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.

New topologies in the phase diagram of the semi-infinite Blume-Capel Model / Buzano, Carla; Pelizzola, Alessandro. - In: PHYSICA. A. - ISSN 0378-4371. - 216:(1995), pp. 158-168. [10.1016/0378-4371(95)00058-F]

New topologies in the phase diagram of the semi-infinite Blume-Capel Model

BUZANO, Carla;PELIZZOLA, ALESSANDRO
1995

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.
1995
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1397840
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