# Effects of dephasing on shot noise in an electronic Mach-Zehnder interferometer

Marquardt, F. and Bruder, C.. (2004) Effects of dephasing on shot noise in an electronic Mach-Zehnder interferometer. Physical Review B, Vol. 70, H. 12 , 125305, 16 S..

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Official URL: http://edoc.unibas.ch/dok/A5252841

We present a theoretical study of the influence of dephasing on shot noise in an electronic Mach-Zehnder interferometer. In contrast to phenomenological approaches, we employ a microscopic model where dephasing is induced by the fluctuations of a classical potential. This enables us to treat the influence of the environments fluctuation spectrum on the shot noise. We compare against the results obtained from a simple classical model of incoherent transport, as well as those derived from the phenomenological dephasing terminal approach, arguing that the latter runs into a problem when applied to shot-noise calculations for interferometer geometries. From our model, we find two different limiting regimes: If the fluctuations are slow as compared to the time scales set by voltage and temperature, the usual partition noise expression T(1-T ) is averaged over the fluctuating phase difference. For the case of fast` fluctuations, it is replaced by a more complicated expression involving an average over transmission amplitudes. The full current noise also contains other contributions, and we provide a general formula, as well as explicit expressions and plots for specific examples.