X. Oriols et al., QUANTUM MONTE-CARLO SIMULATION OF TUNNELING DEVICES USING BOHM TRAJECTORIES, Physica status solidi. b, Basic research, 204(1), 1997, pp. 404-407
A. generalization of the classical Monte Carlo (MC) device simulation
technique is proposed to simultaneously deal with quantum-mechanical p
hase-coherence effects and scattering interactions in tunneling device
s. The proposed method restricts the quantum treatment of transport to
the regions of the device where the potential profile significantly c
hanges in distances of the order of the de Broglie wavelength of tile
carriers (the quantum window). Bohm trajectories associated to time de
pendent Gaussian wavepackets are used to simulate the electron transpo
rt in the quantum window. Outside this window, the classical ensemble
simulation technique is used. Classical and quantum trajectories are s
moothly matched at the boundaries of the quantum window according to a
criterium of total energy conservation. A simple one-dimensional simu
lator for resonant tunneling diodes is presented to demonstrate the fe
asibility of our proposal.