Abstract
The authors show that it is possible to obtain information in the vicinity of disorder varieties. This can be achieved through a new systematic type of diagrammatic expansion, illustrated here on the anisotropic triangular Ising model. Non-perturbative methods can also be used to get an exact expression for some quantities, such as finite field correlation functions, magnetisation and susceptibility restricted to the disorder varieties. This last result confirms an exact result of Dhar and Maillard (ibid vol.18, p.1383, 1985).
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