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Title: Tunnel transport and interlayer excitons in bilayer fractional quantum Hall systems

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 Vmax. 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 highly non-trivial state. We identify the exciton responsible for the peak current and provide a quantitative account of the value of Vmax. The excitonic attraction is shown to be quantitatively significant, and its variation accounts for the increase of Vmax with the application of an in-plane magnetic field. Here, 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. For fractional quantum Hall states, we predict a substantial discontinuous jump in Vmax when the systemmore » undergoes a transition from a fully spin polarized state to a spin singlet or a partially spin polarized state.« less

Authors:
 [1];  [1];  [2]
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  1. The Pennsylvania State Univ., University Park, PA (United States)
  2. California Inst. of Technology (CalTech), Pasadena, CA (United States)
Publication Date:
Research Org.:
Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1489115
Alternate Identifier(s):
OSTI ID: 1355070
Grant/Contract Number:  
SC0005042
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 95; Journal Issue: 19; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; bilayer exciton; Coulomb gap

Citation Formats

Zhang, Yuhe, Jain, J. K., and Eisenstein, J. P. Tunnel transport and interlayer excitons in bilayer fractional quantum Hall systems. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.95.195105.
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Zhang, Yuhe, Jain, J. K., & Eisenstein, J. P. Tunnel transport and interlayer excitons in bilayer fractional quantum Hall systems. United States. https://doi.org/10.1103/PhysRevB.95.195105
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Zhang, Yuhe, Jain, J. K., and Eisenstein, J. P. Wed . "Tunnel transport and interlayer excitons in bilayer fractional quantum Hall systems". United States. https://doi.org/10.1103/PhysRevB.95.195105. https://www.osti.gov/servlets/purl/1489115.
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@article{osti_1489115,
title = {Tunnel transport and interlayer excitons in bilayer fractional quantum Hall systems},
author = {Zhang, Yuhe and Jain, J. K. and Eisenstein, J. P.},
abstractNote = {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 Vmax. 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 highly non-trivial state. We identify the exciton responsible for the peak current and provide a quantitative account of the value of Vmax. The excitonic attraction is shown to be quantitatively significant, and its variation accounts for the increase of Vmax with the application of an in-plane magnetic field. Here, 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. For fractional quantum Hall states, we predict a substantial discontinuous jump in Vmax when the system undergoes a transition from a fully spin polarized state to a spin singlet or a partially spin polarized state.},
doi = {10.1103/PhysRevB.95.195105},
journal = {Physical Review B},
number = 19,
volume = 95,
place = {United States},
year = {Wed May 03 00:00:00 EDT 2017},
month = {Wed May 03 00:00:00 EDT 2017}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1103/PhysRevB.95.195105
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Cited by: 8 works
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Figures / Tables:

FIG. 1. FIG. 1.: The symbols show, for three densities ρ, the experimental bias voltage Vmax that produces the peak tunnel current, taken from Eisensteinet al., which studies a system of two quantum wells of width w = 18 nm separated by d = 28 nm (center to center). The solid linesmore » and dashed lines depict the theoretical energies of the hard exciton and soft exciton, respectively. The total magnetic field is given by Btot =√B2‖ + B2⊥, where the normal component B⊥ is equal to the left most depicted value. The theory contains no adjustable parameters. Further details are given in the main text.« less
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    Works referencing / citing this record:

    Crystallization in the Fractional Quantum Hall Regime Induced by Landau-level Mixing
    text, January 2018

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      Figures / Tables found in this record:

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