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题名: Topologically invariant tensor renormalization group method for the Edwards-Anderson spin glasses model
作者: Wang, C ;  Qin, SM ;  Zhou, HJ
刊名: PHYSICAL REVIEW B
出版日期: 2014
卷号: 90, 期号:17, 页码:174201
关键词: ISING-MODEL ;  MULTICRITICAL POINT ;  BELIEF PROPAGATION ;  LATTICE ;  ENERGY ;  DIMENSIONS ;  PHASE
学科分类: Physics
DOI: 10.1103/PhysRevB.90.174201
通讯作者: Wang, C (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Stat Phys, Zhong Guan Cun East Rd 55, Beijing 100190, Peoples R China.
部门归属: [Wang, Chuang
英文摘要: Tensor renormalization group (TRG) method is a real space renormalization group approach. It has been successfully applied to both classical and quantum systems. In this paper, we study a disordered and frustrated system, the two-dimensional Edwards-Anderson model, by a new topological invariant TRG scheme. We propose an approach to calculate the local magnetizations and nearest pair correlations simultaneously. The Nishimori multicritical point predicted by the topological invariant TRG agrees well with the recent Monte Carlo results. The TRG schemes outperform the mean-field methods on the calculation of the partition function. We notice that it might obtain a negative partition function at sufficiently low temperatures. However, the negative contribution can be neglected if the system is large enough. This topological invariant TRG can also be used to study three-dimensional spin glass systems.
资助者: National Basic Research Program of China [2013CB932804]; Knowledge Innovation Program of Chinese Academy of Sciences [KJCX2-EW-J02]; National Science Foundation of China (NSFC) [11121403, 11225526]
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000344914700002
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/15579
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Recommended Citation:
Wang, C,Qin, SM,Zhou, HJ. Topologically invariant tensor renormalization group method for the Edwards-Anderson spin glasses model[J]. PHYSICAL REVIEW B,2014,90(17):174201.
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