skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers

Abstract

Here, we study the pairing symmetry of the interlayer paired state of composite fermions in quantum Hall bilayers. Based on the Halperin-Lee-Read (HLR) theory, the effect of the long-range Coulomb interaction and the internal Chern-Simons gauge fluctuation is analyzed with the random-phase approximation beyond the leading order contribution in small momentum expansion, and we observe that the interlayer paired states with a relative angular momentum $l=+1$ are energetically favored for filling ν=$$\frac{1}2$$+$$\frac{1}2$$ and $$\frac{1}4$$+$$\frac{1}4$$. The degeneracy between states with $±l$ is lifted by the interlayer density-current interaction arising from the interplay of the long-range Coulomb interaction and the Chern-Simons term in the HLR theory.

Authors:
 [1];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Department of Physics
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE
OSTI Identifier:
1424925
Alternate Identifier(s):
OSTI ID: 1351933
Grant/Contract Number:
SC0010526
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 118; Journal Issue: 16; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Composite fermions; p-wave; two-dimensional electron gas; Eliashberg theory; random phase approximation

Citation Formats

Isobe, Hiroki, and Fu, Liang. Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers. United States: N. p., 2017. Web. doi:10.1103/PhysRevLett.118.166401.
Isobe, Hiroki, & Fu, Liang. Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers. United States. doi:10.1103/PhysRevLett.118.166401.
Isobe, Hiroki, and Fu, Liang. Mon . "Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers". United States. doi:10.1103/PhysRevLett.118.166401. https://www.osti.gov/servlets/purl/1424925.
@article{osti_1424925,
title = {Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers},
author = {Isobe, Hiroki and Fu, Liang},
abstractNote = {Here, we study the pairing symmetry of the interlayer paired state of composite fermions in quantum Hall bilayers. Based on the Halperin-Lee-Read (HLR) theory, the effect of the long-range Coulomb interaction and the internal Chern-Simons gauge fluctuation is analyzed with the random-phase approximation beyond the leading order contribution in small momentum expansion, and we observe that the interlayer paired states with a relative angular momentum $l=+1$ are energetically favored for filling ν=$\frac{1}2$+$\frac{1}2$ and $\frac{1}4$+$\frac{1}4$. The degeneracy between states with $±l$ is lifted by the interlayer density-current interaction arising from the interplay of the long-range Coulomb interaction and the Chern-Simons term in the HLR theory.},
doi = {10.1103/PhysRevLett.118.166401},
journal = {Physical Review Letters},
number = 16,
volume = 118,
place = {United States},
year = {Mon Apr 17 00:00:00 EDT 2017},
month = {Mon Apr 17 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 2works
Citation information provided by
Web of Science

Save / Share: