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Mathematics Research Report MRR95-070
Surface Critical Phenomena In Interaction Round A Face Models
Yu-Kui Zhou and M. T. Batchelor
Abstract:
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 weights.
For the restricted SOS L-state models of Andrews, Baxter and
Forrester
the surface specific heat exponent is found to be
\alphas=2-(L+1)/4.
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