skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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 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 highly non-trivial 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. 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 Vmore » max when the system undergoes a transition from a fully spin polarized state to a spin singlet or a partially spin polarized state.« less

Authors:
 [1];  [1];  [2]
  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) (SC-22)
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.
Zhang, Yuhe, Jain, J. K., & Eisenstein, J. P. Tunnel transport and interlayer excitons in bilayer fractional quantum Hall systems. United States. doi:10.1103/PhysRevB.95.195105.
Zhang, Yuhe, Jain, J. K., and Eisenstein, J. P. Wed . "Tunnel transport and interlayer excitons in bilayer fractional quantum Hall systems". United States. doi:10.1103/PhysRevB.95.195105. https://www.osti.gov/servlets/purl/1489115.
@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 = {2017},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

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

Save / Share:

Works referenced in this record:

Fractional Quantum Hall Phase Transitions and Four-Flux States in Graphene
journal, August 2013


New stochastic method for systems with broken time-reversal symmetry: 2D fermions in a magnetic field
journal, October 1993


Splitting of the Fermi Contour of Quasi-2D Electrons in Parallel Magnetic Fields
journal, June 2015


Spin and the Coulomb gap in the half-filled lowest Landau level
journal, September 2016


Reconstructing the Electron in a Fractionalized Quantum Fluid
journal, May 2005


Tunneling into a two-dimensional electron system in a strong magnetic field
journal, August 1993


New Phase Transition between Partially and Fully Polarized Quantum Hall States with Charge and Spin Gaps at ν = 2 3
journal, September 2001


Unraveling the Spin Polarization of the   = 5/2 Fractional Quantum Hall State
journal, January 2012


Spin Transition in the Half-Filled Landau Level
journal, February 2007


Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States
journal, August 1983


NMR Determination of 2D Electron Spin Polarization at ν = 1 / 2
journal, January 2000


Phase Diagram of the Spin Polarization of Composite Fermions and a New Effective Mass
journal, May 1998


Phase diagram of bilayer composite fermion states
journal, August 2001


Quantum Monte Carlo simulations of solids
journal, January 2001


Evidence for a spin transition in the ν=2/3 fractional quantum Hall effect
journal, April 1990


Spin polarization of composite fermions and particle-hole symmetry breaking
journal, August 2014


Fractional quantum Hall effect in graphene: Quantitative comparison between theory and experiment
journal, August 2015


Fractional Quantum Hall Effect around ν = 3 2 : Composite Fermions with a Spin
journal, November 1995


Activated Transport in the Separate Layers that Form the ν T = 1 Exciton Condensate
journal, December 2004


Spin-Dependent Phase Diagram of the ν T = 1 Bilayer Electron System
journal, March 2008


Quantum Hall Exciton Condensation at Full Spin Polarization
journal, January 2010


Resonantly Enhanced Tunneling in a Double Layer Quantum Hall Ferromagnet
journal, June 2000


Evidence for an Interlayer Exciton in Tunneling between Two-Dimensional Electron Systems
journal, February 1995


Theory of the half-filled Landau level
journal, March 1993


Neutral superfluid modes and ‘‘magnetic’’ monopoles in multilayered quantum Hall systems
journal, September 1992


Composite fermions and Landau-level mixing in the fractional quantum Hall effect
journal, December 1995


Realistic calculations of correlated incompressible electronic states in GaAs- Al x Ga 1 x As heterostructures and quantum wells
journal, March 1997


Exact results for model wave functions of anisotropic composite fermions in the fractional quantum Hall effect
journal, February 2016


Exciton Condensation in Bilayer Quantum Hall Systems
journal, March 2014


Evidence for a spin transition in the ν= 2 5 fractional quantum Hall effect
journal, November 1997


Observation of Quantized Hall Drag in a Strongly Correlated Bilayer Electron System
journal, March 2002


Quantitative study of large composite-fermion systems
journal, February 1997


Fermi contour anisotropy of GaAs electron-flux composite fermions in parallel magnetic fields
journal, February 2014


Equilibrium tunneling from the two-dimensional electron gas in GaAs: Evidence for a magnetic-field-induced energy gap
journal, February 1990


Correlation Energy and Tunneling Density of States in the Fractional Quantum Hall Regime
journal, February 1996


Fractional quantum Hall effect in a two-dimensional electron-hole fluid
journal, August 1990


Optical Investigation of Spin-Wave Excitations in Fractional Quantum Hall States and of Interaction between Composite Fermions
journal, October 2000


Quantum Hall Fluids on the Haldane Sphere: A Diffusion Monte Carlo Study
journal, December 1997


Spin Polarization of Composite Fermions: Measurements of the Fermi Energy
journal, May 1999


Semiclassical theory of the Coulomb anomaly
journal, August 1997

  • Levitov, S.; Shytov, A. V.
  • Journal of Experimental and Theoretical Physics Letters, Vol. 66, Issue 3
  • DOI: 10.1134/1.567489

Coulomb barrier to tunneling between parallel two-dimensional electron systems
journal, December 1992


Rotons of composite fermions: Comparison between theory and experiment
journal, May 2000


Mixed-spin incompressible states in the fractional quantum Hall effect
journal, July 1993


Composite Fermions in the Hilbert Space of the Lowest Electronic Landau Level
journal, September 1997


Breakdown of particle–hole symmetry in the lowest Landau level revealed by tunneling spectroscopy
journal, November 2009

  • Eisenstein, J. P.; Pfeiffer, L. N.; West, K. W.
  • Solid State Communications, Vol. 149, Issue 43-44
  • DOI: 10.1016/j.ssc.2009.08.004

NMR Investigation of How Free Composite Fermions Are at ν = 1 2
journal, November 2002


Magnetophonon shakeup in a Wigner crystal: Applications to tunneling spectroscopy in the quantum Hall regime
journal, August 1993


Electron spectral function of an interacting two dimensional electron gas in a strong magnetic field
journal, July 1993


Fractional quantum Hall effect at ν=2/3 and 3/5 in tilted magnetic fields
journal, February 1992


Effective Mass and g Factor of Four-Flux-Quanta Composite Fermions
journal, January 1999


Evidence for a phase transition in the fractional quantum Hall effect
journal, March 1989


Composite-fermion approach for the fractional quantum Hall effect
journal, July 1989


Tunneling between two-dimensional electron gases in a strong magnetic field
journal, November 1994


Landau-Level Mixing and Particle-Hole Symmetry Breaking for Spin Transitions in the Fractional Quantum Hall Effect
journal, September 2016


Vanishing Hall Resistance at High Magnetic Field in a Double-Layer Two-Dimensional Electron System
journal, July 2004


Counterflow Measurements in Strongly Correlated GaAs Hole Bilayers: Evidence for Electron-Hole Pairing
journal, July 2004