Kelland, Stewart Beaton
This thesis deals with two two-dimensional
lattice models in statistical mechanics. The first of
these is the zero-field 20-vertex model on a triangular
lattice. This model is the analogue to the ice-type,
zero-field six-vertex model on a square lattice. We solve
this problem exactly for a restricted set of vertex weights.
The other model is the q-component Potts model on a square
lattice. This model is equivalent to a staggered ice-type
model on a square lattice. Using a variational...[Show more]
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