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Titlebook: Quantum Transport in Interacting Nanojunctions; A Density Matrix App Andrea Donarini,Milena Grifoni Book 2024 The Editor(s) (if applicable)

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ero-state output of systems is computed for specific systems. The Hilbert transform, which is useful in developing complex signals with one-sided spectrum, is presented. The digital differentiator, which approximates the derivative, is described. Finally, the approximation of the DTFT and its invers
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The Quantum Transport Problem the understanding of the transport dynamics of a nanojunction is enriched by considering not only the average current but also higher order cumulants. Finally, we apply these concepts to define currents in nanoscopic set-ups.
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Transport in Molecular Junctionsrinsic electronic correlations. Vibrational effects are introduced with the help of the archetypal Anderson-Holstein model. The connection between microscopic parameters and transport characteristics is illustrated, with particular focus on the Franck-Condon blockade in molecular single electron tra
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Linear Transport within the Kubo Formalismsed in terms of the current response function of the nanojunction. This quantity is in general not accessible in analytic form. Matters simplify in the case of noninteracting nanojunctions, as we show on the example of archetypal .-site systems.
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Density Matrix Methods for Quantum Transporterator technique, developed by Nakajima and Zwanzig, and adapt it to fermionic environments. An exact generalized master equation for the reduced operator of an interacting nanojunction is derived. Further, the relevant equations for the current and its cumulants are discussed.
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