Renormalized Fermi Liquid Theory for Disordered Electron Systems and the Metal-Insulator Transition

摘要

Anderson localization and electron-electron interaction theory is reviewed. The Landau parameters, related to the interaction amplitudes, are renormalized by disorder and acquire a scale dependence. By studying their renormalization group equations, universality classes of the metal-insulator transition driven by the electron mutual interaction in the presence of disorder are obtained. Whenever there is a magnetic coupling in the system, the predictions of Fermi liquid theory for the disordered interacting electron systems fully check with experimental results. In the general case of nonmagnetic impurities, although the theoretical predictions of a strong enhancement of the spin susceptibility and of the specific heat coefficient are confirmed by the experiments, more theoretical and experimental work is required to fully understand the transition and distinguish between the various hypotheses.