L. Samaj et Jk. Percus, NEW COLLECTIVE MODES OF INTERACTION NATURE IN INHOMOGENEOUS ISING NETWORKS, Journal of statistical physics, 73(1-2), 1993, pp. 235-251
We propose a vertex formulation of the Ising model with inhomogeneous
external field on multiconnected networks possessing a superbond struc
ture. The related technique based on gauge degrees of freedom enables
us to recognize new collective modes of interaction nature, which prov
ide an exact solution of the inverse profile problem and an explicit f
orm of a local free-energy functional on an extended magnetization-mod
e space. Application is made to a square strip.