Bond operator theory for the frustrated anisotropic Heisenberg antiferromagnet on a square lattice

The quantum anisotropic antiferromagnetic Heisenberg model with single ion anisotropy, spin S=1 and up to the next-next-nearest neighbor coupling (the J1–J2–J3 model) on a square lattice, is studied using the bond-operator formalism in a mean field approximation. The quantum phase transitions at zer...

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Bibliographic Details
Published in:Journal of magnetism and magnetic materials 2012-07, Vol.324 (13), p.2082-2085
Main Author: Pires, A.S.T.
Format: Article
Language:English
Subjects:
Anisotropy
Antiferromagnet
Approximation
Bonding
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Exact sciences and technology
Formalism
General theory and models of magnetic ordering
Heisenberg model
Lattices
Magnetic properties and materials
Mathematical analysis
Phase diagrams
Physics
Quantum phase transition
Vectors (mathematics)
XY model
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Summary:The quantum anisotropic antiferromagnetic Heisenberg model with single ion anisotropy, spin S=1 and up to the next-next-nearest neighbor coupling (the J1–J2–J3 model) on a square lattice, is studied using the bond-operator formalism in a mean field approximation. The quantum phase transitions at zero temperature are obtained. The model features a complex T=0 phase diagram, whose ordering vector is subject to quantum corrections with respect to the classical limit. The phase diagram shows a quantum paramagnetic phase situated among Neél, spiral and collinear states. ► The quantum phase transition at zero temperature is studied. ► The phase diagram up to the next-next-nearest neighbor coupling is calculated. ► The energy gap is calculated in several regions of the phase diagram.
ISSN:0304-8853
DOI:10.1016/j.jmmm.2012.02.008