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Quantum-chaotic scattering effects in semiconductor microstructures.

Harold U. Baranger¹, Rodolfo A. Jalabert, A. Douglas Stone

¹AT&T Bell Laboratories 1D-230, 600 Mountain Avenue, Murray Hill, New Jersey 07974-0636Division de Physique Theorique,(a)) Institut de Physique Nucleaire, F-91406 Orsay Cedex, FranceApplied Physics, Yale University, P.O. Box 208284, New Haven, Connecticut 06520-8284.

Chaos (Woodbury, N.Y.)

|October 1, 1993

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Classical chaotic scattering impacts quantum conductance in semiconductor microstructures, causing conductance fluctuations and weak-localization. A semiclassical theory explains these effects but struggles with their magnitude.

Area of Science:

Quantum transport phenomena in semiconductor nanostructures.
Semiclassical and quantum mechanics interface.
Mesoscopic physics and condensed matter theory.

Background:

Classical chaotic scattering influences quantum conductance in semiconductor microstructures.
Conductance fluctuations and weak-localization are key quantum transport effects.
Understanding these phenomena is crucial for developing advanced electronic devices.

Purpose of the Study:

To investigate the experimentally measurable consequences of classical chaotic scattering on quantum conductance.
To develop and apply a semiclassical theory for analyzing conductance fluctuations and weak-localization.
To differentiate the effects of chaotic versus regular classical scattering on quantum transport.

Main Methods:

Related Experiment Videos

Modeling semiconductor microstructures as billiards attached to leads.
Developing a semiclassical theory to analyze quantum conductance.
Performing numerical simulations to study conductance fluctuations and weak-localization.

Main Results:

Classical chaotic scattering leads to observable conductance fluctuations and weak-localization.
A distinction in fluctuation spectra and weak-localization lineshapes exists between chaotic and nonchaotic structures.
The semiclassical diagonal approximation accurately predicts lineshapes and fluctuation spectra but underestimates their magnitude.

Conclusions:

Classical chaos has significant, measurable effects on quantum conductance.
Semiclassical theory provides insights into quantum transport but has limitations in predicting magnitudes.
Further theoretical development is needed to fully capture the quantitative aspects of these quantum transport phenomena.