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Boundary polarization in the six-vertex model | N M Bogoliubov
; A V Kitaev
; M B Zvonarev
; | Date: |
31 Jan 2002 | Journal: | Phys Rev E, 65 (2 Pt 2), 026126 | 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. | Source: | PubMed, pmid11863606 | Other source: | [GID 175340] cond-mat/0107146 | Services: | Forum | Review | Favorites |
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