The fully frustrated XY model revisited: a new universality class

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dc.creatorAnderson Barbosa Lima
dc.creatorLucas Alvares da Silva Mól
dc.creatorBismarck Vaz da Costa
dc.date.accessioned2025-02-24T18:42:36Z
dc.date.accessioned2025-09-08T23:04:52Z
dc.date.available2025-02-24T18:42:36Z
dc.date.issued2019
dc.description.sponsorshipCNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico
dc.description.sponsorshipFAPEMIG - Fundação de Amparo à Pesquisa do Estado de Minas Gerais
dc.identifier.doihttps://doi.org/10.1007/s10955-019-02271-x
dc.identifier.issn1572-9613
dc.identifier.urihttps://hdl.handle.net/1843/80368
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofJournal of Statistical Physics
dc.rightsAcesso Restrito
dc.subjectTransição de fase
dc.subject.otherPhase transitions
dc.titleThe fully frustrated XY model revisited: a new universality class
dc.typeArtigo de periódico
local.citation.epage971
local.citation.spage960
local.citation.volume175
local.description.resumoThe two-dimensional (2d) fully frustrated Planar Rotator model on a square lattice has been the subject of a long controversy due to the simultaneous Z2 and O(2) symmetry existing in the model. The O(2) symmetry being responsible for the Berezinskii–Kosterlitz–Thouless transition (B K T ) while the Z2 drives an Ising-like transition. There are arguments supporting two possible scenarios, one advocating that the loss of I sing and B K T order take place at the same temperature Tt and the other that the Z2 transition occurs at a higher temperature than the B K T one. In the first case an immediate consequence is that this model is in a new universality class. Most of the studies take hand of some order parameter like the stiffness, Binder’s cumulant or magnetization to obtain the transition temperature. Considering that the transition temperatures are obtained, in general, as an average over the estimates taken about several of those quantities, it is difficult to decide if they are describing the same or slightly separate transitions. In this paper we describe an iterative method based on the knowledge of the complex zeros of the energy probability distribution to study the critical behavior of the system. The method is general with advantages over most conventional techniques since it does not need to identify any order parameter a priori. The critical temperature and exponents can be obtained with good precision. We apply the method to study the Fully Frustrated Planar Rotator (F F P R) and the Anisotropic Heisenberg (F F X Y ) models in two dimensions. We show that both models are in a new universality class with T P R = 0.45286(32) and T X Y = 0.36916(16) respectively and the transition exponent ν = 0.824(30) ( 1 ν = 1.22(4)).
local.identifier.orcidhttps://orcid.org/0000-0001-7761-1326
local.identifier.orcidhttps://orcid.org/0000-0002-5001-0499
local.identifier.orcidhttps://orcid.org/0000-0002-0166-4162
local.publisher.countryBrasil
local.publisher.departmentICX - DEPARTAMENTO DE FÍSICA
local.publisher.initialsUFMG
local.url.externahttps://link.springer.com/article/10.1007/s10955-019-02271-x

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