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Tunnel transport and interlayer excitons in bilayer fractional quantum Hall systems

Zhang, Yuhe and Jain, J. K. and Eisenstein, J. P. (2017) Tunnel transport and interlayer excitons in bilayer fractional quantum Hall systems. Physical Review B, 95 (19). Art. No. 195105. ISSN 2469-9950. http://resolver.caltech.edu/CaltechAUTHORS:20170503-105416560

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Abstract

In a bilayer system consisting of a composite-fermion Fermi sea in each layer, the tunnel current is exponentially suppressed at zero bias, followed by a strong peak at a finite bias voltage V_(max). This behavior, which is qualitatively different from that observed for the electron Fermi sea, provides fundamental insight into the strongly correlated non-Fermi liquid nature of the CF Fermi sea and, in particular, offers a window into the short-distance high-energy physics of this state. We identify the exciton responsible for the peak current and provide a quantitative account of the value of V_(max). The excitonic attraction is shown to be quantitatively significant, and its variation accounts for the increase of V_(max) with the application of an in-plane magnetic field. We also estimate the critical Zeeman energy where transition occurs from a fully spin polarized composite fermion Fermi sea to a partially spin polarized one, carefully incorporating corrections due to finite width and Landau level mixing, and find it to be in satisfactory agreement with the Zeeman energy where a qualitative change has been observed for the onset bias voltage [Eisenstein et al., Phys. Rev. B 94, 125409 (2016)]. For fractional quantum Hall states, we predict a substantial discontinuous jump in V_(max) when the system undergoes a transition from a fully spin polarized state to a spin singlet or a partially spin polarized state.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.95.195105DOIArticle
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.95.195105PublisherArticle
https://arxiv.org/abs/1702.08595arXivDiscussion Paper
Additional Information:© 2017 American Physical Society. Received 27 February 2017; published 3 May 2017. The work at Penn State was supported in part by the U.S. Department of Energy under Grant No. DE-SC0005042. The Caltech portion of this work was supported in part by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation through Grant No. GBMF1250.
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0005042
Gordon and Betty Moore FoundationGBMF1250
Record Number:CaltechAUTHORS:20170503-105416560
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170503-105416560
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77155
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:03 May 2017 18:04
Last Modified:03 May 2017 18:04

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