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Localization length in two-dimensional disordered systems: effects of evanescent modes.

Vladimir Gasparian1, Akira Suzuki

  • 1Department of Physics, California State University, Bakersfield, CA 93311, USA.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|August 12, 2011
PubMed
Summary

Evanescent modes influence electron localization in 2D disordered systems. Their presence enhances the renormalized localization length (RLL), confirming states remain localized even with weak disorder.

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Area of Science:

  • Condensed matter physics
  • Disordered systems
  • Quantum mechanics

Background:

  • Electron localization is a key phenomenon in disordered systems.
  • Renormalized localization length (RLL) characterizes the degree of localization.
  • Evanescent modes, though non-propagating, can influence system behavior.

Purpose of the Study:

  • To investigate the impact of evanescent modes on the RLL in 2D disordered systems.
  • To analyze scaling behavior of RLL with increasing mode numbers.
  • To compare results from different theoretical models.

Main Methods:

  • Utilizing the delta-function potential strip model.
  • Employing the multichain tight-binding Anderson model.
  • Evaluating RLL for large numbers of modes (M) in the weak disorder regime.

Main Results:

  • RLL shrinks with increasing M, supporting electron localization in infinitely wide systems.
  • In the thermodynamic limit, the presence of evanescent modes enhances RLL.
  • An exact relationship between localization length and mean free path was derived for M-channel systems.

Conclusions:

  • Evanescent modes play a significant role in electron localization phenomena.
  • The findings align with existing theories on localization in disordered systems.
  • The study provides a deeper understanding of electron transport in quasi-1D systems.