TOPOLOGICAL ENTANGLEMENT ENTROPY IN THE SECOND LANDAU LEVEL-Reference-Cited by-同舟云学术

TOPOLOGICAL ENTANGLEMENT ENTROPY IN THE SECOND LANDAU LEVEL

Published:2010-09-30 Issue:24 Volume:24 Page:4707-4715
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

FRIEDMAN B. A.¹,LEVINE G. C.²

Affiliation:

1. Department of Physics, Sam Houston State University, Huntsville, TX 77341, USA

2. Department of Physics and Astronomy, Hofstra University, Hempstead, NY 11549, USA

Abstract

The entanglement entropy of the incompressible states of a realistic quantum Hall system in the second Landau level is studied by direct diagonalization. The subdominant term of the area law, the topological entanglement entropy, which is believed to carry information about topological order in the ground state, was extracted for filling factors ν = 12/5 and ν = 7/3. While it is difficult to make strong conclusions about ν = 12/5, the ν = 7/3 state appears to be very consistent with the topological entanglement entropy for the k = 4 Read–Rezayi state. The effect of finite thickness corrections to the Coulomb potential used in the direct diagonalization is also systematically studied.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979210056864

Reference28 articles.

1. Two-Dimensional Magnetotransport in the Extreme Quantum Limit

2. Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations

3. Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States

4. Statistics of Quasiparticles and the Hierarchy of Fractional Quantized Hall States

5. Composite-fermion approach for the fractional quantum Hall effect

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Zn superconductivity of composite bosons and the 7/3 fractional quantum Hall effect;Physical Review Research;2020-03-20

2. Entanglement classification in the noninteracting Fermi gas;International Journal of Quantum Information;2017-10

3. Abelian and non-Abelian states inν=2/3bilayer fractional quantum Hall systems;Physical Review B;2015-07-02

4. Entanglement entropy of fractional quantum Hall systems with short range disorder;International Journal of Modern Physics B;2015-05-10

5. Entanglement measures for quasi-two-dimensional fractional quantum Hall states;Physical Review B;2011-09-30