Quantum phase transitions in the anisotropic three dimensional XY model

A.S.T. Pires and B.V. Costa

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 18, 3779-3784

Abstract: In this paper we study the quantum phase transition in a three-dimensional XY model with single-ion anisotropy D and spin S=1. The low D phase is studied using the self consistent harmonic approximation, and the large D phase using the bond operator formalism. We calculate the critical value of the anisotropy parameter where a transition occurs from the large-D phase to the Néel phase. We present the behavior of the energy gap, in the large-D phase, as a function of the temperature. In the large D region, a longitudinal magnetic field induces a phase transition from the singlet to the antiferromagnetic state, and then from the AFM one to the paramagnetic state.

Keywords: XY model; Quantum phase transitions (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:18:p:3779-3784

DOI: 10.1016/j.physa.2009.06.009

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