arXiv:cond-mat/0107146 · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

Boundary polarization in the six-vertex model

N. M. Bogoliubov, Alexander V. Kitaev, Mikhail B. Zvonarev

Published Jan 18, 2002• 28 citations

Abstract

Vertical-arrow fluctuations near the boundaries in the six-vertex model on the two-dimensional NxN square lattice with the domain wall boundary conditions are considered. The one-point correlation function ("boundary polarization") is expressed via the partition function of the model on a sublattice. The partition function is represented in terms of standard objects in the theory of orthogonal polynomials. This representation is used to study the large N limit: the presence of the boundary affects the macroscopic quantities of the model even in this limit. The logarithmic terms obtained are compared with predictions from conformal field theory.

DOI: 10.1103/physreve.65.026126

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