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Resonant Anderson localization in segmented wires.

Cristian Estarellas1, Llorenç Serra1,2

  • 1Institut de Física Interdisciplinària i de Sistemes Complexos, IFISC (CSIC-UIB), E-07122 Palma de Mallorca, Spain.

Physical Review. E
|April 15, 2016
PubMed
Summary
This summary is machine-generated.

We modeled random segmented wires where bends scatter electrons, leading to Anderson localization. Electron wave behavior transitions from localized to diffusive and ballistic as energy changes.

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Area of Science:

  • Condensed matter physics
  • Mesoscopic physics
  • Quantum transport

Background:

  • Understanding electron wave behavior in disordered systems is crucial for nanoscale electronics.
  • Anderson localization describes the suppression of electron wave propagation due to scattering.
  • Segmented wires with bends offer a unique geometry for studying quantum transport phenomena.

Purpose of the Study:

  • To investigate electron wave propagation and localization in a model of random segmented wires.
  • To analyze the influence of segment length and number on electron localization.
  • To explore the energy-dependent transport regimes (localized, diffusive, ballistic) in finite segmented wires.

Main Methods:

  • Development of a theoretical model for random segmented wires with linear segments and circular bends.
  • Analysis of electron wave scattering at the joining vertices.
  • Calculation of probability distributions and conductance plateaus as a function of energy and segment number.

Main Results:

  • Resonant Anderson localization occurs when wire segments are of similar length.
  • Localization effects are observed with single or multiple propagating modes.
  • Probability distributions transition from diffusive to localized regimes with increasing segment count.
  • Finite segmented wires exhibit localized, diffusive, and ballistic behavior across energy-dependent conductance plateaus.

Conclusions:

  • The model provides insights into Anderson localization in segmented mesoscopic systems.
  • Segment length uniformity is key to observing resonant localization.
  • Energy-driven transitions between transport regimes are characteristic of finite segmented wires.