N. M. Bogoliubov, A. V. Kitaev, M. B. Zvonarev
Published 2001-07-06, updated 2002-01-21Version 3
Vertical-arrow fluctuations near the boundaries in the six-vertex model on the two-dimensional $N \times N$ 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.
Comments: 4 pages, RevTex, a misprint in Eq. (8) is corrected
Journal: Phys. Rev. E 65, 026126 (2002)
Thermodynamic limit of the Six-Vertex Model with Domain Wall Boundary Conditions
The entropy of the six-vertex model with variety of different boundary conditions
Fluctuation of the phase boundary in the six-vertex model with Domain Wall Boundary Conditions: a Monte Carlo study
