Abstract

Physics of itinerant electrons is governed by the combined effect of disorder and e-e interactions. Such systems display singular corrections in transport and thermodynamics and can be described in terms of a scale-dependent Fermi liquid. The metal-insulator transition (MIT) in the presence of interactions is a non-trivial example of a quantum phase transition. The dynamical exponent characterizing this transition is determined by a renormalization group equation. In two dimensions, the MIT can be discussed in terms of a flow in the disorder-interaction phase plane. The Wiedemann-Franz law holds for short range interactions, but is violated by the long-range Coulomb interactions.

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