Crossover of the antiferromagnet Heisenberg to XY model

J.Ricardo de Sousa, Ijanı́lio G Araújo and J.a Plascak

Physica A: Statistical Mechanics and its Applications, 2000, vol. 278, issue 1, 181-187

Abstract: The criticality of the quantum anisotropic spin-12 Heisenberg antiferromagnetic model is studied by the mean-field renormalization group (MFRG) approach. The critical temperature and the thermal exponent for the ferromagnetic (F) and antiferromagnetic (AF) cases are obtained as a function of the anisotropy parameter on a three-dimensional lattice. Particular attention is drawn to the difference between Tc (F case) and TN (AF case). It is shown that in the quantum XY limit Tc=TN, whereas TN>Tc for the anisotropic Heisenberg model. We have also shown that the thermal critical exponent yt presents a small dependence on the type of interaction (F or AF) due to finite size effects.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:278:y:2000:i:1:p:181-187

DOI: 10.1016/S0378-4371(99)00439-2

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