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 long-time limit when t is much larger than the diffusion traveling time tD. In this case the functional integral in the effective supersymmetric field theory is determined by the saddle-point contribution. If t is shorter than the inverse level spacing Δ (Δt/ħ<<1), then G(t) decays as exp[-t/tD]. In the ultra-long-time 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 saddle-point 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:cond-mat/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
- E-Print:
- 4 pages REVTeX