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Chaotic electron diffusion through stochastic webs enhances current flow in superlattices.

T M Fromhold1, A Patanè, S Bujkiewicz

  • 1School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, UK. mark.fromhold@nottingham.ac.uk

Nature
|April 16, 2004
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Summary

Researchers experimentally demonstrated non-Kolmogorov-Arnold-Moser (KAM) chaos in semiconductor superlattices. This quantum phenomenon offers a new way to control electrical conductivity in condensed matter devices, with potential applications in quantum electronics.

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Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Nonlinear dynamics

Background:

  • Complex systems' response to change is crucial in natural sciences.
  • Kolmogorov-Arnold-Moser (KAM) theorem describes gradual transitions to chaos.
  • Non-KAM chaos, unlike KAM, switches abruptly and has broad implications.

Purpose of the Study:

  • To experimentally realize and investigate non-KAM chaos.
  • To explore its manifestation in quantum systems.
  • To understand its potential for controlling electrical conductivity.

Main Methods:

  • Utilizing quantum properties of electrons in semiconductor superlattices.
  • Applying voltage and magnetic fields to induce perturbations.
  • Observing current flow changes and electron orbital behavior.

Main Results:

  • Experimental realization of non-KAM chaos at discrete voltages.
  • Observed abrupt onset of chaos linked to increased current.
  • Creation of unbound electron orbits forming intricate phase space patterns.

Conclusions:

  • Non-KAM chaos can be experimentally controlled in condensed matter systems.
  • This phenomenon provides a mechanism for tunable electrical conductivity.
  • Potential applications exist in quantum electronics and photonics due to extreme sensitivity.