A Particle Model for Wigner Transport through Tunneling Structures

– The Wigner equation taking into account both the non-local potential operator and a scattering operator represents a suitable physical model for carrier transport in nano structures. In this paper a new Monte Carlo method is proposed for the solution of the stationary Wigner equation. Scattering can be included at the level of the semi-classical Boltzmann scattering operator, whereas coherent effects are treated without simplifying approximations. As opposed to the Monte Carlo method for semi-classical transport, in the quantum case the weight of a particle can take on positive and negative values. Key-Words: particle model, Wigner equation, nano structures, Monte Carlo method, scattering, tunnel effect