Ym. Blanter et M. Buttiker, SHOT-NOISE CURRENT-CURRENT CORRELATIONS IN MULTITERMINAL DIFFUSIVE CONDUCTORS, Physical review. B, Condensed matter, 56(4), 1997, pp. 2127-2136
We investigate the correlations in the current fluctuations at differe
nt terminals of metallic diffusive conductors. We start from scatterin
g matrix expressions for the shot noise and use the Fisher-Lee relatio
n in combination with diagram technique to evaluate the noise correlat
ions. Of particular interest are exchange (interference) effects analo
gous to the Hanbury Brown-Twiss effect in optics. We find that the exc
hange effect exists in the ensemble-averaged current correlations. Dep
ending on the geometry, it might have the same magnitude as the mean-s
quare current fluctuations of the shot noise. The approach that we use
is also applied to present a different derivation of the 1/3 suppress
ion of shot noise in a two-terminal geometry, which is valid for an ar
bitrary relation between the length and wire width. We find that in al
l geometries correlations are insensitive to dephasing.