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Wang, C; Qin, SM; Zhou, HJ; 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.
Topologically invariant tensor renormalization group method for the Edwards-Anderson spin glasses model
Source PublicationPHYSICAL REVIEW B
Language英语
KeywordIsing-model Multicritical Point Belief Propagation Lattice Energy Dimensions Phase
AbstractTensor 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.
2014
ISSN1098-0121
Volume90Issue:17Pages:174201
Subject AreaPhysics
DOI10.1103/PhysRevB.90.174201
Indexed BySCI
Funding OrganizationNational 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] ; 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] ; 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] ; 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]
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Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/15579
CollectionSCI期刊论文
Corresponding AuthorWang, 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.
Recommended Citation
GB/T 7714
Wang, C,Qin, SM,Zhou, HJ,et al. Topologically invariant tensor renormalization group method for the Edwards-Anderson spin glasses model[J]. PHYSICAL REVIEW B,2014,90(17):174201.
APA Wang, C,Qin, SM,Zhou, HJ,&Wang, C .(2014).Topologically invariant tensor renormalization group method for the Edwards-Anderson spin glasses model.PHYSICAL REVIEW B,90(17),174201.
MLA Wang, C,et al."Topologically invariant tensor renormalization group method for the Edwards-Anderson spin glasses model".PHYSICAL REVIEW B 90.17(2014):174201.
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