Numeerisen analyysin ja laskennallisen tieteen seminaari

31.1.2005  klo 14.15  U322

Antti-Pekka Jauho, Department of Micro and Nanotechnology, Technical University of Denmark

Current and fluctuations in quantum shuttles

We introduce and review the properties of electron shuttles, i.e. nanoelectromechanical devices that transport electrons one-by-one by utilizing a combination of electronic and mechanical degrees of freedom. The emphasis is on the extreme quantum limit, where the mechanical motion is quantized. We introduce the main theoretical tools needed for the analysis, e.g. generalized master equations and Wigner functions, and we outline the methods how the resulting large numerical problems can be handled. Illustrative results are given for current, noise, and full counting statistics for a number of model systems. Throughout the review we focus on the physics behind the various approximations, and some simple examples are given to illustrate the theoretical concepts. The experimental status is reviewed.


Recent journal articles from our group:

1. T. Novotny, A. Donarini, and A.-P. Jauho, "Quantum Shuttle in Phase Space", Phys. Rev. Lett. 90, 256801 (2003) (cond-mat/0301441)

2. T. Novotny, C. Flindt, and A.-P. Jauho, "Shot Noise of a Quantum Shuttle", Phys. Rev. Lett. 92, 248302 (2004) (cond-mat/0402597)

3. C. Flindt, T. Novotny, and A.-P. Jauho, "Current noise in a vibrating quantum dot array", Phys. Rev. B 70, 205334 (2004) (cond-mat/0405512)

4. C. Flindt, T. Novotny, and A.-P. Jauho, "Full counting statistics of nano-electromechanical systems", to appear in Europhys. Lett. (2005) (cond-mat/0410322)

5. C. Flindt, T. Novotny, and A.-P. Jauho, "Current noise spectrum of a quantum shuttle", to appear in Proceedings of FQMT04, Physica E (2005) (cond-mat/0412425)