Gauge symmetry of excited states in projected entangled-pair state simulations

Tan, Yi1; Chen, Ji-Yao2; Poilblanc, Didier3,4; Mei, Jia-Wei1,5

2024-04-30

10.1103/PhysRevResearch.6.023102

PHYSICAL REVIEW RESEARCH   影响因子和分区

2643-1564

While gauge symmetry is a well-established requirement for representing topological orders in projected entangled-pair state (PEPS), its impact on the properties of low-lying excited states remains relatively unexplored. Here we perform PEPS simulations of low-energy dynamics in the Kitaev honeycomb model, which supports fractionalized gauge flux (vison) excitations. We identify gauge symmetry emerging upon optimizing an unbiased PEPS ground state. Using the PEPS adapted local mode approximation, we further classify the low-lying excited states by discerning different vison sectors. Our simulations of spin and spin-dimer dynamical correlations establish close connections with experimental observations. Notably, the selection rule imposed by the locally conserved visons results in nearly flat dispersions in momentum space for excited states belonging to the 2-vison or 4-vison sectors.

ESCI ; EI

英语

第一

National Key Research and Development Program of China[2021YFA1400400] ; Shenzhen Fundamental Research Program[JCYJ20220818100405013] ; Guangdong Innovative and Entrepreneurial Research Team Program[2017ZT07C062] ; Shenzhen Key Laboratory of Advanced Quantum Functional Materials and Devices["ZDSYS20190902092905285","2020B1515120100"] ; Open Research Fund Program of the State Key Laboratory of Low -Dimensional Quantum Physics[KF202207] ; Fundamental Research Funds for the Central Universities, Sun Yat-sen University[23qnpy60] ; Sun Yat-sen University, the Innovation Program for Quantum Science and Technology[2021ZD0302100] ; Guangzhou Basic and Applied Basic Research Foundation[2024A04J4264] ; National Natural Science Foundation of China (NSFC)[12304186] ; Guangdong Provincial Key Laboratory of Magnetoelectric Physics and Devices[2022B1212010008] ; French Research Council[ANR-18-CE30-0026-01]

Physics

Physics, Multidisciplinary

WOS:001218198200001

AMER PHYSICAL SOC

Web of Science

1.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China
2.Sun Yat Sen Univ, Ctr Neutron Sci & Technol, Sch Phys, Guangdong Prov Key Lab Magnetoelect Phys & Devices, Guangzhou 510275, Peoples R China
3.CNRS, Lab Phys Theor, F-31062 Toulouse, France
4.Univ Toulouse, F-31062 Toulouse, France
5.Southern Univ Sci & Technol, Shenzhen Key Lab Adv Quantum Funct Mat & Devices, Shenzhen 518055, Peoples R China

Tan, Yi,Chen, Ji-Yao,Poilblanc, Didier,et al. Gauge symmetry of excited states in projected entangled-pair state simulations[J]. PHYSICAL REVIEW RESEARCH,2024,6(2).

Tan, Yi,Chen, Ji-Yao,Poilblanc, Didier,&Mei, Jia-Wei.(2024).Gauge symmetry of excited states in projected entangled-pair state simulations.PHYSICAL REVIEW RESEARCH,6(2).

Tan, Yi,et al."Gauge symmetry of excited states in projected entangled-pair state simulations".PHYSICAL REVIEW RESEARCH 6.2(2024).