Physics – Condensed Matter
Scientific paper
1994-10-24
Physics
Condensed Matter
11 pages, REVTEX. Minor corrections made and a new reference added to the O(n) model with mixed boundary conditions - final ve
Scientific paper
10.1103/PhysRevLett.74.2026
We derive the exact critical couplings ($x^*, y_{\rm a}^*$), where $y_{\rm a}^*/x^* = \sqrt{1+\sqrt2} = 1.533\ldots\,$, for the polymer adsorption transition on the honeycomb lattice, along with the universal critical exponents, from the Bethe Ansatz solution of the O($n$) loop model at the special transition. Our result for the thermal scaling dimension, and thus the crossover exponent $\phi=\frac{1}{2}$, is in agreement with an earlier result based on conformal invariance arguments. Our result for the geometric scaling dimensions confirms recent conjectures that they are given by $h_{\ell+1,3}$ in the Kac formula.
Batchelor Murray T.
Yung Chong Ming
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