Decoherence and interactions in an electronic Mach-Zehnder interferometer

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dc.creatorChalker, J. T.
dc.creatorGefen, Yuval
dc.creatorVeillette, M. Y.
dc.date2007-03-06
dc.date2009-01-22
dc.date.accessioned2026-07-07T12:32:39Z
dc.date.available2026-07-07T12:32:39Z
dc.descriptionWe develop a theoretical description of a Mach-Zehnder interferometer built from integer quantum Hall edge states, with an emphasis on how electron-electron interactions produce decoherence. We calculate the visibility of interference fringes and noise power, as a function of bias voltage and of temperature. Interactions are treated exactly, by using bosonization and considering edge states that are only weakly coupled via tunneling at the interferometer beam-splitters. In this weak-tunneling limit, we show that the bias-dependence of Aharonov-Bohm oscillations in source-drain conductance and noise power provides a direct measure of the one-electron correlation function for an isolated quantum Hall edge state. We find the asymptotic form of this correlation function for systems with either short-range interactions or unscreened Coulomb interactions, extracting a dephasing length $\ell_ϕ$ that varies with temperature $T$ as $\ell_ϕ \propto T^{-3}$ in the first case and as $\ell_ϕ \propto T^{-1} \ln^2(T)$ in the second case.
dc.description12 pages, 8 figure. Published version
dc.identifierhttps://arxiv.org/abs/cond-mat/0703162
dc.identifierhttp://arxiv.org/abs/cond-mat/0703162
dc.identifierPhys. Rev. B 76, 085320 (2007)
dc.identifierdoi:10.1103/PhysRevB.76.085320
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216850
dc.subjectMesoscale and Nanoscale Physics
dc.titleDecoherence and interactions in an electronic Mach-Zehnder interferometer
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