Abstract

particular applied voltage drop. The continuation algorithms/eigensolving capabili-
ties were provided by Sandia National Laboratories’ software library LOCA (Library
of Continuation Algorithms). The RTD simulator was parallelized, and a precondi-
tioner was developed to speed-up the iterative linear solver. This allowed us to use
finer computational meshes to fully resolve the physics.
We also theoretically analyze the steady-state solutions of the Wigner-Poisson
equations by noting that the solutions to the steady-state problem are also solutions
to a fixed point problem. By analyzing the fixed point map, we are able to prove
some regularity of the steady-state solutions as well provide a theoretical explanation
for the mesh-independence of the preconditioned linear solver.
October 5, 2005