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Related Experiment Videos

Localization-delocalization transition in a two-dimensional quantum percolation model.

M Fhokrul Islam1, Hisao Nakanishi

  • 1Department of Physics, Purdue University, West Lafayette, Indiana 47907, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 23, 2008
PubMed
Summary
This summary is machine-generated.

Quantum particle transport in 2D disordered lattices reveals delocalized states at low disorder and specific energies. The study identifies distinct localization regimes, including exponential and power-law, before delocalization occurs.

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Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Disordered systems

Background:

  • Quantum transport in disordered systems is crucial for understanding material properties.
  • Percolation theory describes the behavior of connected clusters in random networks.
  • Localization phenomena affect electron transport in disordered materials.

Purpose of the Study:

  • Investigate quantum particle hopping transport in 2D randomly diluted percolation clusters.
  • Determine the conditions for delocalized states as a function of energy and disorder.
  • Characterize different localization regimes and transitions.

Main Methods:

  • Utilized finite-size scaling analysis.
  • Calculated transmission coefficient as a function of energy and disorder (q).
  • Studied systems on square and triangular lattices.

Main Results:

  • Delocalized states exist, dependent on energy and disorder (q < 15% away from band center).
  • Transmission near the band center is low, indicating behavior weaker than power-law localization.
  • Identified distinct localization regimes: exponential localization at high disorder, followed by power-law localization, then delocalization as disorder decreases.

Conclusions:

  • Quantum particle transport exhibits energy and disorder-dependent delocalization.
  • The system displays multiple localization regimes, transitioning from exponential to power-law before delocalization.
  • Finite-size scaling suggests delocalized states are possible in 2D disordered percolation clusters.