A review of recent advances in the spherical harmonics expansion method for semiconductor device simulation

K Rupp, C Jungemann, SM Hong, M Bina… - Journal of computational …, 2016 - Springer
The Boltzmann transport equation is commonly considered to be the best semi-classical
description of carrier transport in semiconductors, providing precise information about the …

A Monte Carlo simulation of anisotropic electron transport in silicon including full band structure and anisotropic impact‐ionization model

T Kunikiyo, M Takenaka, Y Kamakura… - Journal of Applied …, 1994 - pubs.aip.org
The physics of electron transport in bulk silicon is investigated by using a newly developed
Monte Carlo simulator which improves the state‐of‐the‐art treatment of hot carrier …

Impact ionization in silicon

E Cartier, MV Fischetti, EA Eklund… - Applied Physics …, 1993 - pubs.aip.org
The electron dynamics for electron energies up to 5 eV has been studied by soft x-ray
photoemission spectroscopy. Monte Carlo simulations have been performed to derive the …

Two-dimensional MOSFET simulation by means of a multidimensional spherical harmonics expansion of the Boltzmann transport equation

A Gnudi, D Ventura, G Baccarani, F Odeh - Solid-state electronics, 1993 - Elsevier
A spherical harmonics expansion method of the Boltzmann Transport Equation (BTE) is
applied to investigate the carrier energy spectrum of a two-dimensional MOSFET up to 3 eV …

Scaling the MOS transistor below 0.1/spl mu/m: methodology, device structures, and technology requirements

C Fiegna, H Iwai, T Wada, M Saito… - … on Electron Devices, 1994 - ieeexplore.ieee.org
This work is a systematic investigation of the feasibility of MOSFET's with a gate length
below 0.1/spl mu/m. Limits imposed on the scalability of oxide thickness and supply voltage …

Impact ionization model for full band Monte Carlo simulation

Y Kamakura, H Mizuno, M Yamaji, M Morifuji… - Journal of applied …, 1994 - pubs.aip.org
The. impact ionization rate in silicon is numerically derived from wave functions and energy
band structure based on an empirical pseudopotential method. The calculated impact …

Modeling electron and hole transport with full-band structure effects by means of the spherical-harmonics expansion of the BTE

MC Vecchi, M Rudan - IEEE Transactions on Electron Devices, 1998 - ieeexplore.ieee.org
The Spherical-Harmonics solution of the Boltzmann Transport Equation (BTE) in silicon is
generalized to the full-band case for both electrons and holes. The relevant scattering …

Theory of the Monte Carlo method for semiconductor device simulation

H Kosina, M Nedjalkov… - IEEE Transactions on …, 2000 - ieeexplore.ieee.org
A brief review of the semiclassical Monte Carlo (MC) method for semiconductor device
simulation is given, covering the standard MC algorithms, variance reduction techniques, the …

Multidimensional spherical harmonics expansion of Boltzmann equation for transport in semiconductors

D Ventura, A Gnudi, G Baccarani, F Odeh - Applied mathematics letters, 1992 - Elsevier
A spherical harmonics expansion method of the Boltzmann Transport Equation (BTE) in the
three-dimensional space is proposed. The method is quite general in terms of scattering …

An improved impact‐ionization model for high‐energy electron transport in Si with Monte Carlo simulation

R Thoma, HJ Peifer, WL Engl, W Quade… - Journal of applied …, 1991 - pubs.aip.org
A new model for impact ionization in Si is presented, which goes beyond the limitations of
the Keldysh formula and is based on a more realistic scheme developed starting from a first …