Phase transitions in self-dual Ising models with multispin interactions and a field

Publisher Website
Google Scholar
Abstract
We investigate some two- and three-dimensional Ising models with multispin interactions and a field, by means of Monte Carlo simulations. The phase diagram of these models contains a self-dual line, along which we have searched for the presence of a phase transition. Both in two and three dimensions we give examples exhibiting a first-order transition along a part of the self-dual line. These first-order lines end in critical points, which are classified as Ising-type in terms of universality. A lattice-gas interpretation of these models clearly shows their similarity with gas-liquid systems.