Nonexponential Quasiparticle Decay and Phase Relaxation in Low-Dimensional Conductors

摘要

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/τ_(in))~(3/2)) the inelastic time, 觃(in), identical for both processes, is a power T~(-2/3) of the temperature. The nonexponential quasiparticle decay results from a modified derivation of the Fermi golden rule. This result implies the existence of an unusual distribution of relaxation times.