The two-point correlation function in the six-vertex model

2020/12/09 by Belov, Pavel, Reshetikhin, Nicolai · 1 citation
#Computational Physics (physics.comp-ph) #FOS: Physical sciences #Mathematical Physics (math-ph) #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2012.05182

Abstract

We study numerically the two-point correlation functions of height functions in the six-vertex model with domain wall boundary conditions. The correlation functions and the height functions are computed by the Markov chain Monte-Carlo algorithm. Particular attention is paid to the free fermionic point (Δ=0), for which the correlation functions are obtained analytically in the thermodynamic limit. A good agreement of the exact and numerical results for the free fermionic point allows us to extend calculations to the disordered (|Δ|<1) phase and to monitor the logarithm-like behavior of correlation functions there. For the antiferroelectric (Δ

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• Explicit correlation functions for the six-vertex model in the free-fermion regime

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