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

An explicit formula for the boundary magnetization of a two-dimensiona l Ising model with a strip of inhomogeneous interactions is obtained b y means of a transfer matrix mean-field method introduced by Lipowski and Suzuki. There is clear numerical evidence that the formula is exac t. By taking the limit where the width of the strip approaches infinit y and the interactions have well-defined bulk limits, I arrive at the boundary magnetization for a model which includes the Hilhorst-van Lee uwen model. The rich critical behavior of the latter magnetization is thereby rederived with little effort.