An analysis of wavefront motion in weakly coupled doped semiconductor superlattices is presented. If a dimensionless doping is sufficiently large, the superlattice behaves as a discrete system presenting front propagation failure and the wavefronts can be described near the threshold currents Ji (i=1,2) at which they depin and move. The wavefront velocity scales with current as ∣J−Ji∣21. If the dimensionless doping is low enough, the superlattice behaves as a continuum system and wavefronts are essentially shock waves whose velocity obeys an equal area rule.
@article{arxiv.cond-mat/0201316,
title = {Motion of Wavefronts in Semiconductor Superlattices},
author = {A. Carpio and L. L. Bonilla and G. Dell'Acqua},
journal= {arXiv preprint arXiv:cond-mat/0201316},
year = {2009}
}