Thermodynamics of two-dimensional XXZ easy-plane quantum Heisenberg magnets
- 15 April 1997
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 81 (8), 4137-4139
- https://doi.org/10.1063/1.365104
Abstract
We consider the quantum easy-plane (XXZ)magnet on the square lattice. In the classical case the system exhibits the Berezinskii–Kosterlitz–Thouless transition. Simulations, both for ferro- and antiferromagnets, using the method of the effective classical Hamiltonian, are made for different spin values and refer to the specific heat, the static spin correlation functions and correlation lengths in a broad range of temperatures, below and above the transition. The effects of quantum fluctuations are quantitatively evaluated and discussed.Keywords
This publication has 16 references indexed in Scilit:
- Quantum correction to the BKT transition for 2D easy-plane antiferromagnetsJournal of Applied Physics, 1996
- Quantum effects on the Berezinskii-Kosterlitz-Thouless transition in the ferromagnetic two-dimensionalXXZmodelPhysical Review B, 1995
- Quantum renormalization of the XY modelJournal of Applied Physics, 1994
- Quantum thermodynamics in classical phase spacePhysical Review A, 1992
- Could in-plane exchange anisotropy induce the observed antiferromagnetic transitions in the undoped high-materials?Physical Review Letters, 1992
- Reply to ‘‘Comment on ‘Kosterlitz-Thouless transition in the two-dimensional quantumXYmodel’ ’’Physical Review B, 1992
- Phase transition and thermodynamics of quantumXYmodel in two dimensionsPhysical Review B, 1992
- Kosterlitz-Thouless transition in the two-dimensional quantumXYmodelPhysical Review B, 1990
- Monte Carlo study of the planar spin modelPhysical Review B, 1979
- Quantum theory of one- and two-dimensional ferro- and antiferromagnets with an easy magnetization plane . I. ideal 1-d or 2-d lattices without in-plane anisotropyJournal de Physique, 1974