Yasuhisa Omura^1,2*

¹ORDIST, Kansai University, Japan
²Academic Collaboration Associate, Japan

*Corresponding Author: Yasuhisa Omura, ORDIST, Kansai University, Japan.

Received: June 24, 2021; Published: August 05, 2021

Abstract

Though it is known that diffusion constant plays an important role in analyses of transport characteristics of physically-confined wire-type transistors and prediction of the Seebeck coefficient of materials, generally speaking, the computation technique is not so easy. This paper theoretically elucidates the significant impact of crystal orientation and conduction band nonparabolicity on the estimation of the diffusion constant of Si nanowires confined by various surfaces. In this paper, an analytical expression of the diffusion constant that is valid at around room temperature is approximately derived based on the quantum statistical physics, and its behaviors are numerically examined in detail. For the case of Si wires, it is shown that the diffusion constant is insensitive to width of wire cross-section if the physical confinement is provided by the (111) surface, while it rapidly falls as the width is reduced for confinement by the (001) surface or (110) surface, regardless of nonparabolicity factors. It is suggested that such behaviors of the diffusion constant are primarily determined by the characteristic time. These behaviors of diffusion constant offer selective application to energy harvesting or to wire-type MOS devices for integrated circuits.

Keywords: Diffusion Constant; One Dimension; Si Nano Wires; Conduction Band; Nonparabolicity; Crystal Orientation

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Citation

Citation: Yasuhisa Omura. “Theoretical Prediction on Impacts of Crystal Orientation and Conduction Band Nonparabolicity on Diffusion Constant of Nano-Scale Rectangular Si Wires". Acta Scientific Applied Physics 2.3 (2021): 52-61.

Copyright

Copyright: © 2021 Yasuhisa Omura. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.