A Wide Temperature Range Unified Undoped Bulk Silicon Electron and Hole Mobility Model

Publication Date

4-1-2022

Document Type

Article

Publication Title

IEEE Transactions on Electron Devices

Volume

69

Issue

4

DOI

10.1109/TED.2022.3152471

First Page

1979

Last Page

1983

Abstract

For decades, there is no unified model developed for Silicon carriers from 4 K to above room temperature. In this article, a unified undoped silicon low field and high field mobility model for both electron in the 〈 100〉 and 〈 111〉 directions from 8 to 300 K and 430 K, respectively, and hole in the 〈 100〉 direction from 6 to 430 K is proposed and calibrated to the experiment. It is found that the Canali high field saturation model is sufficient to fit the 〈 111〉 experimental data but not the 〈 100〉 data due to the anisotropy-induced plateaus and negative differential velocity. Therefore, a modified Farahmand model is used. To allow parameter interpolation in anisotropic simulation, the modified Farahmand model is also calibrated for the 〈 111〉 direction. The model is then used to predict the mobility of electrons and holes in undoped Si at 4 K, which can be served as the initial calibration parameters when reliable experimental data is available for the technology computer-aided design (TCAD) model development.

Funding Number

2046220

Funding Sponsor

National Science Foundation

Keywords

Cryogenic silicon, high field mobility, low field mobility, technology computer-aided design (TCAD) simulation, velocity saturation

Department

Electrical Engineering

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