Surface critical phenomena in interaction-round-a-face models
نویسندگان
چکیده
منابع مشابه
Surface critical phenomena in three-dimensional percolation.
Using Monte Carlo methods and finite-size scaling, we investigate surface critical phenomena in the bond-percolation model on the simple-cubic lattice with two open surfaces in one direction. We decompose the whole lattice into percolation clusters and sample the surface and bulk dimensionless ratios Q1 and Qb, defined on the basis of the moments of the cluster-size distribution. These ratios a...
متن کاملA Construction of Solutions to Reflection Equations for Interaction-Round-a-Face Models
We present a procedure in which known solutions to reflection equations for interactionround-a-face lattice models are used to construct new solutions. The procedure is particularly well-suited to models which have a known fusion hierarchy and which are based on graphs containing a node of valency 1. Among such models are the AndrewsBaxter-Forrester models, for which we construct reflection equ...
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A general scheme has been proposed to study the critical behaviour of integrable interaction-round-a-face models with fixed boundary conditions. It has been shown that the boundary crossing symmetry plays an important role in determining the surface free energy. The surface specific heat exponent can thus be obtained without explicitly solving the reflection equations for the boundary face weig...
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We use boundary weights and reflection equations to obtain families of commuting double-row transfer matrices for interaction-round-a-face models with fixed boundary conditions. In particular, we consider the fusion hierarchy of the Andrews-BaxterForrester models, for which we find that the double-row transfer matrices satisfy functional equations with an su(2) structure. July 24, 1995 1 . Intr...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1996
ISSN: 0550-3213
DOI: 10.1016/0550-3213(96)00115-0