Two-particle scattering matrix of two interacting mesoscopic conductors

Phys Rev Lett. 2007 Oct 5;99(14):146801. doi: 10.1103/PhysRevLett.99.146801. Epub 2007 Oct 1.

Abstract

We consider two quantum coherent conductors interacting weakly via long range Coulomb forces. We describe the interaction in terms of two-particle collisions described by a two-particle scattering matrix. As an example we determine the transmission probability and correlations in a two-particle scattering experiment and find that the results can be expressed in terms of the density-of-states matrices of the noninteracting scatterers.