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Order and chaos in semiconductor microstructures.

W. A. Lin1, J. B. Delos, R. V. Jensen

  • 1Institute for Theoretical Atomic and Molecular Physics, Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138Department of Physics, College of William & Mary, Williamsburg, Virginia 23185Department of Physics, Texas A & M University, College Station, Texas 77844.

Chaos (Woodbury, N.Y.)
|October 1, 1993
PubMed
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This study compares semiclassical theory with experimental data on electron transport in semiconductor microstructures. It reveals how classical dynamics in circular and stadium shapes probe quantum properties.

Area of Science:

  • Condensed Matter Physics
  • Quantum Transport
  • Mesoscopic Systems

Background:

  • Semiclassical theory describes quantum conductance fluctuations using classical trajectory distributions.
  • Classical dynamics differ in integrable (circular) and chaotic (stadium) scattering domains.
  • Conductance measurements probe quantum properties of regular and chaotic systems.

Purpose of the Study:

  • Compare geometrical formulas for classical distributions with numerical simulations.
  • Assess the impact of lead size and placement on predictions.
  • Analyze the role of scattering noise in classical and semiclassical models.
  • Compare semiclassical theory with experimental conductance fluctuations in circular and stadium microstructures.

Main Methods:

Related Experiment Videos

  • Utilized semiclassical theory for ballistic electron transport.
  • Employed geometrical formulas for classical distributions.
  • Conducted numerical simulations of microstructures.
  • Performed experimental measurements of conductance fluctuations.

    • Main Results:

    • Established a link between classical trajectory distributions and quantum conductance fluctuations.
    • Demonstrated that microstructure shape (circular vs. stadium) influences classical dynamics.
    • Validated semiclassical predictions against experimental data for both shapes.
    • Identified the effects of lead geometry and scattering noise on theoretical predictions.

    Conclusions:

    • Semiclassical theory effectively describes quantum conductance fluctuations in semiconductor microstructures.
    • Experimental measurements of conductance in different geometries serve as a sensitive probe of quantum chaos.
    • The study provides a critical analysis of factors influencing theoretical and experimental outcomes.