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arXiv · 0801.1631

Cross-correlation of two interacting conductors

M. C. Goorden·M. Buttiker
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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.

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M. C. Goorden, M. Buttiker. 2008-05-28. Cross-correlation of two interacting conductors. https://doi.org/10.1103/physrevb.77.205323

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