A2 Katsausartikkeli tieteellisessä aikausilehdessä
A many-body approach to transport in quantum systems : From the transient regime to the stationary state (2022)

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, 55(27), Article 273001. https://doi.org/10.1088/1751-8121/ac7119

JYU-tekijät tai -toimittajat

Julkaisun tiedot

Julkaisun kaikki tekijät tai toimittajat: Ridley, Michael; Talarico, N. Walter; Karlsson, Daniel; Lo Gullo, Nicola; Tuovinen, Riku

Lehti tai sarja: Journal of Physics A : Mathematical and Theoretical

ISSN: 1751-8113

eISSN: 1751-8121

Julkaisuvuosi: 2022

Ilmestymispäivä: 18.05.2022

Volyymi: 55

Lehden numero: 27

Artikkelinumero: 273001

Kustantaja: IOP Publishing

Julkaisumaa: Britannia

Julkaisun kieli: englanti

DOI: https://doi.org/10.1088/1751-8121/ac7119

Julkaisun avoin saatavuus: Avoimesti saatavilla

Julkaisukanavan avoin saatavuus: Osittain avoin julkaisukanava

Julkaisu on rinnakkaistallennettu (JYX): https://jyx.jyu.fi/handle/123456789/82152

Julkaisu on rinnakkaistallennettu: https://arxiv.org/abs/2201.02646

Tiivistelmä

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.

YSO-asiasanat: kvanttifysiikka

Liittyvät organisaatiot

Hankkeet, joissa julkaisu on tehty

OKM-raportointi: Kyllä

Raportointivuosi: 2022

JUFO-taso: 2