Phase transitions in the spin-32 Blume-Emery-Griffiths model

A. Bakchich, A. Bassir and A. Benyoussef

Physica A: Statistical Mechanics and its Applications, 1993, vol. 195, issue 1, 188-196

Abstract: The spin-32 Ising model on the square lattice with nearest-neighbor ferromagnetic exchange interactions (both bilinear (J) and biquadratic (K)) and crystal-field interaction (Δ) is studied using a renormalization-group transformation in position-space based on the Migdal-Kadanoff recursion relations. The global phase diagram in (J, K, Δ) space (with J, K ⩾ 0) is found to have two surfaces of critical phase transitions and two surfaces of first-order phase transitions. These surfaces are variously bounded by an ordinary trictical line, an isolated critical line of end points, and a line of multicritical points. The global connectivity and local exponents of the thirteen separate fixed points underlying this quite complicated structure are determined.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:195:y:1993:i:1:p:188-196

DOI: 10.1016/0378-4371(93)90262-3

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