INFORMAL SEMINAR on Statistical Physics
CM ICTP - Trieste
cm at ictp.it
Mon Nov 19 10:18:51 CET 2007
CONDENSED MATTER AND STATISTICAL PHYSICS SECTION
INFORMAL SEMINAR on Statistical Physics
Tuesday, 20 November - 12:30 p.m.
Seminar Room - Main Building 1st Floor
D. BASKO
( SISSA, Trieste )
" Many-Body Localization "
Abstract
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. The key result is
that in the absence of coupling of the electrons to any external bath
dc electrical conductivity exactly vanishes as long as the temperature
T does not exceed some finite value T_c. At the same time, it can be
also proven that at high enough T the conductivity is finite. These two
statement simply that the system undergoes a finite temperature
metal-insulator transition, which can be viewed as Anderson-like
localization of many-body wave functions in the Fock space. As a
result, in the insulating phase electron-electron interaction alone is
unable to cause the relaxation and establish the thermal equilibrium.
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