Phase transitions in coupledXY-Ising systems
- 25 February 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 66 (8) , 1090-1093
- https://doi.org/10.1103/physrevlett.66.1090
Abstract
We study the critical behavior of fully frustrated XY and Josephson-junction systems by means of a coupled XY-Ising model. From Monte Carlo and transfer-matrix calculations, we find separate XY and Ising and first-order transitions, depending on the parameters. In addition, a line of continuous transitions is found, with simulataneous loss of XY and Ising order and novel critical behavior. This result is supported by Monte Carlo simulations of frustrated XY models on square and triangular lattices.Keywords
This publication has 40 references indexed in Scilit:
- Monte Carlo study of a generalized-planar-model antiferromagnet with frustrationPhysical Review B, 1986
- Phase transitions in two-dimensional uniformly frustratedXY models. I. Antiferromagnetic model on a triangular latticeJournal of Statistical Physics, 1986
- Symmetry analysis and Monte Carlo study of a frustrated antiferromagnetic planar (XY) model in two dimensionsPhysical Review B, 1986
- Two-dimensional superconducting arrays in a magnetic field: Effects of lattice structuresPhysical Review B, 1985
- Topological defects in the fully frustrated XY model and in3He-A filmsJournal of Physics C: Solid State Physics, 1985
- Phase transitions in uniformly frustratedXYmodelsPhysical Review B, 1985
- Nature of the Phase Transition of the Two-Dimensional Antiferromagnetic Plane Rotator Model on the Triangular LatticeJournal of the Physics Society Japan, 1984
- Josephson-Junction Arrays in Transverse Magnetic FieldsPhysical Review Letters, 1983
- Phase transtions in frustrated two-dimensionalmodelsPhysical Review B, 1983
- Two-level systems in a spin-glass model. I. General formalism and two-dimensional modelJournal of Physics C: Solid State Physics, 1977