Entanglement spectrum edge reconstruction and correlation hole of fractional quantum Hall liquids

Wei, Li-Xia1,2; Jiang, Na3; Li, Qi4,5; Hu, Zi-Xiang1,2

2020-02-27

10.1103/PhysRevB.101.075137

PHYSICAL REVIEW B   影响因子和分区

2469-9950

2469-9969

The edge of the electronic fractional quantum Hall (FQH) system obeys the law of the chiral Luttinger liquid theory due to its intrinsic topological properties and the relation of bulk-edge correspondence. However, in a realistic experimental system, such as the usual Hall bar setup, the softening of the background confinement potential can induce the reconstruction of the edge spectrum, which breaks the chirality and universality of the FQH edge. The entanglement spectrum (ES) of the FQH ground state has the same counting structure as that of the energy spectrum indicating the topological characters of the quantum state. In this work, we report that the ES can also have an edge reconstruction while sweeping the area of the subsystem in real space cut. Moreover, we found that the critical area of the subsystem matches accurately with the intrinsic building block of the FQH liquids, namely the correlation hole of the FQH liquids. The above results seem to be universal after our study of a series of typical FQH states, such as two Laughlin states at nu = 1/3 and 1/5, and the Moore-Read state for nu = 5/2.

SCI ; EI

英语

其他

Strategic Priority Research Program of Chinese Academy of Sciences[XDB28000000]

Materials Science ; Physics

Materials Science, Multidisciplinary ; Physics, Applied ; Physics, Condensed Matter

WOS:000517213700001

AMER PHYSICAL SOC

20201508393022

Quantum entanglement ; Liquids ; Topology

Combinatorial Mathematics, Includes Graph Theory, Set Theory:921.4 ; Quantum Theory; Quantum Mechanics:931.4

PHYSICS

Web of Science

1.Chongqing Univ, Dept Phys, Chongqing 401331, Peoples R China
2.Chongqing Univ, Ctr Quantum Mat & Device, Chongqing 401331, Peoples R China
3.Zhejiang Univ, Zhejiang Inst Modern Phys, Hangzhou 310027, Peoples R China
4.South Univ Sci & Technol China, Dept Phys, Shenzhen 518055, Peoples R China
5.Wuhan Univ, Sch Phys & Technol, Wuhan 430072, Peoples R China

Wei, Li-Xia,Jiang, Na,Li, Qi,et al. Entanglement spectrum edge reconstruction and correlation hole of fractional quantum Hall liquids[J]. PHYSICAL REVIEW B,2020,101(7).

Wei, Li-Xia,Jiang, Na,Li, Qi,&Hu, Zi-Xiang.(2020).Entanglement spectrum edge reconstruction and correlation hole of fractional quantum Hall liquids.PHYSICAL REVIEW B,101(7).

Wei, Li-Xia,et al."Entanglement spectrum edge reconstruction and correlation hole of fractional quantum Hall liquids".PHYSICAL REVIEW B 101.7(2020).