A new algorithm to study the critical behavior of topological phase transitions

Página do item simplificado
dc.creatorBismarck Vaz da Costa
dc.creatorLucas Alvares da Silva Mól
dc.creatorJulio Cesar Siqueira Rocha
dc.date.accessioned2025-02-24T18:09:06Z
dc.date.accessioned2025-09-09T00:02:38Z
dc.date.available2025-02-24T18:09:06Z
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/s13538-019-00636-x
dc.identifier.issn1678-4448
dc.identifier.urihttps://hdl.handle.net/1843/80357
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofBrazilian Journal of Physics
dc.rightsAcesso Restrito
dc.subjectTransições de fases
dc.subject.otherPartition function zeros
dc.subject.otherTopological phase transition
dc.subject.otherXY model
dc.subject.otherMonte Carlo simulations
dc.subject.otherReplica-exchange Wang-Landau
dc.titleA new algorithm to study the critical behavior of topological phase transitions
dc.typeArtigo de periódico
local.citation.epage276
local.citation.spage271
local.citation.volume49
local.description.resumoTopological phase transitions such as the Berezinskii-Kosterlitz-Thouless (BKT) transition are difficult to characterize due to the difficulty in defining an appropriate order parameter or to unravel its critical properties. In this paper, we discuss the application of a newly introduced numerical algorithm that was inspired by the Fisher zeros of the partition function and is based on the partial knowledge of the zeros of the energy probability distribution (EPD zeros). This iterative method has proven to be quite general, furnishing the transition temperature with great precision and a relatively low computational effort. Since it does not need the a priori knowledge of any order parameter it provides an unbiased estimative of the transition temperature being convenient to the study of this kind of phase transition. Therefore, we applied the EPD zeros approach to the 2D XY model, which is well known for showing a BKT transition, in order to demonstrate its effectivity in the study of the BKT transition. Our results are consistent with the real and imaginary parts of the pseudo-transition temperature, T (L), having a different asymptotic behavior, which suggests a way to characterize a BKT like transition.
local.identifier.orcidhttps://orcid.org/0000-0002-0166-4162
local.identifier.orcidhttps://orcid.org/0000-0002-5001-0499
local.identifier.orcidhttp://orcid.org/0000-0002-6428-2946
local.publisher.countryBrasil
local.publisher.departmentICX - DEPARTAMENTO DE FÍSICA
local.publisher.initialsUFMG
local.url.externahttps://link.springer.com/article/10.1007/s13538-019-00636-x

Arquivos

Licença do pacote

Agora exibindo 1 - 1 de 1
Imagem de Miniatura
Nome:
License.txt
Tamanho:
1.99 KB
Formato:
Plain Text
Descrição:
Baixar

Coleções

Artigo de Periódico

Logo UFMG