Transition from insulating to a non-insulating temperature dependence of the conductivity in granular metals

Details Transition from insulating to a non-insulating temperature dependence of the conductivity in granular metals Transition from insulating to a non-insulating temperature dependence of the conductivity in granular metals

2001-09-03

arxiv.org/abs/cond-mat/0109033v2

Europhys. Lett., 59, pp. 114-120 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, a mistake is corrected and several formulae added

Scientific paper

10.1209/epl/i2002-00166-9

We consider interaction effects in a granular normal metal at not very low temperatures. Assuming that all weak localization effects are suppressed by the temperature we replace the initial Hamiltonian by a proper functional of phases and study the possibility for a phase transition depending on the tunneling conductance $g$. It is demonstrated for any dimension that, while at small $g$ the conductivity decays with temperature exponentially, its temperature dependence is logarithmic at large $g.$ The formulae obtained are compared with an existing experiment and a good agreement is found.

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