Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states

• Published in: Annals of physics Vol. 321; no. 5; pp. 1126 - 1205
• Main Authors: Basko, D.M., Aleiner, I.L., Altshuler, B.L.
• Format: Journal Article
• Language: English
• Published: New York Elsevier Inc 01.05.2006; Elsevier BV; Elsevier Masson
• Subjects: Anderson localization; BOLTZMANN EQUATION; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Condensed Matter; DISTRIBUTION FUNCTIONS; EIGENSTATES; ELECTRIC CONDUCTIVITY; ELECTRON-ELECTRON INTERACTIONS; ELECTRONS; FOCK REPRESENTATION; Fock space; HAMILTONIANS; MANY-BODY PROBLEM; MATHEMATICAL SPACE; Mesoscopic Systems and Quantum Hall Effect; Metal–insulator transition; PERTURBATION THEORY; PHONONS; Physics; PROBABILITY; QUANTUM MECHANICS; RELAXATION; SYMMETRY; THERMAL EQUILIBRIUM; TRANSITION TEMPERATURE; WAVE FUNCTIONS; Anderson localization; 73.23.−b; Metal–insulator transition; Fock space; 71.30.+h; 73.20.Fz

We consider low-temperature behavior of weakly interacting electrons in disordered conductors in the regime when all single-particle eigenstates are localized by the quenched disorder. We prove that in the absence of coupling of the electrons to any external bath dc electrical conductivity exactly v...