Current Fluctuations and Electron-Electron Interactions in Coherent Conductors

Details Current Fluctuations and Electron-Electron Interactions in Coherent Conductors Current Fluctuations and Electron-Electron Interactions in Coherent Conductors

2002-12-19

arxiv.org/abs/cond-mat/0212494v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

16 pages, 2 figures

Scientific paper

10.1103/PhysRevB.68.085317

We analyze current fluctuations in mesoscopic coherent conductors in the presence of electron-electron interactions. In a wide range of parameters we obtain explicit universal dependencies of the current noise on temperature, voltage and frequency. We demonstrate that Coulomb interaction decreases the Nyquist noise. In this case the interaction correction to the noise spectrum is governed by the combination $\sum_nT_n(T_n-1)$, where $T_n$ is the transmission of the $n$-th conducting mode. The effect of electron-electron interactions on the shot noise is more complicated. At sufficiently large voltages we recover two different interaction corrections entering with opposite signs. The net result is proportional to $\sum_nT_n(T_n-1)(1-2T_n)$, i.e. Coulomb interaction decreases the shot noise at low transmissions and increases it at high transmissions.

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