Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Convective scheme solution of the Boltzmann transport equation for nanoscale semiconductor devices

Journal Article · · Journal of Computational Physics
 [1]
  1. Department of Electrical and Computer Engineering, University of Wisconsin-Madison, Madison, WI 53706 (United States)

A model for the simulation of the electron energy distribution in nanoscale metal-oxide-semiconductor field-effect transistor (MOSFET) devices, using a kinetic simulation technique, is implemented. The convective scheme (CS), a method of characteristics, is an accurate method of solving the Boltzmann transport equation, a nonlinear integrodifferential equation, for the distribution of electrons in a MOSFET device. The method is used to find probabilities for use in an iterative scheme which iterates to find collision rates in cells. The CS is also a novel approach to 2D semiconductor device simulation. The CS has been extended to handle boundary conditions in 2D as well as to calculation of polygon overlap for polygons of more than three sides. Electron energy distributions in the channel of a MOSFET are presented.

OSTI ID:
21028299
Journal Information:
Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 227; ISSN JCTPAH; ISSN 0021-9991
Country of Publication:
United States
Language:
English

Similar Records

2D numerical simulation of the MEP energy-transport model with a finite difference scheme
Journal Article · Fri Feb 09 23:00:00 EST 2007 · Journal of Computational Physics · OSTI ID:20991556

A quantum energy transport model for semiconductor device simulation
Journal Article · Thu Feb 14 23:00:00 EST 2013 · Journal of Computational Physics · OSTI ID:22233559

Simulating nanoscale semiconductor devices.
Journal Article · Mon Feb 28 23:00:00 EST 2005 · Proposed for publication in the International Journal of High Speed Electronics and Systems. · OSTI ID:947283