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: | |
本文献已被 ScienceDirect 等数据库收录! |
|