Magnetic behavior of a spin-1 Blume-Emery-Griffiths model

Details Magnetic behavior of a spin-1 Blume-Emery-Griffiths model Magnetic behavior of a spin-1 Blume-Emery-Griffiths model

2009-09-29

arxiv.org/abs/0909.5433v1

J. Phys.: Conference Series 200, 022030 (2010)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures. ICM 2009 (Karlsruhe) Conference proceedings

Scientific paper

10.1088/1742-6596/200/2/022030

I study the one-dimensional spin-1 Blume-Emery-Griffiths model with bilinear and biquadratic exchange interactions and single-ion crystal field under an applied magnetic field. This model can be exactly mapped into a tight-binding Hubbard model - extended to include intersite interactions - provided one renormalizes the chemical and the on-site potentials, which become temperature dependent. After this transformation, I provide the exact solution of the Blume-Emery-Griffiths model in one dimension by means of the Green's functions and equations of motion formalism. I investigate the magnetic variations of physical quantities - such as magnetization, quadrupolar moment, susceptibility - for different values of the interaction parameters and of the applied field, focusing on the role played by the biquadratic interaction in the breakdown of the magnetization plateaus.

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