Phase transitions in the two-dimensional Anisotropic Biquadratic Heisenberg Model

In this paper we study the influence of the single-ion anisotropy in the two-dimensional biquadratic Heisenberg model (ABHM) on the square lattice at zero and finite low temperatures. It is common to represent the bilinear and biquadratic terms by J1=Jcosθ and J2=Jsinθ, respectively, and the many ph...

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Bibliographic Details
Published in:Journal of magnetism and magnetic materials 2014-05, Vol.357, p.45-52
Main Authors: Moura, A.R., Pires, A.S.T., Pereira, A.R.
Format: Article
Language:English
Subjects:
Algebra
Anisotropic Biquadratic Heisenberg Model
Anisotropy
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Decay
Direct current
Exact sciences and technology
General theory and models of magnetic ordering
Magnetic properties and materials
Mathematical analysis
Mathematical models
Phase transformations
Phase transition
Physics
SCHA
Schwinger boson
Two dimensional
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Summary:In this paper we study the influence of the single-ion anisotropy in the two-dimensional biquadratic Heisenberg model (ABHM) on the square lattice at zero and finite low temperatures. It is common to represent the bilinear and biquadratic terms by J1=Jcosθ and J2=Jsinθ, respectively, and the many phases present in the model as a function of θ are well documented. However we have adopted a constant value for the bilinear constant (J1=1) and small values of the biquadratic term (|J2|
ISSN:0304-8853
DOI:10.1016/j.jmmm.2014.01.006