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 whith easy-plane spin ordering. We determine the relevant critical exponents which have a mean-field character for any d and S.
Quantum criticality of a d-dimensional spin S XXZ ferromagnetic model with longitudinal infinite-range interactions / Campana, LUIGI SALVATORE; L., De Cesare; Esposito, Ugo. - In: PHYSICS LETTERS A. - ISSN 0375-9601. - STAMPA. - 364:(2007), pp. 194-199. [10.1016/j.physleta.2006.12.002]
Quantum criticality of a d-dimensional spin S XXZ ferromagnetic model with longitudinal infinite-range interactions
CAMPANA, LUIGI SALVATORE;ESPOSITO, UGO
2007
Abstract
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 whith easy-plane spin ordering. We determine the relevant critical exponents which have a mean-field character for any d and S.File | Dimensione | Formato | |
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