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28 March 2024
 
  » arxiv » cond-mat/0107146

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Boundary polarization in the six-vertex model
N. M. Bogoliubov ; A. V. Kitaev ; M. B. Zvonarev ;
Date 6 Jul 2001
Journal Phys. Rev. E 65, 026126 (2002)
Subject Statistical Mechanics; Mathematical Physics; Exactly Solvable and Integrable Systems | cond-mat.stat-mech math-ph math.MP nlin.SI
AbstractVertical-arrow fluctuations near the boundaries in the six-vertex model on the two-dimensional $N imes N$ 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.
Source arXiv, cond-mat/0107146
Other source [GID 175340] pmid11863606
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