Interacting Electrons in Disordered Wires: Anderson Localization and Low-TTransport

We study the conductivity (T) of interacting electrons in a low-dimensional disordered system at low temperature T. For weak interactions, the weak-localization regime crosses over with lowering T into a dephasing-induced ``power-law hopping. '' As T is further decreased, the Anderson localization in Fock space crucially affects (T), inducing a transition at T=T₂, so that (T<T₂) =0. The critical behavior of (T) above T₂ is ln (T) - (T-T₂) ^-1/2. The mechanism of transport in the critical regime is many-particle transitions between distant states in Fock space.