Interacting electrons in disordered wires: Anderson localization and low-temperature transport

Physics – Condensed Matter – Disordered Systems and Neural Networks

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4+epsilon pages

Scientific paper

10.1103/PhysRevLett.95.206603

We study transport of interacting electrons in a low-dimensional disordered system at low temperature $T$. In view of localization by disorder, the conductivity $\sigma(T)$ may only be non-zero due to electron-electron scattering. 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 $\sigma(T)$, inducing a transition at $T=T_c$, so that $\sigma(T

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