文献类型：期刊文献

英文题名：Three-state Potts model on the centered triangular lattice

作者：Fu, Zhe[1];Guo, Wenan[2,3];Blote, Henk W. J.[4]

第一作者：付喆

通讯作者：Guo, WN[1];Guo, WN[2]

机构：[1]Xinxiang Univ, Coll Phys & Elect Engn, Xinxiang 453003, Henan, Peoples R China;[2]Beijing Normal Univ, Phys Dept, Beijing 100875, Peoples R China;[3]Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China;[4]Leiden Univ, Inst Lorentz, POB 9506, NL-2300 RA Leiden, Netherlands

第一机构：新乡学院物理与电子工程学院

通讯机构：[1]corresponding author), Beijing Normal Univ, Phys Dept, Beijing 100875, Peoples R China;[2]corresponding author), Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China.

年份：2020

卷号：101

期号：1

外文期刊名：PHYSICAL REVIEW E

收录：;EI(收录号：20200408068904);Scopus(收录号：2-s2.0-85078563452);WOS:【SCI-EXPANDED(收录号:WOS:000507535400001)】；

基金：Z.F. would like to thank C. X. Ding, and W.G. would like to thank F. Y. Wu for valuable discussions. This research was supported by the National Natural Science Foundation of China under Grants No. 11775021, No. 11734002, and No. 11447154, by the Ninth Group of Key Disciplines in Henan Province under Grant No. 2018119, and by the Natural Science Foundation of the Henan Department of Education under Grant No. 18B430012. H.B. acknowledges hospitality extended to him by the Faculty of Physics of the Beijing Normal University.

语种：英文

外文关键词：Monte Carlo methods - Phase diagrams - Transfer matrix method

摘要：We study phase transitions of the Potts model on the centered-triangular lattice with two types of couplings, namely, K between neighboring triangular sites, and J between the centered and the triangular sites. Results are obtained by means of a finite-size analysis based on numerical transfer-matrix calculations and Monte Carlo simulations. Our investigation covers the whole (K, J) phase diagram, but we find that most of the interesting physics applies to the antiferromagnetic case K < 0, where the model is geometrically frustrated. In particular, we find that there are, for all finite J, two transitions when K is varied. Their critical properties are explored. In the limits J -> +/-infinity we find algebraic phases with infinite-order transitions to the ferromagnetic phase.