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Related Experiment Videos

Quantum percolation in granular metals.

M V Feigel'man1, A S Ioselevich, M A Skvortsov

  • 1L.D. Landau Institute for Theoretical Physics, Moscow 119334, Russia.

Physical Review Letters
|November 5, 2004
PubMed
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Quantum fluctuations in granular metal films significantly alter conductivity, especially at low energies. This study reveals how these fluctuations lead to a broad distribution, impacting the metal-insulator transition.

Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Materials science

Background:

  • Granular metal films exhibit complex electrical properties due to quantum effects.
  • Understanding quantum corrections to conductivity is crucial for materials science.

Purpose of the Study:

  • To develop a theory for quantum corrections to conductivity in granular metal films.
  • To investigate the impact of random tunnel conductances and quantum fluctuations on film conductivity.

Main Methods:

  • Development of a theoretical framework for quantum corrections.
  • Analysis of quantum fluctuations of intergrain voltages.
  • Application of matrix renormalization group equations (analytic and numerical).

Main Results:

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  • Quantum fluctuations suppress mean conductance more than its standard deviation at low energies.
  • A broad distribution of conductance arises at low energies, with standard deviation approximating mean conductance.
  • Strong local fluctuations in the tunneling density of states are observed.

Conclusions:

  • The theory explains quantum corrections for realistic, large random tunnel conductances.
  • The study establishes the percolative nature of the metal-insulator transition in these films.