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Mathematics Research Report MRR95-089
An Ising Model In A Magnetic Field With A Boundary
M. T. Batchelor, V. Fridkin and Y.-K. Zhou
Abstract:
We obtain the diagonal reflection matrices for a recently introduced
family of dilute AL lattice models in which the
A3 model can be viewed as an Ising model in a magnetic
field.
We calculate the surface free energy from the crossing-unitarity
relation and thus directly obtain
the critical magnetic surface exponent \deltas for
L odd and
surface specific heat exponent for L even
in each of the various regimes.
For L=3 in the appropriate regime we obtain the Ising exponent
\deltas=-15/7,
which is the first determination of this exponent
without the use of scaling relations.
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