Random field effects on the anisotropic quantum Heisenberg model with Gaussian random magnetic field distribution
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, vol.392, no.19, pp.4380-4387, 2013 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 392 Issue: 19
- Publication Date: 2013
- Doi Number: 10.1016/j.physa.2013.05.040
- Journal Name: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.4380-4387
- Keywords: Quantum anisotropic Heisenberg model, Random magnetic field, Gaussian magnetic distribution
- Open Archive Collection: AVESIS Open Access Collection
- Dokuz Eylül University Affiliated: Yes
Abstract
The effect of a zero-centered Gaussian random magnetic field distribution on the phase transition properties of the anisotropic quantum Heisenberg model has been investigated on a honeycomb lattice within the framework of effective field theory (EFT) for a two-spin cluster (which is abbreviated as EFT-2). Particular attention has been devoted to investigation of the effect of the anisotropy in the exchange interaction on a system with Gaussian random magnetic field distribution. The variation of the critical temperature with the randomness parameter (i.e., the width of the distribution) has been obtained for several anisotropy parameters. Critical Gaussian distribution width values, which make the critical temperature zero, have been obtained. Moreover, it has been concluded that all critical temperatures are of second order, and that reentrant behavior does not exist in the phase diagrams. (C) 2013 Elsevier B.V. All rights reserved.