Quantum Monte Carlo Simulation of a Resonant Tunneling Diode Including Phonon Scattering

A Quantum Monte Carlo method taking into account both interference and dissipation eects 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. The Wigner potential is treated as an additional scattering source. To permit a probabilistic interpretation, the Wigner potential is expressed as a dierence of two positive functions. Scattering from the negative part of the Wigner potential results in a sign change of the particle’s weight. A resonant tunneling diode has been simulated using the new Monte Carlo method. The results clearly demonstrate that both semi-classical and quantum transport features are well treated by the method.