Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers
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PhysRevLett.118.166401.pdf
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348.61 KB
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Author(s)
Isobe, Hiroki
Fu, Liang
Date Issued
April 2017
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Isobe, Hiroki and Fu, Liang. "Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers." Physical Review Letters 118, no. 166401 (April 2017). © 2017 American Physical Society
Version
Final published version
Abstract
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=1/2+1/2 and 1/4+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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.118.166401
