We show that in low dimensional disordered conductors, the quasiparticle decay and the relaxation of the phase are not exponential processes. In the quasi-one dimensional case, both behave at small time as $e^{ - (t/\tau_{ in})^{ 3/2}}$ where the inelastic time $\tau_{ in}$, identical for both processes, is a power $T^{ 2/3}$ of the temperature. This result implies the existence of an unusual distribution of relaxation times that we obtain.
Categories: cond-mat.mes-hall