A many-body approach to transport in quantum systems: from the transient regime to the stationary state
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A2 Katsausartikkeli tieteellisessä aikakauslehdessä
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Date
2022-07-08
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en
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87
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Journal of Physics A: Mathematical and Theoretical, Volume 55, issue 27, pp. 1-87
Abstract
We review one of the most versatile theoretical approaches to the study of time-dependent correlated quantum transport in nano-systems: the non-equilibrium Green's function (NEGF) formalism. Within this formalism, one can treat, on the same footing, inter-particle interactions, external drives and/or perturbations, and coupling to baths with a (piece-wise) continuum set of degrees of freedom. After a historical overview on the theory of transport in quantum systems, we present a modern introduction of the NEGF approach to quantum transport. We discuss the inclusion of inter-particle interactions using diagrammatic techniques, and the use of the so-called embedding and inbedding techniques which take the bath couplings into account non-perturbatively. In various limits, such as the non-interacting limit and the steady-state limit, we then show how the NEGF formalism elegantly reduces to well-known formulae in quantum transport as special cases. We then discuss non-equilibrium transport in general, for both particle and energy currents. Under the presence of a time-dependent drive-encompassing pump-probe scenarios as well as driven quantum systems-we discuss the transient as well as asymptotic behavior, and also how to use NEGF to infer information on the out-of-equilibrium system. As illustrative examples, we consider model systems general enough to pave the way to realistic systems. These examples encompass one- and two-dimensional electronic systems, systems with electron-phonon couplings, topological superconductors, and optically responsive molecular junctions where electron-photon couplings are relevant.Description
Keywords
quantum transport, many-body correlation, non-equilibrium Green's function, TIME-DEPENDENT TRANSPORT, DENSITY-FUNCTIONAL THEORY, ANDERSON-HOLSTEIN MODEL, KADANOFF-BAYM EQUATIONS, MEAN-FIELD THEORY, SHOT-NOISE, SINGLE-MOLECULE, GREENS-FUNCTION, COHERENT TRANSPORT, CHARGE MIGRATION
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Citation
Ridley, M, Talarico, N W, Karlsson, D, Lo Gullo, N & Tuovinen, R 2022, ' A many-body approach to transport in quantum systems: from the transient regime to the stationary state ', Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 27, 273001, pp. 1-87 . https://doi.org/10.1088/1751-8121/ac7119