Weak localization effects in granular metals

Details Weak localization effects in granular metals Weak localization effects in granular metals

2005-04-07

arxiv.org/abs/cond-mat/0504169v2

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures; minor corrections added

Scientific paper

10.1103/PhysRevB.72.041102

The weak localization correction to the conductivity of a granular metal is calculated using the diagrammatic technique in the reciprocal grain lattice representation. The properties of this correction are very similar to that one in disordered metal, with the replacement of the electron mean free path $\ell $ by the grain diameter $d$ and the dimensionless conductance $g$ by the tunnelling dimensionless conductance $g_{T}$. In particular, we demonstrate that at zero temperature no conducting phase can exist for dimensions $D\leq 2$. We also analyze the WL correction to magnetoconductivity in the weak field limit.

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