Directed-loop Monte Carlo simulations of vertex models
We show how the directed-loop Monte Carlo algorithm can be applied to study vertex models. The algorithm is employed to calculate the arrow polarization in the six-vertex model with the domain wall boundary conditions (DWBC). The model exhibits spatially separated ordered and ``disordered''...
Main Authors: | , |
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Format: | Text |
Language: | unknown |
Published: |
arXiv
2004
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Subjects: | |
Online Access: | https://dx.doi.org/10.48550/arxiv.cond-mat/0401491 https://arxiv.org/abs/cond-mat/0401491 |
Summary: | We show how the directed-loop Monte Carlo algorithm can be applied to study vertex models. The algorithm is employed to calculate the arrow polarization in the six-vertex model with the domain wall boundary conditions (DWBC). The model exhibits spatially separated ordered and ``disordered'' regions. We show how the boundary between these regions depends on parameters of the model. We give some predictions on the behavior of the polarization in the thermodynamic limit and discuss the relation to the Arctic Circle theorem. : Extended version with autocorrelations and more figures. Added 2 references |
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