Bond diluted anisotropic quantum Heisenberg model

TL;DR

This paper investigates how bond dilution affects the critical temperatures, phase diagrams, and magnetization in isotropic and anisotropic quantum Heisenberg models across different lattice structures, revealing phenomena like reentrant phase transitions.

Contribution

It provides detailed analysis of bond percolation thresholds and the impact of anisotropy on phase behavior in quantum Heisenberg models, including new reentrant phenomena.

Findings

Bond percolation thresholds determined for 2D and 3D lattices.

Anisotropy influences phase diagrams and critical temperatures.

Reentrant phase transitions observed in anisotropic models.

Abstract

Effects of the bond dilution on the critical temperatures, phase diagrams and the magnetization behaviors of the isotropic and anisotropic quantum Heisenberg model have been investigated in detail. For the isotropic case, bond percolation threshold values have been determined for several numbers of two (2D) and three (3D) dimensional lattices. In order to investigate the effect of the anisotropy in the exchange interaction on the results obtained for the isotropic model, a detailed investigation has been made on a honeycomb lattice. Some interesting results, such as second order reentrant phenomena in the phase diagrams have been found.