Motion of Wavefronts in Semiconductor Superlattices

Abstract

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 $|J-J_i{|}^{\frac{1}{2}}$. 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.

10 pages, 9 figures

References in corpus (1)

• Wavefront depinning transition in discrete one-dimensional reaction-diffusion systems

Cited by in corpus (10)

• Edge dislocations in crystal structures considered as traveling waves of discrete models
• Oscillatory wave fronts in chains of coupled nonlinear oscillators
• Theory of force-extension curve for modular proteins and DNA hairpins
• Propagation of transition fronts in nonlinear chains with non-degenerate on-site potentials
• Effects of disorder on the wave front depinning transition in spatially discrete systems
• Front propagation in lattices with on-site bistable non-degenerate potential: multiplicity, bifurcations and route to chaos
• Wave propagation and its stability for a class of discrete diffusion systems
• Two dimensional collective electron magnetotransport, oscillations and chaos in a semiconductor superlattice
• Wave fronts, pulses and wave trains in photoexcited superlattices behaving as excitable or oscillatory media
• Depinning transitions in discrete reaction-diffusion equations