Surface critical behaviour of the honeycomb O(n) loop model with mixed ordinary and special boundary conditions

C M Yung; M T Batchelor

arxiv: cond-mat/9507010 · v2 · pith:W56MF2YFnew · submitted 1995-07-06 · ❄️ cond-mat · hep-th

Surface critical behaviour of the honeycomb O(n) loop model with mixed ordinary and special boundary conditions

M T Batchelor , C M Yung This is my paper

classification ❄️ cond-mat hep-th

keywords boundarymixedbehaviourconditionscriticalhoneycombloopmodel

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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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