Quantum Monte Carlo Simulation of a Resonant Tunneling Diode Including Phonon Scattering
H. Kosina, M. Nedjalkov and S. Selberherr
Institute for Microelectronics, TU Vienna, AT
Keywords: quantum Monte Carlo, Wigner equation, quantum transport, resonant tunneling diode
A Quantum Monte Carlo (QMC) method taking into account
both interference and dissipation effects is presented.
The method solves the space-dependent Wigner equation which
includes semi-classical scattering via the Boltzmann collision
operator. The classical force term is separated from the Wigner
potential and included in the Liouville operator on the left hand side.
Using the Wigner potential as an additional scattering source is not
straight forward because it assumes positive and negative values.
To permit a probabilistic interpretation, the Wigner potential
is expressed as a difference of two positive functions. The Wigner
function is represented by a set of weighted particles. Scattering
from the negative part of the Wigner potential results in a sign
change of the weight. A peculiarity of the MC method is that the number
of numerical particles increases, while the total charge is strictly
conserved. In the simulation numerical particles are continuously
removed by annihilation of neighboring particles of opposite weight.
A resonant tunneling diode (RTD) has been simulated using the new QMC
method. Polar optical and acoustic deformation potential scattering are
included. The results clearly show that both semi-classical and quantum
transport features are well treated by the method.
NSTI Nanotech 2003 Conference Technical Program Abstract