Non exponential quasiparticle decay and phase relaxation in low dimensional conductors

TL;DR

This paper demonstrates that in low-dimensional disordered conductors, quasiparticle decay and phase relaxation follow non-exponential, power-law-like behaviors at small times, revealing an unusual distribution of relaxation times.

Contribution

It introduces a novel non-exponential decay model for quasiparticles and phase relaxation in low-dimensional conductors, with explicit temperature dependence.

Findings

Decay and phase relaxation are non-exponential at small times.

The decay follows an e^{-(t/τ_in)^{3/2}} form in quasi-one-dimensional conductors.

The inelastic time τ_in scales as T^{2/3} with temperature.

Abstract

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.