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.
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On leave from and address after September 1, 1982: Institute for Theoretical Physics, Eötvös University, 1088 Budapest, Puskin U. 5–7, Hungary.
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Ruján, P. order and disorder lines in systems with competing interactions: II. The IRF model. J Stat Phys 29, 247–262 (1982). https://doi.org/10.1007/BF01020785
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DOI: https://doi.org/10.1007/BF01020785