Vv. Bryksin et P. Kleinert, CURRENT RELAXATION IN DISORDERED ONE-DIMENSIONAL AND 2-DIMENSIONAL SYSTEMS, Journal of physics. Condensed matter, 6(39), 1994, pp. 7879-7888
The current relaxation of disordered one- and two-dimensional systems
is treated on the basis of a self-consistent approach for the diffusio
n coefficient. At the predicted delocalization field strength a long-t
ime power law decay of the current is observed according to j(t) congr
uent-to t-1/2 if inelastic scattering processes are neglected. This sl
ow current relaxation should be measurable in one-dimensional systems.
The experimental verification of the results for a two-dimensional el
ectron gas is complicated on account of the fact that both the delocal
ization field strength and the characteristic decay time depend expone
ntially on the disorder parameter. The measurement of the slow 2D curr
ent relaxation requires very low carrier densities and extremely low t
emperatures.