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Two-dimensional ising models with competing interaction—a Monte Carlo study
Authors:W. Selke  M. E. Fisher
Affiliation:1. Fachrichtung Theoretische Physik, Universit?t des Saarlandes, D-6600, Saarbrücken, Federal Republic of Germany
2. Baker Laboratory, Cornell University, 14853, Ithaca, New York, USA
Abstract:Two-dimensional Ising models on a square lattice with competing interactions along one axis or both axes are studied primarily by the Monte Carlo method. Several commensurate-incommensurate transitions are found. Dislocation-like configurations are identified near the sinusoidal — paramagnetic transition in accordance with the idea that the transition might be of Kosterlitz-Thouless, XY-like character.
Keywords:
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