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Low dimensional ordering on a lattice model
Affiliation:1. Henan Academy of Big Data, Zhengzhou University, Zhengzhou, 450001, China;2. School of Business, Macau University of Science and Technology, Macau, China
Abstract:
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.
Keywords:
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