Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2000-06-22
Phys. Rev. B 63, 115109 (2001)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
14 pages, 7 figures
Scientific paper
10.1103/PhysRevB.63.115109
We study the electronic properties of an array of small metallic grains connected by tunnel junctions. Such an array serves as a model for a granular metal. Previous theoretical studies of junction arrays were based on models of quantum dissipation which did not take into account the diffusive motion of electrons within the grains. We demonstrate that these models break down at sufficiently low temperatures: for a correct description of the screening properties of a granular metal at low energies the diffusive nature of the electronic motion within the grains is crucial. We present both a diagrammatic and a functional integral approach to analyse the properties of junction arrays. In particular, a new effective action is obtained which enables us to describe the array at arbitrary temperature. In the low temperature limit, our theory yields the correct, dynamically screened Coulomb interaction of a normal metal, whereas at high temperatures the standard description in terms of quantum dissipation is recovered.
Altland Alexander
Beloborodov Igor S.
Efetov Konstantin B.
Hekking Frank W. J.
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