{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,20]],"date-time":"2026-10-20T00:23:36Z","timestamp":1792455816252,"version":"4.5.0"},"reference-count":54,"publisher":"American Physical Society (APS)","issue":"5","license":[{"start":{"date-parts":[[2025,2,13]],"date-time":"2025-02-13T00:00:00Z","timestamp":1739404800000},"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":["524270816"],"award-info":[{"award-number":["524270816"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["FOR 5413\/1"],"award-info":[{"award-number":["FOR 5413\/1"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["465199066"],"award-info":[{"award-number":["465199066"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. B"],"accepted":{"date-parts":[[2025,1,24]]},"abstract":"<jats:p>\n                    The numerical study of high-dimensional frustrated quantum magnets remains a challenging problem. Here we present an extension of the pseudo-Majorana functional renormalization group to spin-1\/2 XXZ-type Hamiltonians with field or magnetization along spin-\n                    <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <a:mi>Z<\/a:mi>\n                    <\/a:math>\n                    direction at finite temperature. We consider a U(1) symmetry-adapted fermionic spin representation and derive the diagrammatic framework and its renormalization group flow equations. We discuss benchmark results and application to two antiferromagnetic triangular lattice materials recently studied in experiments with applied magnetic fields: First, we numerically reproduce the magnetization data measured for\n                    <b:math xmlns:b=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <b:mrow>\n                        <b:msub>\n                          <b:mi>CeMgAl<\/b:mi>\n                          <b:mn>11<\/b:mn>\n                        <\/b:msub>\n                        <b:msub>\n                          <b:mi mathvariant=\"normal\">O<\/b:mi>\n                          <b:mn>19<\/b:mn>\n                        <\/b:msub>\n                      <\/b:mrow>\n                    <\/b:math>\n                    confirming model parameters previously estimated from inelastic neutron spectrum in high fields. Second, we showcase the accuracy of our method by studying the thermal phase transition into the spin solid up-up-down phase of\n                    <d:math xmlns:d=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <d:mrow>\n                        <d:msub>\n                          <d:mi>Na<\/d:mi>\n                          <d:mn>2<\/d:mn>\n                        <\/d:msub>\n                        <d:mi>BaCo<\/d:mi>\n                        <d:msub>\n                          <d:mrow>\n                            <d:mo>(<\/d:mo>\n                            <d:msub>\n                              <d:mi>PO<\/d:mi>\n                              <d:mn>4<\/d:mn>\n                            <\/d:msub>\n                            <d:mo>)<\/d:mo>\n                          <\/d:mrow>\n                          <d:mn>2<\/d:mn>\n                        <\/d:msub>\n                      <\/d:mrow>\n                    <\/d:math>\n                    in good agreement with experiment.\n                  <\/jats:p>","DOI":"10.1103\/physrevb.111.054420","type":"journal-article","created":{"date-parts":[[2025,2,13]],"date-time":"2025-02-13T12:36:04Z","timestamp":1739450164000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":7,"title":["Pseudo-Majorana functional renormalization for frustrated XXZ spin-\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <mml:mfrac>\n                        <mml:mn>1<\/mml:mn>\n                        <mml:mn>2<\/mml:mn>\n                      <\/mml:mfrac>\n                    <\/mml:math>\n                    models with field or magnetization along the spin-\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <mml:mi>Z<\/mml:mi>\n                    <\/mml:math>\n                    direction at finite temperature"],"prefix":"10.1103","volume":"111","author":[{"ORCID":"https:\/\/orcid.org\/0009-0006-4316-6547","authenticated-orcid":true,"given":"Frederic","family":"Bippus","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/04d836q62","id-type":"ROR","asserted-by":"publisher"}],"name":"TU Wien"},{"id":[{"id":"https:\/\/ror.org\/04xrcta15","id-type":"ROR","asserted-by":"publisher"}],"name":"Munich Center for Quantum Science and Technology"},{"id":[{"id":"https:\/\/ror.org\/05591te55","id-type":"ROR","asserted-by":"publisher"}],"name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2546-339X","authenticated-orcid":true,"given":"Benedikt","family":"Schneider","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/04xrcta15","id-type":"ROR","asserted-by":"publisher"}],"name":"Munich Center for Quantum Science and Technology"},{"id":[{"id":"https:\/\/ror.org\/05591te55","id-type":"ROR","asserted-by":"publisher"}],"name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1063-2389","authenticated-orcid":true,"given":"Bj\u00f6rn","family":"Sbierski","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/04xrcta15","id-type":"ROR","asserted-by":"publisher"}],"name":"Munich Center for Quantum Science and Technology"},{"id":[{"id":"https:\/\/ror.org\/05591te55","id-type":"ROR","asserted-by":"publisher"}],"name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen"},{"id":[{"id":"https:\/\/ror.org\/03a1kwz48","id-type":"ROR","asserted-by":"publisher"}],"name":"Universit\u00e4t T\u00fcbingen"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2025,2,13]]},"reference":[{"key":"PhysRevB.111.054420Cc1R1","doi-asserted-by":"publisher","DOI":"10.1038\/nature08917","type":"journal-article"},{"key":"PhysRevB.111.054420Cc2R1","doi-asserted-by":"publisher","DOI":"10.1126\/science.aay0668","type":"journal-article"},{"key":"PhysRevB.111.054420Cc3R1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-0869-3","type":"book","volume-title":"Interacting Electrons and Quantum Magnetism","author":"A. Auerbach","year":"1994"},{"key":"PhysRevB.111.054420Cc4R1","doi-asserted-by":"publisher","DOI":"10.1063\/1.3518900","type":"journal-article"},{"key":"PhysRevB.111.054420Cc5R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.aop.2010.09.012","type":"journal-article"},{"key":"PhysRevB.111.054420Cc6R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevX.8.031082","type":"journal-article"},{"key":"PhysRevB.111.054420Cc8R1","volume-title":"Methods of Quantum Field Theory in Statistical Physics","author":"A.\u00a0A. Abrikosov","year":"2012","type":"book"},{"key":"PhysRevB.111.054420Cc9R1","volume-title":"Statistical Mechanics of Magnetically Ordered Systems","author":"Y.\u00a0A. Izyumov","year":"1988","type":"book"},{"key":"PhysRevB.111.054420Cc10R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.99.060403","type":"journal-article"},{"key":"PhysRevB.111.054420Cc11R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.109.184410","type":"journal-article"},{"key":"PhysRevB.111.054420Cc12R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.110.063301","type":"journal-article"},{"key":"PhysRevB.111.054420Cc13R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.81.144410","type":"journal-article"},{"key":"PhysRevB.111.054420Cc14R1","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-05094-7","type":"book","volume-title":"Introduction to the Functional Renormalization Group","author":"P. 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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":"2025","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":"\u00a92025 The authors","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"054420"}}