A theory for many-electron hopping rates

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Abstract
Hopping transport in disordered systems may occur by many-electron hopping excitations due to the Coulomb interaction between electrons. Expressions are derived for the many-electron hopping rates. The most important factors in the derived expression are an activation factor, a factor which is an exponential of the sum of the hopping distances of the electrons participating in the excitation, and a factor which is a measure of the significance of the interaction energy in comparison with the disorder energy. The first two of these factors were also found in previous theories. The theory breaks down when the number of electrons n participating in a hop becomes extremely large. But for typical conditions the theory is valid up to n approximately 100 or more.