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Conductance fluctuations and quantum chaotic scattering in semiconductor microstructures.

C. M. Marcus1, R. M. Westervelt, P. F. Hopkins

  • 1Division of Applied Sciences and Department of Physics, Harvard University, Cambridge, Massachusetts 02138Department of Materials, University of California, Santa Barbara, California 93106.

Chaos (Woodbury, N.Y.)
|October 1, 1993
PubMed
Summary

Experiments on ballistic microstructures reveal quantum chaotic scattering phenomena. Semiclassical analysis explains aperiodic conductance fluctuations, offering insights into electron transport in quantum systems.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Chaos
  • Mesoscopic Physics

Background:

  • Ballistic GaAs/AlGaAs microstructures exhibit complex electron transport phenomena.
  • Quantum chaotic scattering governs behavior in these systems at low temperatures.
  • The Landauer-Buttiker formulation provides a framework for coherent transport analysis.

Purpose of the Study:

  • To review recent experiments on aperiodic conductance fluctuations in specific microstructures.
  • To analyze observed phenomena using a semiclassical approach to quantum chaotic scattering.
  • To present novel experimental findings and compare them with theoretical models.

Main Methods:

  • Experiments conducted on stadium billiard and circular GaAs/AlGaAs microstructures.
  • Measurements performed at millikelvin temperatures to ensure ballistic transport.

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  • Utilized point-contact leads for precise electron injection and detection.
  • Employed semiclassical theory for analyzing quantum chaotic scattering.
  • Main Results:

    • Observed aperiodic conductance fluctuations explained by semiclassical theory.
    • Investigated quantum-enhanced backscattering and the power spectrum of fluctuations.
    • Examined crossovers to high-magnetic-field and tunneling regimes.
    • Demonstrated a method for measuring phase-randomizing scattering rates.

    Conclusions:

    • Semiclassical approach effectively describes quantum chaotic scattering in ballistic microstructures.
    • Experimental results align with theoretical predictions for conductance fluctuations.
    • The study provides a method for characterizing scattering processes in quantum systems.