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Liang, L; Yu, Y; Liang, L (reprint author), Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
An Anyon Model in a Toric Honeycomb Lattice
Source PublicationCOMMUNICATIONS IN THEORETICAL PHYSICS
Language英语
KeywordQuantum Computation Statistics
AbstractWe study an anyon model in a toric honey comb lattice. The ground states and the low-lying excitations coincide with those of Kitaev toric code model and then the excitations obey mutual semionic statistics. This model is helpful to understand the toric code of anyons in a more symmetric way. On the other hand, there is a direct relation between this toric honeycomb model and a boundary coupled Ising chain array in a square lattice via Jordan-Wigner transformation. We discuss the equivalence between these two models in the low-lying sector and realize these anyon excitations in a conventional fermion system. The analysis for the ground state degeneracy in the last section can also be thought of as a complementarity of our previous work [Phys. A: Math. Theor. 43 (2010) 105306].
2011
ISSN0253-6102
Volume55Issue:1Pages:80-84
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNational Natural Science Foundation of China; MOST of China; Key Lab of Frontiers in Theoretical Physics of CAS; CAS ; National Natural Science Foundation of China; MOST of China; Key Lab of Frontiers in Theoretical Physics of CAS; CAS ; National Natural Science Foundation of China; MOST of China; Key Lab of Frontiers in Theoretical Physics of CAS; CAS ; National Natural Science Foundation of China; MOST of China; Key Lab of Frontiers in Theoretical Physics of CAS; CAS
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Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/14445
Collection理论物理所科研产出_SCI论文
Corresponding AuthorLiang, L (reprint author), Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Liang, L,Yu, Y,Liang, L . An Anyon Model in a Toric Honeycomb Lattice[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2011,55(1):80-84.
APA Liang, L,Yu, Y,&Liang, L .(2011).An Anyon Model in a Toric Honeycomb Lattice.COMMUNICATIONS IN THEORETICAL PHYSICS,55(1),80-84.
MLA Liang, L,et al."An Anyon Model in a Toric Honeycomb Lattice".COMMUNICATIONS IN THEORETICAL PHYSICS 55.1(2011):80-84.
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