The density profile of the six vertex model with domain wall boundary conditions

dc.contributor.authorLyberg, I.
dc.contributor.authorKorepin, V.
dc.contributor.authorViti, Jacopo
dc.date.accessioned2020-10-08T22:12:00Z
dc.date.available2020-10-08T22:12:00Z
dc.date.issued2017-05-08
dc.description.resumoWe study numerically the density profile in the six-vertex model with domain wall boundary conditions. Using a Monte Carlo algorithm originally proposed by Allison and Reshetikhin we numerically evaluate the inhomogeneous density profiles in the disordered and antiferromagnetic regimes where frozen corners appear. At the free fermion point we present an exact finite-size formula for the density on the horizontal edges that relies on the imaginary time transfer matrix approach. In all cases where exact analytic forms for the density and the arctic curves are known the numerical method shows perfect agreement with them. This also suggests the possibility of its use for accurate quantitative purposespt_BR
dc.identifier.citationLYBERG, I; KOREPIN, V; VITI, J. The density profile of the six vertex model with domain wall boundary conditions. Journal Of Statistical Mechanics: Theory and Experiment, [S.L.], v. 2017, n. 5, p. 053103, 8 maio 2017. Disponível em: https://iopscience.iop.org/article/10.1088/1742-5468/aa6b20. Acesso em: 18 ago. 2020. http://dx.doi.org/10.1088/1742-5468/aa6b20pt_BR
dc.identifier.doi10.1088/1742-5468/aa6b20
dc.identifier.issn1742-5468
dc.identifier.urihttps://repositorio.ufrn.br/handle/123456789/30329
dc.languageenpt_BR
dc.publisherIOP Publishingpt_BR
dc.subjectIntegrable spin chains and vertex modelspt_BR
dc.subjectClassical Monte Carlo simulationspt_BR
dc.subjectCorrelation functionspt_BR
dc.titleThe density profile of the six vertex model with domain wall boundary conditionspt_BR
dc.typearticlept_BR

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