Position space renormalization group study of the spin-1 random semi-infinite Blume–Capel model

Mohammed El Bouziani, Abou Gaye and Ahmed Jellal

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 4, 689-701

Abstract: We study the spin-1 Blume–Capel model under a random crystal field in the tridimensional semi-infinite case. This has been done by using the real-space renormalization group approximation and specifically the Migdal–Kadanoff technique. Interesting results are obtained, which tell us that the randomness destroys the first order phase transitions and only those of the second order occur. We give the list of nine fixed points and their topology describing the surface critical behavior. Five new types of phase diagram are found with a rich variety of phase transitions, in accordance with the values of the bulk and surface probabilities and the ratios linking bulk and surface interactions.

Keywords: Semi-infinite; Surface transitions; Blume–Capel; Random crystal field; Phase diagrams; Renormalization group (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:4:p:689-701

DOI: 10.1016/j.physa.2012.10.007

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