01

NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2015, 6 (1), P. 6–45

A NEW MODEL FOR QUANTUM DOT LIGHT EMITTING-ABSORBING DEVICES: PROOFS AND SUPPLEMENTS

H. Neidhardt – WIAS Berlin, Mohrenstr. 39, 10117 Berlin, Germany; hagen.neidhardt@wias-berlin.de
L. Wilhelm – WIAS Berlin, Mohrenstr. 39, 10117 Berlin, Germany
V. A. Zagrebnov – Institut de Mathématiques de Marseille – UMR 7373, CMI – Technopôle Château-Gombert 39, rue F. Joliot Curie, 13453 Marseille Cedex 13, France; Valentin.Zagrebnov@univ-amu.fr

Motivated by the Jaynes-Cummings (JC) model, we consider here a quantum dot coupled simultaneously to a reservoir of photons and to two electric leads (free-fermion reservoirs). This new Jaynes-Cummings-Leads (JCL) model permits a fermion current through the dot to create a photon flux, which describes a light-emitting device. The same model is also used to describe the transformation of a photon flux into a current of fermions, i.e. a quantum dot light-absorbing device. The key tool to obtain these results is the abstract Landauer-Büttiker formula.

Keywords: Landauer-Büttiker formula, Jaynes-Cummings model, coupling to leads, light emission, solar cells.

PACS 85.60.Jb, 88.40.H, 85.35.Be, 73.63.Kv, 42.50.Pq

DOI 10.17586/2220-8054-2015-6-1-6-45

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