Non-exponential relaxations in disordered conductors

Gilles Montambaux; Eric Akkermans

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arXiv · cond-mat/0405523

Non-exponential relaxations in disordered conductors

Gilles Montambaux·Eric Akkermans

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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 $e^{- (t/τ_N)^{3/2}}$ where the characteristic time $τ_{in}$, identical for both processes, is a power $T^{2/3}$ of the temperature. This result implies a distribution of relaxation times.

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Gilles Montambaux, Eric Akkermans. 2004-05-21. Non-exponential relaxations in disordered conductors. https://arxiv.org/abs/cond-mat/0405523

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