Interlayer correlated fractional quantum Hall state in the bilayer system
Abstract
We perform exact diagonalization studies for fractional quantum Hall states at filling factor 4/5 in a bilayer system, on a torus with various aspect ratios and angles. In this work we find that in the absence of tunneling, two weakly coupled 2/5 layers undergo a phase transition into an interlayer-correlated regime, which is also Abelian with the fivefold degeneracy on the torus. In the limit of zero layer separation, this phase becomes a singlet in the pseudospin variable describing the layer degree of freedom. By studying the Chern-number matrix, we show that the K matrix describing the interlayer-correlated regime requires a matrix dimension larger than two and this regime is in particular not described by a Halperin state. A detailed analysis of possible 4 × 4 K matrices having the requisite symmetries and quantum numbers shows that there is only one equivalence class of such matrices. A model wave function representing this universality class is constructed. The role of separate particle number conservation in both layers is discussed, and it is argued that this additional symmetry allows for the further distinction of two different symmetry-protected Abelian phases in the interlayer correlated regime. Interlayer tunneling breaks this symmetry and can drivemore »
- Authors:
-
- Southern University of Science and Technology, Shenzhen (China)
- Washington Univ., St. Louis, MO (United States)
- Florida State Univ., Tallahassee, FL (United States)
- University of Chinese Academy of Sciences, Beijing (China)
- Publication Date:
- Research Org.:
- Princeton Univ., NJ (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); National Natural Science Foundation of China (NSFC); National Science Foundation (NSF); Chinese Academy of Sciences (CAS); State of Florida; National Basic Research Program of China
- OSTI Identifier:
- 1801537
- Grant/Contract Number:
- SC0002140; 11474144; XDB28000000; 11674278
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 24; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Materials Science; Physics
Citation Formats
Wang, Hao, Seidel, Alexander, Yang, Kun, and Zhang, Fu-Chun. Interlayer correlated fractional quantum Hall state in the ν=4/5 bilayer system. United States: N. p., 2019.
Web. doi:10.1103/physrevb.100.245122.
Wang, Hao, Seidel, Alexander, Yang, Kun, & Zhang, Fu-Chun. Interlayer correlated fractional quantum Hall state in the ν=4/5 bilayer system. United States. https://doi.org/10.1103/physrevb.100.245122
Wang, Hao, Seidel, Alexander, Yang, Kun, and Zhang, Fu-Chun. Thu .
"Interlayer correlated fractional quantum Hall state in the ν=4/5 bilayer system". United States. https://doi.org/10.1103/physrevb.100.245122. https://www.osti.gov/servlets/purl/1801537.
@article{osti_1801537,
title = {Interlayer correlated fractional quantum Hall state in the ν=4/5 bilayer system},
author = {Wang, Hao and Seidel, Alexander and Yang, Kun and Zhang, Fu-Chun},
abstractNote = {We perform exact diagonalization studies for fractional quantum Hall states at filling factor 4/5 in a bilayer system, on a torus with various aspect ratios and angles. In this work we find that in the absence of tunneling, two weakly coupled 2/5 layers undergo a phase transition into an interlayer-correlated regime, which is also Abelian with the fivefold degeneracy on the torus. In the limit of zero layer separation, this phase becomes a singlet in the pseudospin variable describing the layer degree of freedom. By studying the Chern-number matrix, we show that the K matrix describing the interlayer-correlated regime requires a matrix dimension larger than two and this regime is in particular not described by a Halperin state. A detailed analysis of possible 4 × 4 K matrices having the requisite symmetries and quantum numbers shows that there is only one equivalence class of such matrices. A model wave function representing this universality class is constructed. The role of separate particle number conservation in both layers is discussed, and it is argued that this additional symmetry allows for the further distinction of two different symmetry-protected Abelian phases in the interlayer correlated regime. Interlayer tunneling breaks this symmetry and can drive the system into a single-layer regime when strong enough. A qualitative phase diagram in the tunneling-layer separation parameter space is proposed based on our numerical results.},
doi = {10.1103/physrevb.100.245122},
journal = {Physical Review B},
number = 24,
volume = 100,
place = {United States},
year = {Thu Dec 12 00:00:00 EST 2019},
month = {Thu Dec 12 00:00:00 EST 2019}
}
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