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Self-consistent transport dynamics for localized waves.

O I Lobkis1, R L Weaver

  • 1Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, Illinois 61801, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 9, 2005
PubMed
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The Vollhardt and Wolfle theory accurately predicts transport dynamics in one- and two-dimensional systems. Numerical simulations confirm these simple predictions for Anderson localization.

Area of Science:

  • Condensed matter physics
  • Disordered systems
  • Quantum mechanics

Background:

  • Anderson localization describes the suppression of electron wave function motion in disordered materials.
  • Understanding transport dynamics in low-dimensional systems is crucial for developing novel electronic devices.
  • The Vollhardt and Wolfle self-consistent theory offers a theoretical framework for studying localization phenomena.

Purpose of the Study:

  • To derive and explore the predictions of the Vollhardt and Wolfle self-consistent theory for transport dynamics.
  • To compare theoretical predictions with direct numerical simulations in unbounded one- and two-dimensional media.
  • To validate the applicability of the theory in describing Anderson localization.

Main Methods:

  • Derivation of theoretical predictions from the Vollhardt and Wolfle self-consistent theory.

Related Experiment Videos

  • Development and implementation of direct numerical simulations.
  • Comparative analysis of theoretical results and simulation data.

    • Main Results:

    • The Vollhardt and Wolfle theory provides simple and accurate predictions for transport dynamics.
    • Simulations in one- and two-dimensional systems confirm the theoretical predictions.
    • The study demonstrates the effectiveness of the theory in modeling Anderson localization.

    Conclusions:

    • The Vollhardt and Wolfle self-consistent theory is a reliable tool for predicting transport dynamics in disordered low-dimensional systems.
    • The findings support the theory's validity and its application in condensed matter physics research.
    • This work contributes to a deeper understanding of Anderson localization and its implications.