Geometric Upper Critical Dimensions of the Ising Model  

作　　者：Sheng Fang Zongzheng Zhou Youjin Deng 方胜;周宗政;邓友金(Hefei National Research Center for Physical Sciences at the Microscales,University of Science and Technology of China,Hefei 230026,China;MinJiang 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)

机构地区：[1]Hefei National Research Center for Physical Sciences at the Microscales,University of Science and Technology of China,Hefei 230026,China [2]MinJiang Collaborative Center for Theoretical Physics,College of Physics and Electronic Information Engineering,Minjiang University,Fuzhou 350108,China [3]ARC Centre of Excellence for Mathematical and Statistical Frontiers(ACEMS),School of Mathematics,Monash University,Clayton,Victoria 3800,Australia [4]Shanghai Research Center for Quantum Sciences,Shanghai 201315,China

出　　处：《Chinese Physics Letters》2022年第8期11-15,共5页中国物理快报（英文版）

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(d_(c)=4,d_(p)=6),and critical clusters for d≥d_(p),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.

关 键 词：DIMENSIONS CRITICAL ISING 

分 类 号：O41[理学—理论物理]