Many-electron correlations are likely in the hopping motion of localiz
ed charge carriers when the impurity band is approximately half-filled
. These correlations should make the Coulomb gap narrower than in the
Efros-Shklovskii one-electron limit. A narrowing of this sort, by abou
t an order of magnitude, has been observed experimentally in a ''K=0.3
'' lot of samples of neutron-transmutation-doped Ge:Ga.