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:
-
- 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:
- 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. https://doi.org/10.1103/PhysRevLett.118.166401
Isobe, Hiroki, and Fu, Liang. Mon .
"Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers". United States. https://doi.org/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}
}
Web of Science
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Works referencing / citing this record:
Fate of superconductivity in disordered Dirac and semi-Dirac semimetals
journal, May 2019
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