Mt. Batchelor et al., SURFACE CRITICAL-BEHAVIOR OF AN O(N) LOOP MODEL RELATED TO 2 MANHATTAN LATTICE WALK PROBLEMS, Journal of physics. A, mathematical and general, 28(4), 1995, pp. 839-852
We find and discuss the scaling dimensions of the branch 0 manifold of
the Nienhuis O(n) loop model an the square lattice, concentrating on
the surface dimensions. The results are extracted from a Bethe ansatz
calculation of the finite-size corrections to the eigenspectrum of the
six-vertex model with free boundary conditions. These results are esp
ecially interesting for polymer physics at two values of the crossing
parameter lambda. Interacting self-avoiding walks on the Manhattan lat
tice at the collapse temperature (lambda = pi/3) and Hamiltonian walks
on the Manhattan lattice (lambda = pi/2) are discussed in detail. Our
calculations illustrate the importance of examining both odd and even
strip widths when performing finite-size correction calculations to o
btain scaling dimensions.