Non-exponential relaxations in disordered conductors

TL;DR

This paper demonstrates that in low-dimensional disordered conductors, quasiparticle decay and phase relaxation follow non-exponential, power-law-based decay laws with temperature-dependent characteristic times, indicating a broad distribution of relaxation times.

Contribution

It introduces a novel non-exponential relaxation law for quasiparticles and phase in low-dimensional conductors, revealing a temperature-dependent power-law decay.

Findings

Relaxation processes follow a stretched exponential form with exponent 3/2.

Characteristic relaxation time scales as T^{2/3}.

Results imply a broad distribution of relaxation times.

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.