dc.creatorLyberg, I.
dc.creatorKorepin, V.
dc.creatorViti, Jacopo
dc.date2020-10-08T22:12:00Z
dc.date2020-10-08T22:12:00Z
dc.date2017-05-08
dc.identifierLYBERG, 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/aa6b20
dc.identifier1742-5468
dc.identifierhttps://repositorio.ufrn.br/handle/123456789/30329
dc.identifier10.1088/1742-5468/aa6b20
dc.descriptionWe 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 purposes
dc.languageen
dc.publisherIOP Publishing
dc.subjectIntegrable spin chains and vertex models
dc.subjectClassical Monte Carlo simulations
dc.subjectCorrelation functions
dc.titleThe density profile of the six vertex model with domain wall boundary conditions
dc.typearticle


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