Self-consistent electron counting statistics

Details Self-consistent electron counting statistics Self-consistent electron counting statistics

2010-04-30

arxiv.org/abs/1004.5532v2

J. Phys.: Condens. Matter 23 025304 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 2 figures

Scientific paper

10.1088/0953-8984/23/2/025304

We develop a self-consistent version of perturbation theory in Liouville space which seeks to combine the advantages of master equation approaches in quantum transport with the nonperturbative features that a self-consistent treatment brings. We describe how counting fields may be included in a self-consistent manner in this formalism such that the full counting statistics can be calculated. NonMarkovian effects are also incorporated. Several different self-consistent approximations are introduced and we discuss their relative strengths with a simple example.

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