An improved transient algorithm for resonant tunneling

Details An improved transient algorithm for resonant tunneling An improved transient algorithm for resonant tunneling

2010-05-04

arxiv.org/abs/1005.0444v1

Mathematics

Analysis of PDEs

25 pages

Scientific paper

The simulation of the time dependent evolution of the resonant tunneling diode is done by a multiscale algorithm exploiting the existence of resonant states. After revisiting and improving the algorithm developed in [N. Ben Abdallah, O. Pinaud, J. Comp. Phys. 213 (2006) 288-310] for the stationary case, the time dependent problem is dealt with. The existence of two resonances corresponding to the initial potential and to the local time potential lead to the decomposition of the wave function into a non resonant part and two resonant ones. The resonant parts are dealt with by a projection method. The simulation times are shown to be reduced by a factor two.

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