Multicritical Points And Reentrant Phenomenon In The BEG Model

Details Multicritical Points And Reentrant Phenomenon In The BEG Model Multicritical Points And Reentrant Phenomenon In The BEG Model

1992-09-18

arxiv.org/abs/cond-mat/9209023v1

Physics

Condensed Matter

14 pages, figures available upon request

Scientific paper

10.1016/0378-4371(92)90141-C

The Blume - Emery - Griffiths model is investigated by use of the cluster variation method in the pair approximation. We determine the regions of the phase space where reentrant phenomenon takes place. Two regions are found, depending on the sign of the reduced quadrupole - quadrupole coupling strength $\xi$. For negative $\xi$ we find Para-Ferro-Para and Ferro-Para-Ferro-Para transition sequences; for positive $\xi$, a Para$_-$-Ferro-Para$_+$ sequence. Order parameters, correlation functions and specific heat are given in some typical cases. By-products of this work are the equations for the critical and tricritical lines.

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