Motion of Wavefronts in Semiconductor Superlattices

Details Motion of Wavefronts in Semiconductor Superlattices Motion of Wavefronts in Semiconductor Superlattices

2002-01-17

arxiv.org/abs/cond-mat/0201316v1

Phys. Rev. E 64, 036204 (2001)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 9 figures

Scientific paper

10.1103/PhysRevE.64.036204

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 $J_i$ ($i=1,2$) at which they depin and move. The wavefront velocity scales with current as $|J-J_i|^{{1\over 2}}$. 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.

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