Quantum criticality of a d-dimensional spin- S XXZ ferromagnetic model with longitudinal infinite-range interactions

A d-dimensional spin- S XXZ ferromagnetic model with uniform long-range interactions in the z-direction is mapped into an effective XY model in a transverse field. Then, using the two-time Green function equation of motion method, the zero-temperature properties for a periodic cubic lattice are exac...

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Bibliographic Details
Published in:Physics letters. A 2007-04, Vol.364 (3), p.194-197
Main Authors: Campana, L.S., De Cesare, L., Esposito, U.
Format: Article
Language:English
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Summary:A d-dimensional spin- S XXZ ferromagnetic model with uniform long-range interactions in the z-direction is mapped into an effective XY model in a transverse field. Then, using the two-time Green function equation of motion method, the zero-temperature properties for a periodic cubic lattice are exactly obtained close to the quantum critical point signaling the field-induced quantum phase transition from the fully polarized state into a phase with easy-plane spin ordering. We determine the relevant critical exponents which have a mean-field character for any d and S.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2006.12.002