BOUNDARY MAGNETIZATION OF A 2-DIMENSIONAL ISING-MODEL WITH INHOMOGENEOUS NEAREST-NEIGHBOR INTERACTIONS

An explicit formula for the boundary magnetization of a two-dimensional Ising model with a strip of inhomogeneous interactions is obtained by means of a transfer matrix mean-field method introduced by Lipowski and Suzuki. There is clear numerical evidence that the formula is exact. By taking the limit where the width of the strip approaches infinity and the interactions have well-defined bulk limits, I arrive at the boundary magnetization for a model which includes the Hilhorst-van Leeuwen model. The rich critical behavior of the latter magnetization is thereby rederived with little effort. © 1994 The American Physical Society.