Order and disorder lines in systems with competing interactions. III. Exact results from stochastic crystal growth |
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Authors: | P Ruján |
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Institution: | (1) Institute for Theoretical Physics, Eötvös University, Puskin u. 5-7, H-1088 Budapest, Hungary |
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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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Keywords: | Disorder lines exact results q-state spin models |
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