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Article overview
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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 | Abstract: | Vertical-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 | Services: | Forum | Review | PDF | Favorites |
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