Linked-cluster series analysis of the Blume-Capel model

1 May 1984

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

Vol. 29 (9) , 5156-5164
https://doi.org/10.1103/physrevb.29.5156

Abstract

Linked-cluster series have been obtained for the Blume-Capel model in an fcc lattice to the eighth order. We show that the linked-cluster series aided by the standard extrapolation techniques provide an effective method in the study of models which display first-order phase transitions as well as second-order phase transitions. The full phase diagram and the tricritical phenomena have been studied. Results are compared with those of the Monte Carlo simulation and the high-temperature and low-temperature series analysis.

Keywords

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