Crossover exponent for polymer adsorption in two dimensions.

Abstract

In view of conflicting results for the crossover exponent, we extend our earlier transfer-matrix calculations for the adsorption of self-avoiding walks at the boundary of a semi-infinite square lattice. Analyzing strips with both one and two adsorbing edges, we obtain exp(\ensuremath{\epsilon}/${\mathit{kT}}_{\mathit{a}}$)=2.041\ifmmode\pm\else\textpm\fi{}0.002 for the critical temperature and \ensuremath{\varphi}=0.500\ifmmode\pm\else\textpm\fi{}0.003 for the crossover exponent. The latter result is in excellent agreement with the prediction \ensuremath{\varphi}=1/2 of conformal invariance.