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 HalperinLeeRead (HLR) theory, the effect of the longrange Coulomb interaction and the internal ChernSimons gauge fluctuation is analyzed with the randomphase 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 densitycurrent interaction arising from the interplay of the longrange Coulomb interaction and the ChernSimons 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) (SC22). 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 00319007
 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; pwave; twodimensional 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 HalperinLeeRead (HLR) theory, the effect of the longrange Coulomb interaction and the internal ChernSimons gauge fluctuation is analyzed with the randomphase 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 densitycurrent interaction arising from the interplay of the longrange Coulomb interaction and the ChernSimons 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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Composite Fermions: Motivation, Successes, and Application to Fractional Quantum Hall Effect in Graphene
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