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We study electronic transport in Anderson insulators with strong Coulombinteractions in dimensions d>=2. Close to the metal insulator transition wherethe single particle localization length is much larger thaninterparticle-distance, the interactions lead to a strongly correlated quantumglass phase. Even though single particle excitations are localized and thesystem is insulating, there are collective electronic modes which remaindelocalized down to parametrically small energies. These collective excitationsserve as a continuous bath which can provide the activation energy for variablerange hopping transport. This circumvents the energy conservation problemarising when only discrete particle-hole excitations are present. In contrastto the weak and material-dependent phonon-assisted hopping mechanism, theactivation by an electronic bath leads to a nearly universal prefactor e^2/h ofthe Efros-Shklovskii conductance, as is observed in many recent experiments.

Collective modes in quantum electron glasses and electron-assisted hopping