Solution of the Wigner-Poisson Equations for RTDs
نویسندگان
چکیده
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.
منابع مشابه
Parallel parameter study of the Wigner-Poisson equations for RTDs
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 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 LOCA and other packages in the Trilinos f...
متن کاملNumerical solution and simulation of random differential equations with Wiener and compound Poisson Processes
Ordinary differential equations(ODEs) with stochastic processes in their vector field, have lots of applications in science and engineering. The main purpose of this article is to investigate the numerical methods for ODEs with Wiener and Compound Poisson processes in more than one dimension. Ordinary differential equations with Ito diffusion which is a solution of an Ito stochastic differentia...
متن کاملUsing VICTORY PROCESS for Rapid Geometry Prototyping Including Advanced Geometrical Operations
This article describes a model for Resonant Tunneling Diodes (RTDs) implemented within ATLAS framework. The model is based on a self-consistent solution of Poisson and Non-Equilibrium Green’s Function (NEGF) equations with an effective mass Hamiltonian. Simulation results are presented for generic GaAs and SiGe RTDs.
متن کاملSimulation of Resonant Tunneling Diodes Using ATLAS
This article describes a model for Resonant Tunneling Diodes (RTDs) implemented within ATLAS framework. The model is based on a self-consistent solution of Poisson and Non-Equilibrium Green’s Function (NEGF) equations with an effective mass Hamiltonian. Simulation results are presented for generic GaAs and SiGe RTDs.
متن کاملEnhancement of Numerical Computations of the Wigner-Poisson Equations for Application to the Simulation of THz-Frequency RTD Oscillators
Resonant tunneling diodes (RTDs) are ultra-small semiconductor devices that have potential as very high frequency oscillators. To describe the electron transport within these devices, the Wigner-Poisson Equations are used. These equations incorporate quantum mechanics to describe how the electron distribution changes in time due to kinetic energy, potential energy, and scattering effects. To st...
متن کامل