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Z(4) model: Criticality and break-collapse method

Physical Review B, ISSN: 0163-1829, Vol: 32, Issue: 9, Page: 6055-6057
1985
  • 23
    Citations
  • 0
    Usage
  • 3
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    23
    • Citation Indexes
      23
  • Captures
    3

Article Description

Within a real-space renormalization-group (RG) framework, we study the criticality of the Z(4) ferromagnet on the square lattice. The phase diagram (exhibiting ferromagnetic, paramagnetic, and nematiclike phase) recovers all the available exact results, and possibly is of high precision everywhere. In particular, we establish the main asymptotic behaviors (bifurcation and Ising regions). In addition, we develop an operational procedure (break-collapse method) which considerably simplifies the exact calculation of arbitrary Z(4) two-terminal clusters (commonly appearing in RG approaches). © 1985 The American Physical Society.

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