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Physica A Statistical Mechanics and its Applications

Quantum spin- two-dimensional XXZ model: an alternative quantum renormalization-group approach

J. Ricardo de Sousa, N. S. Branco, B. Boechat, Claudette E. Cordeiro

Published Jul 16, 2003• 18 citations
Publisher
DOI
10.1016/s0378-4371(03)00544-2

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For the isotropic Heisenberg model with an arbitrary spin 5, the correlation exponent l/ defined by ~ ~ T-v near the critical point Tc=O is evaluated as l/=1 with the use of the real space renormalization group method.This yields y=2 for the susceptibility exponent y defined by Xo~ T-r , using the scaling relation y=l + (2-1]) l/= 1 + l/.Our general result y=2 for all values of spin 5 includes Fisher's result in the classical limit 5-->00.For the anisotropic Heisenberg model (XXZ model) with a spin 5=1/2, an anisotropy scaling law is derived.