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Phys. Rev. Lett. 100, 226805 (2008) [4 pages]

N-Particle Scattering Matrix for Electrons Interacting on a Quantum Dot

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A. V. Lebedev1,2, G. B. Lesovik2, and G. Blatter1
1Theoretische Physik, Schafmattstrasse 32, ETH-Zurich, CH-8093 Zürich, Switzerland
2L. D. Landau Institute for Theoretical Physics, RAS, 119334 Moscow, Russia

Received 24 October 2007; published 6 June 2008

We present a nonperturbative expression for the scattering matrix of N particles interacting inside a quantum dot. Characterizing the dot by its resonances, we find a compact form for the scattering matrix in a real-time representation. We study the transmission probabilities and interaction-induced orbital entanglement of two electrons incident on the dot in a spin-singlet state.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.226805
DOI:
10.1103/PhysRevLett.100.226805
PACS:
73.23.−b, 03.65.Nk, 03.67.Mn