Coupling between the Liouville equation and a classical Monte Carlo solverfor the simulation of electron transport in resonant tunneling diodes

A coupling model between a classical Monte Carlo simulator and a Liouville equation solver has been proposed with application to the simulation of ver tical transport quantum devices in which extensive regions of the simulatio n domain behave classically. These devices can be partitioned in regions in which either a classical (Monte Carlo) or a quantum (Wigner formalism) tre atment of carrier transport is required making a coupling scheme between ad jacent regions necessary. According to this aim, the boundary conditions in ferred from the Monte Carlo solver for the integration of the Liouville equ ation in the quantum regions, as well as the injecting scheme to the Monte Carlo regions provided by the Wigner distribution function at the boundarie s have been earlier established. The results of this work. using a resonant tunneling diode as a reference device, show that the proposed technique is promising for the simulation of electron transport in quantum devices. (C) 1998 Elsevier Science Ltd. All rights reserved.