{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T19:00:16Z","timestamp":1790881216792,"version":"4.1.0"},"reference-count":55,"publisher":"American Physical Society (APS)","issue":"3","license":[{"start":{"date-parts":[[2026,7,14]],"date-time":"2026-07-14T00:00:00Z","timestamp":1783987200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100013736","name":"Julian Schwinger Foundation for Physics Research","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100013736","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000288","name":"Royal Society","doi-asserted-by":"publisher","award":["URFR1251326"],"award-info":[{"award-number":["URFR1251326"]}],"id":[{"id":"10.13039\/501100000288","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003246","name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100003246","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. Lett."],"accepted":{"date-parts":[[2026,5,21]]},"abstract":"<jats:p>\n                    We investigate the zero magnetization and ground state phase diagram of a spin-\n                    <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <a:mrow>\n                        <a:mn>1<\/a:mn>\n                        <a:mo>\/<\/a:mo>\n                        <a:mn>2<\/a:mn>\n                      <\/a:mrow>\n                    <\/a:math>\n                    chain with competing ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor exchange couplings in the strongly interacting regime. Using density matrix renormalization group (DMRG) simulations, we discover two successive commensurate-incommensurate transitions of the nonconformal Pokrovsky-Talapov universality class, occurring even at zero magnetic field. We argue that the first transition marks the proliferation of solitonic discommensurations (kink-antikink pairs) in a critical phase with central charge\n                    <c:math xmlns:c=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <c:mi>c<\/c:mi>\n                      <c:mo>=<\/c:mo>\n                      <c:mn>2<\/c:mn>\n                    <\/c:math>\n                    , emerging from a period-4 gapped phase. At the second transition, an incommensurate quadrupolar (or nematic) Luttinger liquid forms out of a gapped phase separation, via the condensation of two-magnon bound pairs. In the strongly interacting limit, the location of the two Pokrovsky-Talapov transitions can be analytically predicted with degenerate perturbation theory. Our results demonstrate that frustration alone is sufficient to drive continuous commensurate-incommensurate transitions of Mott type and stabilize complex objects with incommensurate quasi\u2013long-range order without doping.\n                  <\/jats:p>","DOI":"10.1103\/5j3k-hztz","type":"journal-article","created":{"date-parts":[[2026,5,21]],"date-time":"2026-05-21T15:32:32Z","timestamp":1779377552000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Commensurate-Incommensurate Mott Transition without Magnetic Field: Emergence of Nematic Luttinger Liquid in XXZ Chain"],"prefix":"10.1103","volume":"137","author":[{"ORCID":"https:\/\/orcid.org\/0009-0000-6929-5976","authenticated-orcid":true,"given":"Julien","family":"Fitouchi","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/02e2c7k09","id-type":"ROR","asserted-by":"publisher"}],"name":"Delft University of Technology"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5313-5035","authenticated-orcid":true,"given":"Natalia","family":"Chepiga","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/052gg0110","id-type":"ROR","asserted-by":"publisher"}],"name":"University of Oxford"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2026,7,14]]},"reference":[{"key":"5j3k-hztzCc1R1","volume-title":"Quantum Physics in One Dimension","author":"T. Giamarchi","year":"2004","type":"book"},{"key":"5j3k-hztzCc2R1","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511615832","type":"book","volume-title":"Quantum Field Theory in Condensed Matter Physics","author":"A.\u2009M. Tsvelik","year":"2003"},{"key":"5j3k-hztzCc3R1","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511973765","type":"book","volume-title":"Quantum Phase Transitions","author":"S. Sachdev","year":"2011"},{"key":"5j3k-hztzCc4R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.69.2863","type":"journal-article"},{"key":"5j3k-hztzCc5R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.aop.2010.09.012","type":"journal-article"},{"key":"5j3k-hztzCc6R1","volume-title":"Quantum Magnetism","author":"D.\u2009C. Cabra","year":"2004","type":"book"},{"key":"5j3k-hztzCc7R1","doi-asserted-by":"publisher","DOI":"10.1007\/s100510050010","type":"journal-article"},{"key":"5j3k-hztzCc8R1","doi-asserted-by":"crossref","DOI":"10.1007\/978-93-86279-07-1","type":"book","volume-title":"Field Theories in Condensed Matter Physics","author":"S. Rao","year":"2001"},{"key":"5j3k-hztzCc10R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.61.12474","type":"journal-article"},{"key":"5j3k-hztzCc11R1","doi-asserted-by":"publisher","DOI":"10.1016\/S0921-4526(96)00768-5","type":"journal-article"},{"key":"5j3k-hztzCc12R1","doi-asserted-by":"publisher","DOI":"10.1007\/bf00114059","type":"journal-article"},{"key":"5j3k-hztzCc13R1","unstructured":"Also known as Kasteleyn transition in the context of quantum dimers [14].","type":"other"},{"key":"5j3k-hztzCc14R1","doi-asserted-by":"publisher","DOI":"10.1063\/1.1703953","type":"journal-article"},{"key":"5j3k-hztzCc15R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.42.65","type":"journal-article"},{"key":"5j3k-hztzCc16R1","doi-asserted-by":"publisher","DOI":"10.1088\/0034-4885\/45\/6\/001","type":"journal-article"},{"key":"5j3k-hztzCc17R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.80.245418","type":"journal-article"},{"key":"5j3k-hztzCc18R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.3.023049","type":"journal-article"},{"key":"5j3k-hztzCc19R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.4.043225","type":"journal-article"},{"key":"5j3k-hztzCc20R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.77.094404","type":"journal-article"},{"key":"5j3k-hztzCc21R1","doi-asserted-by":"publisher","DOI":"10.1143\/JPSJ.68.3185","type":"journal-article"},{"key":"5j3k-hztzCc22R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.63.134438","type":"journal-article"},{"key":"5j3k-hztzCc23R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.81.910","type":"journal-article"},{"key":"5j3k-hztzCc24R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.78.144404","type":"journal-article"},{"key":"5j3k-hztzCc25R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.80.140402","type":"journal-article"},{"key":"5j3k-hztzCc26R1","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/92\/37001","type":"journal-article"},{"key":"5j3k-hztzCc27R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.118.247201","type":"journal-article"},{"key":"5j3k-hztzCc28R1","doi-asserted-by":"publisher","DOI":"10.1143\/JPSJ.80.113705","type":"journal-article"},{"key":"5j3k-hztzCc29R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.96.224424","type":"journal-article"},{"key":"5j3k-hztzCc30R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.108.187206","type":"journal-article"},{"key":"5j3k-hztzCc31R1","doi-asserted-by":"publisher","DOI":"10.1103\/htsq-xl8t","type":"journal-article"},{"key":"5j3k-hztzCc32R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.102.081104","type":"journal-article"},{"key":"5j3k-hztzCc33R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.3.013114","type":"journal-article"},{"key":"5j3k-hztzCc34R1","doi-asserted-by":"publisher","DOI":"10.1088\/0022-3719\/6\/7\/010","type":"journal-article"},{"key":"5j3k-hztzCc35R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.84.115135","type":"journal-article"},{"key":"5j3k-hztzCc36R1","unstructured":"We may write Si\u2212Sj\u2212=Qij\u2212\u2212=Qijx2\u2212y2\u2212iQijxy where Qijx2\u2212y2=SixSjx\u2212SiySjy and Qijxy=SixSjy\u2212SiySjx. Such definitions follow from the nematic tensor defined for spin-1\/2 as Qij\u03b1\u03b2=Si\u03b1Sj\u03b2+Si\u03b2Sj\u03b1\u221223Si\u00b7Sj\u03b4\u03b1\u03b2 [37].","type":"other"},{"key":"5j3k-hztzCc37R1","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-10589-0","type":"book","volume-title":"Introduction to Frustrated Magnetism: Materials, Experiments, Theory","author":"C. Lacroix","year":"2011"},{"key":"5j3k-hztzCc38R1","unstructured":"See Supplemental Material at http:\/\/link.aps.org\/supplemental\/10.1103\/5j3k-hztz for additional Pokrovsky-Talapov scalings; further comparisons between the constrained and unconstrained systems; a description of the transitions between the three critical regimes; the explicit derivation of the effective Hamiltonians using perturbation theory.","type":"other"},{"key":"5j3k-hztzCc39R1","unstructured":"J. Fitouchi and N. Chepiga, in preparation.","type":"other"},{"key":"5j3k-hztzCc40R1","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511813467","type":"book","volume-title":"Principles of Condensed Matter Physics","author":"P.\u2009M. Chaikin","year":"1995"},{"key":"5j3k-hztzCc41R1","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/2004\/06\/P06002","type":"journal-article"},{"key":"5j3k-hztzCc42R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.96.100603","type":"journal-article"},{"key":"5j3k-hztzCc43R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.82.094452","type":"journal-article"},{"key":"5j3k-hztzCc44R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.106.064433","type":"journal-article"},{"key":"5j3k-hztzCc45R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.52.6684","type":"journal-article"},{"key":"5j3k-hztzCc46R1","volume-title":"Quantum Mechanics, Volume 2: Angular Momentum, Spin, and Approximation Methods","author":"C. Cohen-Tannoudji","year":"2019","type":"book"},{"key":"5j3k-hztzCc47R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRev.149.491","type":"journal-article"},{"key":"5j3k-hztzCc48R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.aop.2011.06.004","type":"journal-article"},{"key":"5j3k-hztzCc49R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.69.075106","type":"journal-article"},{"key":"5j3k-hztzCc50R1","unstructured":"Numerical simulations reported in this and the following paragraphs have been performed using the ITensor julia library [51, 52].","type":"other"},{"key":"5j3k-hztzCc51R1","doi-asserted-by":"publisher","DOI":"10.21468\/SciPostPhysCodeb.4","type":"journal-article"},{"key":"5j3k-hztzCc52R1","doi-asserted-by":"publisher","DOI":"10.21468\/SciPostPhysCodeb.4-r0.3","type":"journal-article"},{"key":"5j3k-hztzCc53R1","doi-asserted-by":"publisher","DOI":"10.1063\/1.3518900","type":"journal-article"},{"key":"5j3k-hztzCc54R1","doi-asserted-by":"publisher","DOI":"10.1088\/0953-8984\/27\/31\/316001","type":"journal-article"},{"key":"5j3k-hztzCc55R1","doi-asserted-by":"publisher","DOI":"10.1088\/0953-8984\/7\/14\/020","type":"journal-article"},{"key":"5j3k-hztzCc56R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.106.L201106","type":"journal-article"}],"container-title":["Physical Review Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.aps.org\/article\/10.1103\/5j3k-hztz","content-type":"unspecified","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/harvest.aps.org\/v2\/journals\/articles\/10.1103\/5j3k-hztz\/fulltext","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T18:05:10Z","timestamp":1790877910000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.aps.org\/doi\/10.1103\/5j3k-hztz"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,7,14]]},"references-count":55,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2026,7]]}},"URL":"https:\/\/doi.org\/10.1103\/5j3k-hztz","relation":{"has-preprint":[{"id-type":"doi","id":"10.48550\/arXiv.2510.05988","asserted-by":"subject"}]},"ISSN":["0031-9007","1079-7114"],"issn-type":[{"value":"0031-9007","type":"print"},{"value":"1079-7114","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,7,14]]},"assertion":[{"value":"2025-10-18","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"Published by the American Physical Society. 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":"036503"}}