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Fermi-edge singularity in a nonequilibrium system.

B Muzykantskii1, N D'Ambrumenil, B Braunecker

  • 1Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom.

Physical Review Letters
|February 3, 2004
PubMed
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We present exact results for the Fermi-edge singularity in out-of-equilibrium tunnel junctions. The line shape depends on phase differences, offering a new interpretation of equilibrium results.

Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Mesoscopic Physics

Background:

  • Fermi-edge singularity (FES) describes spectral features near the Fermi level.
  • Out-of-equilibrium systems present unique many-body challenges.
  • Tunnel junctions with defects offer a platform to study nonequilibrium phenomena.

Purpose of the Study:

  • To calculate exact nonperturbative results for FES in a nonequilibrium tunnel junction.
  • To analyze the influence of a defect's two-state system on the absorption spectrum.
  • To provide a new interpretation of FES in nonequilibrium conditions.

Main Methods:

  • Nonperturbative solution of a many-body problem.
  • Analysis of an out-of-equilibrium tunnel junction model.

Related Experiment Videos

  • Investigation of tunneling through a barrier with a two-state defect.

    • Main Results:

    • The FES extends below the equilibrium threshold.
    • The line shape is dependent on the phase difference of reflection amplitudes.
    • Complex-valued scattering matrix elements replace equilibrium phase shifts.

    Conclusions:

    • Exact nonperturbative results for nonequilibrium FES are obtained.
    • A simple interpretation connects nonequilibrium to equilibrium FES.
    • Scattering matrix elements offer a generalized framework for FES analysis.