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Lifshitz points in ising systems |
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| Authors: | R. M. Hornreich R. Liebmann H. G. Schuster W. Selke |
| Affiliation: | (1) Department of Electronics, Weizmann Institute of Science, Rehovot, Israel;(2) Institut für Theoretische Physik, Universität Frankfurt/Main, Robert-Mayer-Straße 8, D-6000 Frankfurt/Main 1, Federal Republic of Germany;(3) Department of Chemistry, Cornell University, 14853 Ithaca, New York, USA;(4) Present address: Dept. of Physics, Boston University, 02215 Boston, Mass., USA;(5) Institut für Theoretische Physik, Universität, 6600 Saarbrücken, Federal Republic of Germany |
| Abstract: | Phase diagrams of Ising systems with competing interactions are calculated using (a) the method of Müller-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 dimensiondl for a Lifshitz point in a system with identical competing interactions along each of its cartesian axis isdl 2. |
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