NEW TOPOLOGIES IN THE PHASE DIAGRAM OF THE SEMI-INFINITE BLUME-CAPEL MODEL

Abstract

The phase diagram of the Blume--Capel model on a semi--infinite simple cubic lattice with a (100) free surface is studied in the pair approximation of the cluster variation method. Six main topologies are found, of which two are new, due to the occurrence of a first order surface transition in the phase with ordered bulk, separating two phases with large and small surface order parameters. The latter is a new phase and is studied in some detail, giving the behaviour of the order parameter profiles in two typical cases. A comparison is made with the results of a low temperature expansion, where these are available, showing a great increase in accuracy with respect to the mean field approximation.

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References in corpus (3)

• Surface reentrance in the semi-infinite spin-1 Ising models
• Multicritical Points And Reentrant Phenomenon In The BEG Model
• Low-Temperature Expansion for a First Order Surface Transition

Cited by in corpus (5)

• Cluster Variation Method in Statistical Physics and Probabilistic Graphical Models
• Phase Diagrams of the Spin-1 Blume-Capel Film With an Alternating Crystal Field
• The Blume-Capel Model on Hierarchical Lattices: exact local properties
• Critical Exponents of the 3-dimensional Blume-Capel model on a cellular automaton
• Dynamic phase diagrams of the Blume-Capel model in an oscillating field by the path probability method