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

Abstract

The real-space renormalization group approach is applied to study critical temperatures of a system consisting of interacting spin chains of spin S = 1, with an inner antiferromagnetic exchange, which form a honeycomb crystal lattice. Using the anisotropic Heisenberg model we calculate the critical temperature as a function of the anisotropic parameter and the ratio of the interchain and intrachain interactions. A comparison our results with those obtained from RSRG calculations for the same model of spin-1/2 on a square lattice is given. © 2005 IOP Publishing Ltd.