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Non exponential quasiparticle decay and phase relaxation in low dimensional conductors

Gilles Montambaux·Eric Akkermans
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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 $e^{- (t/τ_{in})^{3/2}}$ where the inelastic time $τ_{in}$, 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.

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Gilles Montambaux, Eric Akkermans. 2005-05-22. Non exponential quasiparticle decay and phase relaxation in low dimensional conductors. https://doi.org/10.1103/physrevlett.95.016403

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