Phase diagram of the Blume-Emery-Griffiths model on the honeycomb lattice calculated by the cluster-variation method

1 February 1993

journal article
research article
Published by American Physical Society (APS) in Physical Review B

Vol. 47 (5) , 2643-2647
https://doi.org/10.1103/physrevb.47.2643

Abstract

The cluster-variation method (CVM) is used to study the phase diagram of a spin-1 Ising model with both bilinear and biquadratic nearest-neighbor interactions and with a single-ion potential, on a honeycomb lattice. Since exact results are scarce for this model except for the honeycomb lattice, we argue that approximation schemes should be tested on this lattice. The results for the CVM compare favorably with the exact results. A comparison with other approximate techniques is made. Further, field-induced phase transitions are investigated.

Keywords

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