ar X iv : c on d - m at / 9 70 10 47 v 1 8 J an 1 99 7 Low Dimensional Ordering on a Lattice Model Fabio
نویسنده
چکیده
A simple d-dimensional lattice model is proposed, incorporating some degree of frustration and thus capable of describing some aspects of molecular orientation in covalently bound molecular solids. For d = 2 the model is shown to be equivalent to the standard two-dimensional Ising model, while for d > 2 it describes a peculiar transition from an isotropic high temperature phase to a low-dimensional anisotropic low temperature state. A general mean field analysis is presented and compared to some exact limit properties. Key words: lattice-model, mean-field, phase transition.
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