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

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 ${\gamma }_1=\frac{85}{64}$.

10 pages, revtex with epsf, 2 small figures (one in latex is included, the other is a separate uuencoded, gzip'ed .eps file)

References in corpus (1)

• Quasi Exactly Solvable 2$\times$2 Matrix Equations

Cited by in corpus (4)

• Tridiagonalization and the Heun equation
• Complex Periodic Potentials with a Finite Number of Band Gaps
• PT-Invariant Periodic Potentials with a Finite Number of Band Gaps
• Statistical Mechanics of Lamé Solitons