A new percolation theory for many-electron excitations at low temperatures

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Abstract
A new percolation theory for n-electron hopping in the low-temperature (large-n) limit is presented. Applied to the DC conductivity sigma the theory yields sigma varies as TP. While p can vary from system to system, it is typically large, of the order of 20. In another application the glass temperature, Te, of the electron glass is calculated. Here Te is the minimum temperature for which the ergodic hypothesis may be satisfied within reasonable experimental times. For the specific case of impurity conduction systems in germanium (concentration 1016 cm-3, compensation 1/2) Te=0.6 K. A related calculation of the entropy yields a low-temperature behaviour S varies as T2, and shows that the time evolution of the entropy is smooth.

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