Scattering matrix approach to the description of quantum electron transport

G.B. Lesovik^a, I.A. Sadovskyy^b
^aLandau Institute for Theoretical Physics, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 119334, Russian Federation
^bRutgers, The State University of New Jersey, 542 George Street, New Brunswick, NJ, 08901, USA

We consider the scattering matrix approach to quantum electron transport in meso- and nanoconductors. This approach is an alternative to the more conventional kinetic equation and Green’s function approaches, and is often more efficient for coherent conductors (especially when proving general relations) and typically more transparent. We provide a description of both time-averaged quantities (for example, current—voltage characteristics) and current fluctuations in time — noise, as well as full counting statistics of charge transport in a finite time. In addition to normal conductors, we consider contacts with superconductors and Josephson junctions.

Keywords: mesoscopics, scattering matrix, quantum contact, transport
PACS: 72.10.−d, 73.23.−b, 73.50.Td, 74.25.F−, 74.45.+c, 74.78.Na (all)
DOI: 10.3367/UFNe.0181.201110b.1041
URL: https://ufn.ru/en/articles/2011/10/b/
Web of Science

000299541300002
Scopus

2-s2.0-84855982483
ADS NASA

2011PhyU...54.1007L
Citation: Lesovik G B, Sadovskyy I A "Scattering matrix approach to the description of quantum electron transport" Phys. Usp. 54 1007–1059 (2011)

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@article{Lesovik:2011,
	author = {G. B. Lesovik and I. A. Sadovskyy},
	title = {Scattering matrix approach to the description of quantum electron transport},
	publisher = {Physics-Uspekhi},
	year = {2011},
	journal = {Phys. Usp.},
	volume = {54},
	number = {10},
	pages = {1007-1059},
	url = {https://ufn.ru/en/articles/2011/10/b/},
	doi = {10.3367/UFNe.0181.201110b.1041}
}

Received: 12th, December 2010, accepted: 22nd, December 2010

Оригинал: Лесовик Г Б, Садовский И А «Описание квантового электронного транспорта с помощью матриц рассеяния» УФН 181 1041–1096 (2011); DOI: 10.3367/UFNr.0181.201110b.1041