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Transport in tight-binding bond percolation models.

Daniel Schmidtke1, Abdellah Khodja1, Jochen Gemmer1

  • 1Fachbereich Physik, Universität Osnabrück, Barbarastrasse 7, D-49069 Osnabrück, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 15, 2014
PubMed
Summary
This summary is machine-generated.

This study explores disordered quantum systems, finding that transport properties in delocalized regimes align with simple models and can sometimes be described by the Drude model.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Disordered Systems

Background:

  • Previous research on tight-binding, quantum percolation models primarily focused on the quantum percolation threshold, analogous to the Anderson transition.
  • Systems in the delocalized regime can still exhibit significant disorder, complicating the analysis of their transport properties.

Purpose of the Study:

  • To analyze the transport properties of disordered tight-binding, quantum percolation models in the delocalized regime.
  • To investigate the applicability of the Drude model and the Einstein relation to these systems.

Main Methods:

  • Utilized a numerical approach based on quantum typicality.
  • Performed linear response theory calculations.

Main Results:

  • Conductivity and mean free paths show good agreement with simple heuristic considerations.
  • Transport properties may or may not be described by a Drude model, depending on the density of hopping terms.
  • The Einstein relation was also investigated.

Conclusions:

  • The study provides insights into the transport behavior of disordered quantum systems beyond the percolation threshold.
  • Findings suggest that simplified models can be effective for certain aspects of transport in these complex systems.