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Three-component model and tricritical points: A renormalization-group study. Two dimensions

Physical Review B, ISSN: 0163-1829, Vol: 23, Issue: 7, Page: 3448-3459
1981
  • 98
    Citations
  • 0
    Usage
  • 10
    Captures
  • 3
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    98
    • Citation Indexes
      98
  • Captures
    10
  • Mentions
    3
    • References
      3
      • Wikipedia
        3

Article Description

The global phase diagram for a three-component lattice gas or spin-one Ising model with general single-site and nearest-neighbor "ferromagnetic" interactions is worked out for two-dimensional lattices using a Migdal-Kadanoff recursion relation. It differs in important qualitative respects from the corresponding mean-field phase diagram. The set of fixed points and flows provides the characteristic phase diagrams of the three-state Potts multicritical point and the ordinary (n=1) tricritical point in a complete set of symmetry-breaking fields. The latter is associated, in this renormalization-group scheme, with seven distinct critical fixed points, a number which is surprisingly large. © 1981 The American Physical Society.

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