Metal-Insulator Transition and Landau Fermi Liquid Theory

摘要

The discovery that interaction effects with disorder give anomalous correction terms to the normal Fermi liquid behavior of an electron system is discussed. In the pure disorder case the first quantum correction term due to the diffusion propagator in the particle-particle channel leads to a value equal to unity for the index specifying the power law behavior of the conductivity in terms of deviation from the critical impurity concentration. In the presence of either an external magnetic field or of magnetic impurities, this term is absent, and the leading higher order correction term due to the diffusion propagator in the particle-hole channel (diffusion) leads to a value of a half for the index. Explanations involving noninteracting electrons in disordered media, and correlation effects in nondisordered electron gas are reviewed.