Shot Noise Current-Current Correlations in Multi-Terminal Diffusive Conductors

Details Shot Noise Current-Current Correlations in Multi-Terminal Diffusive Conductors Shot Noise Current-Current Correlations in Multi-Terminal Diffusive Conductors

1997-02-05

arxiv.org/abs/cond-mat/9702047v1

Phys. Rev. B 56, 2127 (1997)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, two-column Revtex, 7 figures included

Scientific paper

10.1103/PhysRevB.56.2127

We investigate the correlations in the current fluctuations at different terminals of metallic diffusive conductors. We start from scattering matrix expressions for the shot noise and use the Fisher-Lee relation in combination with diagram technique to evaluate the noise correlations. Of particular interest are exchange (interference) effects analogous to the Hanbury Brown--Twiss effect in optics. We find that the exchange effect exists in the ensemble averaged current correlations. Depending on the geometry, it might have the same magnitude as the mean square current fluctuations of the shot noise. The approach which we use is first applied to present a novel derivation of the 1/3-suppression of shot noise in a two-terminal geometry, valid for an arbitrary relation between the length and wire width. We find that in all geometries correlations are insensitive to dephasing.

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