Directed-loop Monte Carlo simulations of vertex models

Details Directed-loop Monte Carlo simulations of vertex models Directed-loop Monte Carlo simulations of vertex models

2004-01-25

arxiv.org/abs/cond-mat/0401491v2

Phys. Rev. E 70, 016118 (2004)

Physics

Condensed Matter

Statistical Mechanics

Extended version with autocorrelations and more figures. Added 2 references

Scientific paper

10.1103/PhysRevE.70.016118

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.

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