Random field effects on the isotropic quantum Heisenberg model with Gaussian random magnetic field distribution

Abstract

Effect of Gaussian random magnetic field distribution which is centered at zero on the phase transition properties of isotropic quantum Heisenberg model has been investigated on two (2D) and three dimensional (3D) lattices within the framework of effective field theory (EFT) for a two spin cluster (which is abbreviated as EFT-2). Beside the phase diagrams and the evolution of the magnetization versus temperature curves with the Gaussian magnetic field distribution width, critical Gaussian distribution width values, which make the critical temperature zero, have been obtained for several lattices. Moreover, it has been concluded that all critical temperatures are of the second order and reentrant behavior does not exist in the phase diagrams.

9 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:1211.0893

References in corpus (4)

• First-order transition features of the 3D bimodal random-field Ising model
• Destruction of first-order phase transition in a random-field Ising model
• Multicritical Behavior in a Random-Field Ising Model under a Continuous-Field Probability Distribution
• Critical Behavior of the 3D anisotropic quantum Heisenberg model in a trimodal random field distribution