Two-particle scattering matrix of two interacting mesoscopic conductors

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 non-interacting scatterers.

4 pages, 2 figures

References in corpus (4)

• Decoherence and single electron charging in an electronic Mach-Zehnder interferometer
• Tunable Noise Cross-Correlations in a Double Quantum Dot
• Conditional statistics of electron transport in interacting nanoscale conductors
• Coherence oscillations in dephasing by non-Gaussian shot noise

Cited by in corpus (5)

• Shot Noise in SU(N) Quantum Dot Kondo Effects
• Scattering of electrons from an interacting region
• On the validity and breakdown of the Onsager symmetry in mesoscopic conductors interacting with environments
• N-particle scattering matrix for electrons interacting on a quantum dot
• Cross-correlation of two interacting conductors