Renormalization-group calculations for a mixed-spin Ising model

S.G.A. Quadros and S.R. Salinas

Physica A: Statistical Mechanics and its Applications, 1994, vol. 206, issue 3, 479-496

Abstract: We use real- and momentum-space renormalization-group techniques to obtain the phase diagram of a mixed-spin Ising model (spin-12 and spin-1) in the presence of a crystal field. A detailed analysis of the fixed points and the flow diagrams of the Migdal-Kadanoff real-space renormalization-group recursion relations indicates the presence of a tricritical point above two dimensions. On the basis of an effective Hamiltonian in terms of continuous spin fields, we perform momentum-space calculations to confirm the existence of this tricritical point in three dimensions. We also present some exact results in one and two dimensions as well as a new mean-field calculation.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:206:y:1994:i:3:p:479-496

DOI: 10.1016/0378-4371(94)90319-0

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