Wigner Ensemble Monte Carlo Simulation Without Discretization Error of a GaAs Resonant Tunneling Diode

A Monte Carlo technique for the solution of the Wigner transport equation has been developed during these years, based on the generation and annihilation of signed particles. A stochastic algorithm without time discretization error has been recently introduced. Its derivation is based on the theory of piecewise deterministic Markov processes.Numerical experiments are performed in the case of a GaAs Resonant Tunneling Diode. Convergence of the time-splitting scheme to the no-splitting algorithm is demonstrated. The no-splitting algorithm is shown to be more efficient in terms of computational effort.