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Scattering of Electrons from an Interacting Region

Dhar, Abhishek and Sen, Diptiman and Roy, Dibyendu (2008) Scattering of Electrons from an Interacting Region. In: Physical Review Letters, 101 (6). 066805-1-066805-4.

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Abstract

We address the problem of transmission of electrons between two noninteracting leads through a region where they interact (quantum dot). We use a model of spinless electrons hopping on a one-dimensional lattice and with an interaction on a single bond. We show that all two-particle scattering states can be found exactly. Comparisons are made with numerical results on the time evolution of a two-particle wave packet, and several interesting features are found. For N particles, the scattering state is obtained within a two-particle scattering approximation. For a dot connected to Fermi seas at different chemical potentials,we find an expression for the change in the Landauer current resulting from the interactions on the dot.We end with some comments on the case of spin-1/2 electrons.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to The American Physical Society.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 12 Sep 2008 05:16
Last Modified: 19 Sep 2010 04:49
URI: http://eprints.iisc.ernet.in/id/eprint/15722

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