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Mathematics Research Report MRR95-043
Surface Critical Behaviour Of The Honeycomb O(n)
Loop
Model With Mixed Ordinary And Special Boundary Conditions
M.T. Batchelor and C.M. Yung
Abstract:
The O(n) loop model on the honeycomb lattice with mixed
ordinary and
special boundary
conditions is solved exactly by means of the Bethe ansatz. The calculation
of the
dominant finite-size corrections to the eigenspectrum yields the mixed
boundary scaling
index and the geometric scaling dimensions describing the universal surface
critical
behaviour. Exact results follow in the limit n=0 for the
polymer adsorption
transition with a mixed adsorbing and free boundary. These include the new
configurational exponent ${\gamma}_1 = \frac{85}{64}$.
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