Non-exponential relaxations in disordered conductors

2004/05/21 by Gilles Montambaux, Eric Akkermans, Montambaux, Gilles +2
Computer Science · Materials Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems #Organic and Molecular Conductors Research #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.cond-mat/0405523

6 pages, LaTeX, 1 eps figure, contribution to the proceedings of the XXXIXth Moriond conference, La Thuile, Italy, January 2004

arxiv created 2004/05/21 · arxiv updated 2009/12/01

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.

Related

• Colloquium : Planckian dissipation in metals
• Long--time relaxation of current in a 2D weakly disordered conductor
• Dimension dependence of the conductance distribution in the non-metallic regimes
• Conductance fluctuations in the localized regime
• Nearly Localised States in Weakly Disordered Conductors. II. Beyond Diffusion Approximation