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具有最近邻相互作用的一般三态格气模型在正方形格子上的基态图的完整目录。

Complete catalog of ground-state diagrams for the general three-state lattice-gas model with nearest-neighbor interactions on a square lattice.

机构信息

Department of Physics, Florida State University, Tallahassee, FL 32306-4350, USA.

出版信息

Phys Chem Chem Phys. 2019 Mar 13;21(11):6216-6223. doi: 10.1039/c8cp07721e.

DOI:10.1039/c8cp07721e
PMID:30829346
Abstract

The ground states of the general three-state lattice-gas (equivalently, S = 1 Ising) model with nearest-neighbor interactions on a square lattice are explored in the full, five-dimensional parameter space of three interaction constants and two generalized chemical potentials or fields. The complete catalog of fifteen topologically different ground-state diagrams (zero-temperature phase diagrams), which show the regions of stability of the different ground states in the full parameter space of the model, is obtained and discussed in both lattice-gas and Ising-spin language. The results extend those of a recent study in a reduced parameter space [V. F. Fefelov, et al., Phys. Chem. Chem. Phys., 2018, 20, 10359-10368], which identified six topologically different ground-state diagrams.

摘要

本文研究了最近邻相互作用的一般三态格气(等效地,S=1 伊辛)模型在正方形晶格上的基态在完整的、五个维度的三个相互作用常数和两个广义化学势或场的参数空间中。获得了完整模型参数空间中不同基态稳定性区域的十五个拓扑不同的基态图(零温相图)的完整目录,并在格气和伊辛自旋语言中进行了讨论。该结果扩展了最近在一个简化参数空间[V. F. Fefelov 等人,Phys. Chem. Chem. Phys.,2018,20,10359-10368]中的研究结果,该研究确定了六个拓扑不同的基态图。

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