Hybrid fluid-quantum coupling for the simulation of the transport of partially quantized particles in a DG-MOSFET

• Autorzy: C. Jourdana , N. Vauchelet
• Języki publikacji: EN

Abstrakty

EN

This paper is devoted to numerical simulations of electronic transport in nanoscale semiconductor devices forwhich charged carriers are extremely confined in one direction. In such devices, like DG-MOSFETs, the subband decomposition method is used to reduce the dimensionality of the problem. In the transversal direction electrons are confined and described by a statistical mixture of eigenstates of the Schrödinger operator. In the longitudinal direction, the device is decomposed into a quantum zone (where quantum effects are expected to be large) and a classical zone (where they are negligible). In the largely doped source and drain regions of a DG-MOSFET, the transport is expected to be highly collisional; then a classical transport equation in diffusive regime coupled with the subband decomposition method is used for the modeling, as proposed in N. Ben Abdallah et al. (2006, Proc. Edind. Math. Soc. [7]). In the quantum region, the purely ballistic model presented in Polizzi et al. (2005, J. Comp. Phys. [25]) is used. This work is devoted to the hybrid coupling between these two regions through connection conditions at the interfaces. These conditions have been obtained in order to verify the continuity of the current. A numerical simulation for a DG-MOSFET, with comparison with the classical and quantum model, is provided to illustrate our approach.

Słowa kluczowe

EN

Schrödinger equation; subband decomposition; drift-diffusion system; semiconductors; interfaceconditions; mixed finite elements

Kategorie tematyczne

• 82D80: Nanostructures and nanoparticles
• 35J10: Schr\"odinger operator
• 65M60: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
• 76P05: Rarefied gas flows, Boltzmann equation
• 65Z05: Applications to physics
• 82D37: Semiconductors

• Wydawca: De Gruyter Open
• Czasopismo: Nanoscale Systems: Mathematical Modeling, Theory and Applications
• Rocznik: 2015
• Tom: 4
• Numer: 1

Daty

otrzymano

2015-01-07

zaakceptowano

2015-06-02

online

2015-09-04

Twórcy

autor

C. Jourdana

autor

N. Vauchelet

Bibliografia

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Identyfikatory

DOI

10.1515/nsmmt-2015-0001