Cross-correlation of two interacting conductors

Details Cross-correlation of two interacting conductors Cross-correlation of two interacting conductors

2008-01-10

arxiv.org/abs/0801.1631v3

Phys. Rev. B 77, 205323 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 2 figures (v2, minor changes, added references)

Scientific paper

10.1103/PhysRevB.77.205323

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 B\"uttiker [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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