Geodesic
A hybrid classical-quantum approach for ultra-scaled confined nanostructures : modeling and simulation
Naoufel Ben Abdallah1 ; Clément Jourdana1, 2 ; Paola Pietra2 ; Nicolas Vauchelet3
1 Institut de Mathématiques de Toulouse, Université Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse, France
2 Istituto di Matematica Applicata e Tecnologie Informatiche - CNR, Via Ferrata 1, 27100 Pavia, Italy
3 UPMC Univ Paris 06, UMR 7598, Laboratoire Jacques-Louis Lions, F-75005, Paris, France
ESAIM. Proceedings, Tome 35 (2012), pp. 239-244.

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We propose a hybrid classical-quantum model to study the motion of electrons in ultra-scaled confined nanostructures. The transport of charged particles, considered as one dimensional, is described by a quantum effective mass model in the active zone coupled directly to a drift-diffusion problem in the rest of the device. We explain how this hybrid model takes into account the peculiarities due to the strong confinement and we present numerical simulations for a simplified carbon nanotube.
DOI : 10.1051/proc/201235021

Naoufel Ben Abdallah 1 ; Clément Jourdana 1, 2 ; Paola Pietra 2 ; Nicolas Vauchelet 3

1 Institut de Mathématiques de Toulouse, Université Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse, France
2 Istituto di Matematica Applicata e Tecnologie Informatiche - CNR, Via Ferrata 1, 27100 Pavia, Italy
3 UPMC Univ Paris 06, UMR 7598, Laboratoire Jacques-Louis Lions, F-75005, Paris, France 
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     title = {A hybrid classical-quantum approach for ultra-scaled confined nanostructures : modeling and simulation},
     journal = {ESAIM. Proceedings},
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Naoufel Ben Abdallah; Clément Jourdana; Paola Pietra; Nicolas Vauchelet. A hybrid classical-quantum approach for ultra-scaled confined nanostructures : modeling and simulation. ESAIM. Proceedings, Tome 35 (2012), pp. 239-244. doi : 10.1051/proc/201235021. http://geodesic.mathdoc.fr/articles/10.1051/proc/201235021/

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