Variable range cotunneling and conductivity of a granular metal
Abstract
The Efros-Shklovskii law for the conductivity of granular metals is interpreted as a result of a variable range cotunneling process. The cotunneling between distant resonant grains is predominantly elastic at low T << Tc, while it is inelastic (i.e., accompanied by creation of electron-hole pairs on a string of intermediate non-resonant grains) at T > Tc. The corresponding E-S temperature TES in the latter case is slightly (logarithmically) T-dependent. The magnetoresistance in the two cases is different: it may be relatively strong and negative at T much below Tc, while at T>Tc it is suppressed due to inelastic processes which destroy the interference.
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