Journal of Statistical Physics

, Volume 29, Issue 2, pp 247–262 | Cite as

order and disorder lines in systems with competing interactions: II. The IRF model

  • P. Ruján
Articles

Abstract

Systems with competing interactions can be often exactly solved on a restricted subspace of the parameter space, called an order or disorder trajectory. A simple method introduced within the transfer matrix formalism allows for the calculation of the free energy and spin-spin correlation functions along the order and disorder lines of the Ising model with all possible interactions around a face of the square lattice (IRF model). The general eight-vertex model is thoroughly examined and shows full analogy with the quantum spin chain results of the previous paper.

Key words

Eight-vertex model interactions around a face order and disorder lines transfer matrix 

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Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • P. Ruján
    • 1
  1. 1.Northeastern UniversityBoston

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