Abstract
Phase diagrams of Ising systems with competing interactions are calculated using (a) the method of Muller-Hartmann and Zittartz to determine the transition temperature via the vanishing of an interface free energy (b) a Migdal-Kadanoff bond-moving scheme and (c) Monte Carlo simulations. It is shown that in two-dimensional Ising systems a uniaxial Lifshitz point can exist at non-zero temperatures, whereas the lower critical dimensiond l for a Lifshitz point in a system with identical competing interactions along each of its cartesian axis isd l ≧2.
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