Solution of the Wigner-Poisson Equations for RTDs

Abstract

We will discuss a parametric study of the solution of the Wigner-Poisson equations for resonant tunneling diodes. These structures exhibit self-sustaining oscillations in certain operating regimes. We show numerically that the phenomenon corresponds to a Hopf bifurcation, using the bias across the device as a continuation parameter. We will describe the engineering consequences of our study and how it is a significant advance from some previous work, which used much coarser grids. We use the LOCA package from Sandia National Laboratory. This package, and the underlying NOX and Trilinos software, enable effective parallelization. We report on the scalability of our implementation.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2004
Accession Number
ADA446723

Entities

People

  • A. G. Salinger
  • Carl Timothy Kelley
  • D. L. Woolard
  • M. S. Lasater
  • Puhan Zhao

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Electronics Laboratories
  • Engineering
  • Equations
  • Mathematics
  • North Carolina
  • Oscillation
  • Poisson Equation
  • Quantum Tunneling
  • Resonant Tunneling Diodes
  • Semiconductors
  • Simulations
  • Simulators
  • Steady State
  • Three Dimensional
  • Tunnel Diodes
  • United States
  • Voltage

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Control Systems Engineering.
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.