. As a result, we find that there is no direct transition from the magnetized to the disordered phase and that the BKT transition persists for arbitrary long-range exponents, which is distinct from previous results. The key methodological advance is the inclusion of coupling between spin wave and topological excitations. We do this by developing Landau-Peierls\u2013type arguments and using higher-order renormalization group calculations, obtaining compatible results. We emphasize that Landau-Peierls\u2013type arguments are a powerful tool for analyzing continuous spin models. We discuss the relevance of our findings for current Rydberg atom experiments, and highlight the importance of long-range couplings for other types of topological defects.\n                  <\/jats:p>","DOI":"10.1103\/9y2v-ybdb","type":"journal-article","created":{"date-parts":[[2026,5,15]],"date-time":"2026-05-15T14:07:01Z","timestamp":1778854021000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Persistence of the Berezinskii-Kosterlitz-Thouless Transition with Long-Range Couplings"],"prefix":"10.1103","volume":"136","author":[{"ORCID":"https:\/\/orcid.org\/0009-0000-8661-908X","authenticated-orcid":true,"given":"Luis","family":"Walther","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/02kkvpp62","id-type":"ROR","asserted-by":"publisher"}],"name":"Technical University of Munich"},{"id":[{"id":"https:\/\/ror.org\/01bf9rw71","id-type":"ROR","asserted-by":"publisher"}],"name":"Max-Planck-Institut f\u00fcr Physik komplexer Systeme"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6895-6039","authenticated-orcid":true,"given":"Josef","family":"Willsher","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/02kkvpp62","id-type":"ROR","asserted-by":"publisher"}],"name":"Technical University of Munich"},{"id":[{"id":"https:\/\/ror.org\/04xrcta15","id-type":"ROR","asserted-by":"publisher"}],"name":"Munich Center for Quantum Science and Technology (MCQST)"},{"id":[{"id":"https:\/\/ror.org\/01bf9rw71","id-type":"ROR","asserted-by":"publisher"}],"name":"Max-Planck-Institut f\u00fcr Physik komplexer Systeme"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0956-2419","authenticated-orcid":true,"given":"Johannes","family":"Knolle","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/02kkvpp62","id-type":"ROR","asserted-by":"publisher"}],"name":"Technical University of Munich"},{"id":[{"id":"https:\/\/ror.org\/04xrcta15","id-type":"ROR","asserted-by":"publisher"}],"name":"Munich Center for Quantum Science and Technology (MCQST)"},{"id":[{"id":"https:\/\/ror.org\/041kmwe10","id-type":"ROR","asserted-by":"publisher"}],"name":"Imperial College London"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2026,6,5]]},"reference":[{"key":"9y2v-ybdbCc1R1","first-page":"493","type":"journal-article","volume":"32","author":"V.\u2009L. 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All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2026","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/","name":"creative_commons_license","label":"Creative Commons license","group":{"name":"licenses","label":"Licenses"}},{"value":"\u00a92026 The authors","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"227102"}}