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Related Experiment Videos

Universal conductance distributions in the crossover between diffusive and localization regimes.

A García-Martín1, J J Sáenz

  • 1Departamento de Física de la Materia Condensada and Instituto de Ciencia de Materiales "Nicolás Cabrera," Universidad Autónoma de Madrid, E-28049 Madrid, Spain.

Physical Review Letters
|September 5, 2001
PubMed
Summary

Conductance distribution in quasi-one-dimensional wires with rough surfaces depends on average conductance. In crossover regimes, it follows log-normal or random matrix theory predictions for specific average conductance ranges.

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Area of Science:

  • Condensed matter physics
  • Mesoscopic physics

Background:

  • Understanding electron transport in low-dimensional systems is crucial.
  • Surface roughness significantly impacts conductance properties.
  • The transition from diffusive to localized transport regimes is complex.

Purpose of the Study:

  • To analyze the full distribution of conductance P(G) in quasi-one-dimensional wires with rough surfaces.
  • To investigate the scaling behavior of P(G) in the crossover regime.
  • To compare numerical results with theoretical predictions.

Main Methods:

  • Numerical analysis of conductance distribution P(G).
  • Investigation across diffusive and localization regimes.
  • Focus on systems dominated by one or two eigenchannels.

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Main Results:

  • P(G) is independent of system details in the crossover region, scaled by average conductance .
  • For
  • For e(2)/h< ≤ 2e(2)/h, P(G) matches random matrix theory for two transmission eigenchannels.

Conclusions:

  • The conductance distribution in quasi-1D wires exhibits distinct behaviors depending on the average conductance.
  • Numerical findings support theoretical models in specific regimes.
  • Average conductance is a key parameter governing electron transport statistics in these systems.