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

Pavel Belov; Nicolai Reshetikhin

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arXiv · 2012.05182

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

Pavel Belov·Nicolai Reshetikhin

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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 ($\Delta=0$), 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 ($|\Delta|<1$) phase and to monitor the logarithm-like behavior of correlation functions there. For the antiferroelectric ($\Delta<-1$) phase, the exponential decrease of correlation functions is observed.

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Pavel Belov, Nicolai Reshetikhin. 2020-12-09. The two-point correlation function in the six-vertex model. https://arxiv.org/abs/2012.05182

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