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VOLUME 44 (1986) | ISSUE 3 | PAGE 105
Exact solution of the Ising model on a random two-dimensional lattice
The Ising model on a set of plane lattices with a coordination number of 4, over which a summation is a new dynamic degree of freedom, reduces to an exactly solvable two-matrix model in the limit N^> oo. At a temperature Tc = l/ln2, a third-order phase transition occurs in the model. This transition corresponds to a spontaneous ordering of the spins. There is a formal correspondence between this model and a zero-dimensional fermion string.