Coherent transport in disordered metals out of equilibrium

Details Coherent transport in disordered metals out of equilibrium Coherent transport in disordered metals out of equilibrium

2001-06-13

arxiv.org/abs/cond-mat/0106238v1

Eur. Phys. J B 24, 525-540 (2001)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

16 pages, 13 figures

Scientific paper

10.1007/s10051-001-8706-1

We derive a formula for the quantum corrections to the electrical current for a metal out of equilibrium. In the limit of linear current-voltage characteristics our formula reproduces the well known Altshuler-Aronov correction to the conductivity of a disordered metal. The current formula is obtained by a direct diagrammatic approach, and is shown to agree with what is obtained within the Keldysh formulation of the non-linear sigma model. As an application we calculate the current of a mesoscopic wire. We find a current-voltage characteristics that scales with $eV/kT$, and calculate the different scaling curves for a wire in the hot-electron regime and in the regime of full non-equilibrium.

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