Bilinear-biquadratic anisotropic Heisenberg model on a triangular lattice

Motivated by the fact that the study of disordered phases at zero temperature is of great interest, I study the spin-one quantum antiferromagnet with a next-nearest neighbor interaction on a triangular lattice with bilinear and biquadratic exchange interactions and a single ion anisotropy, using a S...

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Bibliographic Details
Published in:Journal of magnetism and magnetic materials 2013-08, Vol.340, p.97-101
Main Author: Pires, A.S.T.
Format: Article
Language:English
Subjects:
Anisotropy
Antiferromagnet
Antiferromagnetism
Bosons
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Critical-point effects, specific heats, short-range order
Direct current
Exact sciences and technology
General theory and models of magnetic ordering
Heisenberg model
Lattices
Magnetic properties and materials
Magnetism
Mathematical models
Phase transformations
Phases
Physics
Quantum phase transition
Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.)
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Summary:Motivated by the fact that the study of disordered phases at zero temperature is of great interest, I study the spin-one quantum antiferromagnet with a next-nearest neighbor interaction on a triangular lattice with bilinear and biquadratic exchange interactions and a single ion anisotropy, using a SU(3) Schwinger boson mean-field theory. I calculate the critical properties, at zero temperature, for values of the single ion anisotropy parameter D above a critical value DC, where a quantum phase transition takes place from a higher D disordered phase to a lower D ordered phase. •The quantum phase transition of the bilinear-biquadratic anisotropic antiferromagnet is studied.•The effect of competing interaction is analyzed.•The zero temperature phase diagram is obtained.
ISSN:0304-8853
DOI:10.1016/j.jmmm.2013.03.037