Electron transport in silicon nanowires having different cross-sections

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Abstract

Transport phenomena in silicon nanowires with different cross-section are investigated using an Extended Hydrodynamic model, coupled to the Schrödinger-Poisson system. The model has been formulated by closing the moment system derived from the Boltzmann equation on the basis of the maximum entropy principle of Extended Thermodynamics, obtaining explicit closure relations for the high-order uxes and the production terms. Scattering of electrons with acoustic and non polar optical phonons have been taken into account. The bulk mobility is evaluated for square and equilateral triangle cross-sections of the wire.

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Muscato, O., & Castiglione, T. (2016). Electron transport in silicon nanowires having different cross-sections. In Communications in Applied and Industrial Mathematics (Vol. 7, pp. 8–25). Walter de Gruyter GmbH. https://doi.org/10.1515/caim-2016-0003

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