Transport of interacting electrons in arrays of quantum dots and diffusive wires

Details Transport of interacting electrons in arrays of quantum dots and diffusive wires Transport of interacting electrons in arrays of quantum dots and diffusive wires

2004-02-11

arxiv.org/abs/cond-mat/0402306v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 2 figures

Scientific paper

10.1103/PhysRevB.70.165423

We develop a detailed theoretical investigation of the effect of Coulomb interaction on electron transport in arrays of chaotic quantum dots and diffusive metallic wires. Employing the real time path integral technique we formulate a new Langevin-type of approach which exploits a direct relation between shot noise and interaction effects in mesoscopic conductors. With the aid of this approach we establish a general expression for the Fano factor of 1D quantum dot arrays and derive a complete formula for the interaction correction to the current which embraces all perturbative results previously obtained for various quasi-0D and quasi-1D disordered conductors and extends these results to yet unexplored regimes.

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