Investigation of the Transport Properties of Silicon Nanowires Using Deterministic and Monte Carlo Approaches to the Solution of the Boltzmann Transport Equation

2008 ◽  
Vol 55 (8) ◽  
pp. 2086-2096 ◽  
Author(s):  
Marco Lenzi ◽  
Pierpaolo Palestri ◽  
Elena Gnani ◽  
Susanna Reggiani ◽  
Antonio Gnudi ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Transport Equation ◽  
Transport Properties ◽  
Silicon Nanowires ◽  
Boltzmann Transport Equation ◽  
Boltzmann Transport

scholarly journals Spherical Harmonic Modeling of a 0.05 μm Base BJT: A Comparison with Monte Carlo and Asymptotic Analysis

VLSI Design ◽  
1998 ◽  
Vol 8 (1-4) ◽  
pp. 147-151 ◽  
Author(s):  
C.-H. Chang ◽  
C.-K. Lin ◽  
N. Goldsman ◽  
I. D. Mayergoyz
Keyword(s):  
Monte Carlo ◽  
Distribution Function ◽  
Band Structure ◽  
Asymptotic Analysis ◽  
Energy Distribution ◽  
Transport Equation ◽  
Spherical Harmonic ◽  
Boltzmann Transport Equation ◽  
System Of Equations ◽  
Boltzmann Transport

We perform a rigorous comparison between the Spherical Harmonic (SH) and Monte Carlo (MC) methods of solving the Boltzmann Transport Equation (BTE), on a 0.05 μm base BJT. We find the SH and the MC methods give very similar results for the energy distribution function, using an analytical band-structure, at all points within the tested devices. However, the SH method can be as much as seven thousand times faster than the MC approach for solving an identical problem. We explain the agreement by asymptotic analysis of the system of equations generated by the SH expansion of the BTE.

Effects of Chirality and Diameter on Electron Transport Properties in Individual Semiconducting Carbon Nanotubes

2007 ◽  
Vol 1017 ◽  
Author(s):  
M. Zahed Kauser ◽  
P. Paul Ruden
Keyword(s):  
Carbon Nanotubes ◽  
Monte Carlo ◽  
Electron Transport ◽  
Transport Properties ◽  
Boltzmann Transport Equation ◽  
Single Wall Carbon Nanotubes ◽  
Iterative Technique ◽  
Boltzmann Transport ◽  
Ensemble Monte Carlo ◽  
Electron Transport Properties

AbstractWe report on the effects of chirality and diameter on the electron transport properties in individual semiconducting, single wall carbon nanotubes. The Boltzmann transport equation is solved indirectly by the Ensemble Monte Carlo method and directly by Rode's iterative technique. Results show considerable effects of chirality and group on band structure and transport properties of tubes with small diameters. However the effects of chirality and group become negligible for tubes with large diameters. Diameter affects these properties more strongly than either chirality or group.

Sign in / Sign up

Export Citation Format

Share Document