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Order and disorder lines in systems with competing interactions. III. Exact results from stochastic crystal growth

Abstract

The methods presented in the first two articles of this series are simplified and generalized by growing stationary stochastic crystals from a given Ansatz layer. On the disorder trajectory the free energy, correlation functions, and multicritical points are calculated explicitly for a large class of models with competing interactions, including the staggered eight-vertex model, the general sixteen-vertex model, theq-state Potts model on a triangular lattice, a generalZ(q) model, and restricted spin glass models in two dimensions.

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Ruján, P. Order and disorder lines in systems with competing interactions. III. Exact results from stochastic crystal growth. J Stat Phys 34, 615–646 (1984). https://doi.org/10.1007/BF01018562

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  • DOI: https://doi.org/10.1007/BF01018562

Key words

  • Disorder lines
  • exact results
  • q-state spin models