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Physical Review E

Order-disorder quantum phase transition in the quasi-one-dimensional spin-1/2 collinear antiferromagnetic Heisenberg model

S. Rufo, Griffith Mendonça, J. A. Plascak, J. Ricardo de Sousa

Published Sep 20, 2013• 6 citations
Publisher

Abstract

The ground-state properties of the quasi-one-dimensional spin-$1/2$ antiferromagnetic Heisenberg model is investigated by using a variational method. Spins on chains along the $x$ direction are antiferromagnetically coupled with exchange $J>0$, while spins between chains in the $y$ direction are coupled either ferromagnetically (${J}^{\ensuremath{'}}<0$) or antiferromagnetically (${J}^{\ensuremath{'}}>0$). The staggered and the colinear antiferromagnetic magnetizations are computed and their dependence on the anisotropy parameter $\ensuremath{\lambda}=|{J}^{\ensuremath{'}}|/J$ is analyzed. It is found that an infinitesimal interchain coupling parameter is sufficient to stabilize a long-range order with either a staggered magnetization ${m}_{s}$ (${J}^{\ensuremath{'}}>0$) or a colinear antiferromagnetic magnetization ${m}_{caf}$ (${J}^{\ensuremath{'}}<0$), both behaving as $\ensuremath{\simeq}{\ensuremath{\lambda}}^{1/2}$ for $\ensuremath{\lambda}\ensuremath{\rightarrow}0$.

DOI
10.1103/physreve.88.034101

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