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Renormalization-group calculations for a mixed-spin Ising model

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  • Quadros, S.G.A.
  • Salinas, S.R.

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.

Suggested Citation

  • Quadros, S.G.A. & Salinas, S.R., 1994. "Renormalization-group calculations for a mixed-spin Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(3), pages 479-496.
    • Handle: RePEc:eee:phsmap:v:206:y:1994:i:3:p:479-496
    DOI: 10.1016/0378-4371(94)90319-0
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    1. Griffiths, Mary, 1977. "Nutrition : Second European nutrition conference, Munich, 14-17 September 1976," Food Policy, Elsevier, vol. 2(1), pages 76-77, February.
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