Dr. Andrei D. Zaikin Profile

Dr. Andrei D. Zaikin

at Forschungszentrum Karlsruhe

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Proceedings Article | 25 May 2004 Paper

Statistics of current fluctuations and electron-electron interactions in mesoscopic coherent conductors

Dmitri Golubev, Artem Galaktionov, Andrei Zaikin

Proceedings Volume 5469, (2004) https://doi.org/10.1117/12.546717

KEYWORDS: Optical correlators, Statistical analysis, Scattering, Correlation function, Fluorescence correlation spectroscopy, Lead, Electron transport, Fermions, Resistance, Transparent conductors

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We formulate a general path integral approach which describes statistics of current fluctuations in mesoscopic coherent conductors at arbitrary frequencies and in the presence of interactions. Applying this approach to the non-interacting case, we analyze the frequency dispersion of the third cumulant of the current operator S₃ at frequencies well below both the inverse charge relaxation time and the inverse electron dwell time. This dispersion turns out to be important in the frequency range comparable to applied voltages. For comparatively transparent conductors it may lead to the sign change of S₃. We also analyze the behavior of the second cumulant of the current operator S₂ (current noise) in the presence of electron-electron interactions. In a wide range of parameters we obtain explicit universal dependencies of S₂ 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 Σ_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 Σ_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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