We study the conductivity σ(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 σ(T), inducing a transition at T=Tc, so that σ(T<Tc)=0. The critical behavior of σ(T) above Tc is lnσ(T)∝-(T-Tc)^-1/2. The mechanism of transport in the critical regime is many-particle transitions between distant states in Fock space.
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Gornyi et al. (2005) studied this question.