Real-space renormalization group study of the anisotropic antiferromagnetic Heisenberg model of spin S=1 on a honeycomb lattice

TL;DR

This study applies real-space renormalization group methods to analyze the critical temperatures of a spin-1 antiferromagnetic Heisenberg model on a honeycomb lattice, exploring anisotropy effects and comparing with spin-1/2 models.

Contribution

It extends real-space RG analysis to spin-1 systems on a honeycomb lattice, providing new insights into critical temperature dependence on anisotropy and interaction ratios.

Findings

Critical temperature varies with anisotropic parameter.

Comparison shows differences between spin-1 and spin-1/2 models.

Results enhance understanding of phase transitions in honeycomb lattices.

Abstract

The real-space RG approach is applied to study critical temperatures of system consisting of interacting spin chains of spin S=1 with an inner antiferromagnetic exchange which form a honeycomb crystal lattice. Using anisotropic Heisenberg model we calculate critical temperature as a function of anisotropic parameter and the ratio of interchain and intrachain interactions. A comparison our results with those obtained from RGRS calculations for the same model of spin-1/2 on a square lattice is given.