Phase diagrams of the Blume-Emery-Griffiths model: real-space renormalization group investigation and finite size scaling analysis

A. Bakchich, A. Benyoussef and M. Touzani

Physica A: Statistical Mechanics and its Applications, 1992, vol. 186, issue 3, 524-533

Abstract: An approximate real-space renormalization group scheme based on the Migdal-Kadanoff recursion relations and the finite size scaling method are used to study the phase diagrams of the two-dimensional spin-1 Ising model with nearest-neighbor interactions, both bilinear and biquadratic, and with a crystal-field interaction. Contrary to previous studies, we clarify the behavior of the model at low temperature including the region J + K < 0 and Δ<0, where a staggered quadrupolar phase appears. With both methods we show that the staggered quadrupolar and the ferromagnetic phases are separated by a disordered phase, and the second-order phase boundary lines of the two ordered phases meet only at zero temperature.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:186:y:1992:i:3:p:524-533

DOI: 10.1016/0378-4371(92)90214-B

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