Universal properties of the FQH state from the topological entanglement entropy and disorder effects

Journal Article · Fri Sep 15 04:00:00 EDT 2017 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2017.07.005· OSTI ID:22701535

Jiang, Na; Li, Qi; Zhu, Zheng; Hu, Zi-Xiang

The topological entanglement entropy (TEE) is a robust measurement of the quantum many-body state with topological order. In fractional quantum Hall (FQH) state, it has a connection to the quantum dimension of the state itself and its quasihole excitations from the conformal field theory (CFT) description. We study the entanglement entropy (EE) in the Moore–Read (MR) and Read–Rezayi (RR) FQH states. The non-Abelian quasihole excitation induces an extra correction of the TEE which is related to its quantum dimension. With considering the effects of the disorder, the ground state TEE is stable before the spectral gap closing and the level statistics seems to have significant change with a stronger disorder, which indicates a many-body localization (MBL) transition. - Highlights: • The TEE in Read–Rezayi FQH series are studied on cylinder in real space. • Ground state TEE is robust before gap closing in the presence of the disorder. • Strong disorder drives the system into a MBL phase.

• OSTI ID: 22701535
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 384; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONFORMAL INVARIANCE
ENTROPY
GROUND STATES
MANY-BODY PROBLEM
QUANTUM ENTANGLEMENT
QUANTUM FIELD THEORY
US ENERGY EXTENSION SERVICE