Nearly localized states in weakly disordered conductors
Abstract
The time dispersion of the averaged conductance G(t) of a mesoscopic sample is calculated in the longtime limit when t is much larger than the diffusion traveling time t_{D}. In this case the functional integral in the effective supersymmetric field theory is determined by the saddlepoint contribution. If t is shorter than the inverse level spacing Δ (Δt/ħ<<1), then G(t) decays as exp[t/t_{D}]. In the ultralongtime limit (Δt/ħ>>1) the conductance G(t) is determined by the electron states that are poorly connected with the outside leads. The probability to find such a state decreases more slowly than any exponential function as t tends to infinity. It is worth mentioning that the saddlepoint equation looks very similar to the well known Eilenberger equation in the theory of dirty superconductors.
 Publication:

Physical Review B
 Pub Date:
 February 1995
 DOI:
 10.1103/PhysRevB.51.5480
 arXiv:
 arXiv:condmat/9410003
 Bibcode:
 1995PhRvB..51.5480M
 Keywords:

 73.40.Gk;
 05.45.+b;
 73.20.Dx;
 72.20.My;
 Tunneling;
 Galvanomagnetic and other magnetotransport effects;
 Condensed Matter
 EPrint:
 4 pages REVTeX