Non-exponential relaxations in disordered conductors

Abstract

We show that, in low dimensional conductors, the quasiparticle decay and the relaxation of the phase are not exponential processes. In quasi-one dimension, they scale as $e^{-(t/{\tau }_N{)}^{3/2}}$ where the characteristic time ${\tau }_{in}$, identical for both processes, is a power $T^{2/3}$ of the temperature. This result implies a distribution of relaxation times.

6 pages, LaTeX, 1 eps figure, contribution to the proceedings of the XXXIXth Moriond conference, La Thuile, Italy, January 2004