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Related Concept Videos

The Anderson-Darling Test01:16

The Anderson-Darling Test

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Related Experiment Video

Updated: May 24, 2026

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
09:19

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light

Published on: July 29, 2013

Anomalously suppressed localization in the two-channel Anderson model.

Ba Phi Nguyen1, Kihong Kim

  • 1Division of Energy Systems Research, Ajou University, Suwon 443-749, Korea.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|March 13, 2012
PubMed
Summary

Increasing interchain hopping enhances localization in a two-channel Anderson model. New spectral anomalies, linked to interchain coupling, appear beyond the usual band center, revealing complex delocalization behaviors in disordered systems.

Related Experiment Videos

Last Updated: May 24, 2026

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
09:19

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light

Published on: July 29, 2013

Area of Science:

  • Condensed Matter Physics
  • Disordered Systems
  • Quantum Transport

Background:

  • Anderson localization describes the suppression of electron wave function propagation in disordered materials.
  • Quasi-one-dimensional systems offer a bridge between strictly 1D and higher-dimensional disordered models.
  • Understanding localization is crucial for designing novel electronic and photonic devices.

Purpose of the Study:

  • To numerically investigate the localization properties of a two-channel quasi-one-dimensional Anderson model.
  • To analyze the impact of interchain hopping strength on electron localization.
  • To identify and characterize novel spectral anomalies in disordered systems.

Main Methods:

  • Numerical simulations using the nearest-neighbor tight-binding approximation.
  • Calculation of disorder-averaged transmittance.
  • Analysis of the Lyapunov exponent as a function of energy and interchain hopping strength.

Main Results:

  • Enhanced localization with increased interchain hopping strength (t̃).
  • Discovery of new spectral anomalies at E = ± t̃/2 and ± t̃, beyond the typical band center anomaly.
  • Distinct behaviors of anomalies related to intra-band (E = ± t̃) and inter-band (E = ± t̃/2) π-coupling.
  • Observation of effectively delocalized states in finite-size systems for specific parameter ranges.

Conclusions:

  • Interchain hopping significantly influences localization in quasi-1D disordered systems.
  • Novel spectral anomalies provide insights into the complex interplay of disorder and dimensionality.
  • The study reveals conditions for observing delocalized states, relevant for potential applications.