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Introduction to solvable lattice models in statistical

Author: Tetsuo Deguchi
Url: http://babbage.sissa.it/abs/cond-mat/0304309
Format: Ps, Pdf
Category: Statistical Mechanics
Clicks: 1823

Some features of integrable lattice models are reviewed for the case of the six-vertex model. By the Bethe ansatz method we derive the free energy of the six-vertex model. Then, from the expression of the free energy we show analytically the critical singularity near the phase transition in the anti-ferroelectric regime, where the essential singularity similar to the Kosterlitz-Thouless transition appears. We discuss the connection of the six-vertex model to the conformal field theory with c=1. We also introduce various exactly solvable models defined on two-dimensional lattices such as the chiral Potts model and the IRF models.

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