Cross-correlation of two interacting conductors
arXiv:0801.1631 · doi:10.1103/PhysRevB.77.205323
Abstract
We calculate the current cross-correlation for two weakly interacting mesoscopic conductors. Our derivation is based on the two-particle scattering matrix derived in Goorden and Büttiker [Phys. Rev. Lett. {\bf 99}, 146801 (2007)]. We include the Fermi sea in the leads into the theory and show how to calculate transport quantities and specifically cross-correlations. We focus on the zero-frequency current cross-correlation of two chaotic quantum dots and calculate the magnitude of its fluctuations with the help of Random Matrix Theory.
7 pages, 2 figures (v2, minor changes, added references)
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- Scattering of electrons from an interacting region
- Nonequilibrium charge transport in an interacting open system: two-particle resonance and current asymmetry
- Effect of incoherent scattering on three-terminal quantum Hall thermoelectrics
- Scattering matrix approach to interacting electron transport