Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-02-17
Phys. Rev. Lett. 101, 066805 (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
5 pages including 2 figures; this is the final version published in Physical Review Letters
Scientific paper
10.1103/PhysRevLett.101.066805
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 the 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 scattering. For N particles the scattering state is obtained by perturbation theory. 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.
Dhar Abhishek
Roy Dibyendu
Sen Diptiman
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