典型文献
Geometric Upper Critical Dimensions of the Ising Model
文献摘要：
The upper critical dimension of the Ising model is known to be dc=4,above which critical behavior is regarded to be trivial.We hereby argue from extensive simulations that,in the random-cluster representation,the Ising model simultaneously exhibits two upper critical dimensions at(dc=4,dp=6),and critical clusters for d≥dp,except the largest one,are governed by exponents from percolation universality.We predict a rich variety of geometric properties and then provide strong evidence in dimensions from 4 to 7 and on complete graphs.Our findings significantly advance the understanding of the Ising model,which is a fundamental system in many branches of physics.
文献关键词：
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作者姓名：
Sheng Fang;Zongzheng Zhou;Youjin Deng
作者机构：
Hefei National Research Center for Physical Sciences at the Microscales,University of Science and Technology of China,Hefei 230026,China;Min Jiang Collaborative Center for Theoretical Physics,College of Physics and Electronic Information Engineering,Minjiang University,Fuzhou 350108,China;ARC Centre of Excellence for Mathematical and Statistical Frontiers(ACEMS),School of Mathematics,Monash University,Clayton,Victoria 3800,Australia;Shanghai Research Center for Quantum Sciences,Shanghai 201315,China
文献出处：
引用格式：
[1]Sheng Fang;Zongzheng Zhou;Youjin Deng-.Geometric Upper Critical Dimensions of the Ising Model)[J].中国物理快报（英文版）,2022(08):14-18
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