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Geometric phase and topological phase diagram of the one-dimensional XXZ Heisenberg spin chain in a longitudinal field
Liao, Yi1,2; Gong XB(龚小波)3; Guo, Chu4; Chen, Ping-Xing1,2
Source PublicationJOURNAL OF MAGNETISM AND MAGNETIC MATERIALS
2020-08-01
Volume507Pages:7
DOI10.1016/j.jmmm.2020.166794
Contribution Rank第3完成单位
Indexed BySCI ; EI
Abstract

In this paper, we determine the geometric phase for the one-dimensional XXZ Heisenberg chain with spin-1/2, the exchange couple J and the spin anisotropy parameter Delta in a longitudinal field (LF) with the reduced field strength h. Using the Jordan-Wigner transformation and the mean-field theory based on the Wick's theorem, a semi-analytical theory has been developed in terms of order parameters which satisfy the self-consistent equations. The values of the order parameters are numerically computed using the matrix-product-state (MPS) method. The validity of the mean-filed theory could be checked through the comparison between the self-consistent solutions and the numerical results. Finally, we draw the topological phase diagrams in the case J < 0 and the case J > 0.

Funding ProjectNational Basic Research Program of China[2016YFA0301903] ; National Natural Science Foundation of China[61632021] ; National Natural Science Foundation of China[11574398] ; National Natural Science Foundation of China[11174370] ; National Natural Science Foundation of China[Y6GJ161001]
Funding OrganizationNational Basic Research Program of China[2016YFA0301903] ; National Natural Science Foundation of China[61632021, 11574398, 11174370, 11574398, Y6GJ161001]
Language英语
Subject Area材料科学
MOST Discipline Catalogue工学 ; 工学::材料科学与工程(可授工学、理学学位)
SubtypeArticle
PublisherELSEVIER
Publication PlaceRADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS
ISSN0304-8853
URL查看原文
WOS IDWOS:000531563600009
WOS Research AreaMaterials Science ; Physics
WOS SubjectMaterials Science, Multidisciplinary ; Physics, Condensed Matter
WOS KeywordBOSE-EINSTEIN CONDENSATION ; MODEL ; SYSTEMS ; ORDER
EI Accession Number20201508382665
EI KeywordsTopology
EI Classification Number921.4 Combinatorial Mathematics, Includes Graph Theory, Set Theory - 922.2 Mathematical Statistics
Citation statistics
Document Type期刊论文
Identifierhttp://ir.ynao.ac.cn/handle/114a53/22559
Collection大样本恒星演化研究组
中国科学院天体结构与演化重点实验室
Corresponding AuthorChen, Ping-Xing
Affiliation1.Department of Physics, National University of Defense Technology, Changsha,, 410073, China
2.Interdisciplinary Center for Quantum Information, National University of Defense Technology, Changsha, 410073, China
3.Yunnan Observatory and Key Laboratory for the Structure and Evolution of Celestial Objects, Chinese Academy of Sciences, Kunming, 650011, China
4.Henan Key Laboratory of Quantum Information and Cryptography, SSF IEU, Zhengzhou, 450001, China
Recommended Citation
GB/T 7714
Liao, Yi,Gong XB,Guo, Chu,et al. Geometric phase and topological phase diagram of the one-dimensional XXZ Heisenberg spin chain in a longitudinal field[J]. JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS,2020,507:7.
APA Liao, Yi,Gong XB,Guo, Chu,&Chen, Ping-Xing.(2020).Geometric phase and topological phase diagram of the one-dimensional XXZ Heisenberg spin chain in a longitudinal field.JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS,507,7.
MLA Liao, Yi,et al."Geometric phase and topological phase diagram of the one-dimensional XXZ Heisenberg spin chain in a longitudinal field".JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS 507(2020):7.
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