# Motion of wave fronts in semiconductor superlattices.

@article{Carpio2001MotionOW, title={Motion of wave fronts in semiconductor superlattices.}, author={A. Carpio and L. Bonilla and G. Dell'Acqua}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2001}, volume={64 3 Pt 2}, pages={ 036204 } }

An analysis of wave front 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 wave fronts can be described near the threshold currents J(i) (i=1,2) at which they depin and move. The wave front velocity scales with current as |J-J(i)|(1/2). If the dimensionless doping is low enough, the superlattice behaves as a continuum system and wave… Expand

#### Figures and Topics from this paper

#### 23 Citations

Wave fronts, pulses and wave trains in photoexcited superlattices behaving as excitable or oscillatory media

- Physics, Mathematics
- 2011

Undoped and strongly photoexcited semiconductor superlattices with field-dependent recombination behave as excitable or oscillatory media with spatially discrete nonlinear convection and diffusion.… Expand

Wavefront depinning in semiconductor superlattices due to discrete-mapping failure

- Physics
- 2008

We investigate the wavefronts depinning in current biased, infinitely long semiconductor superlattice systems by the method of discrete mapping and show that the wavefront depinning corresponds to… Expand

Time distribution of the domain-boundary relocation in superlattices

- Physics
- 2002

Abstract Static domain formation in doped, weakly coupled semiconductor superlattices results in several current branches separated by discontinuities that exhibit hysteresis. The transition from one… Expand

Non-linear dynamics of semiconductor superlattices

- Physics
- 2005

In the last decade, non-linear dynamical transport in semiconductor superlattices (SLs) has witnessed significant progress in theoretical descriptions as well as in experimentally observed non-linear… Expand

Control challenges in semiconductor nanostructure devices

- Materials Science
- Proceedings of the 44th IEEE Conference on Decision and Control
- 2005

A superlattice is an artificial crystal made out by repeating periodically a basic unit comprising layers of two or more semiconductors. Superlattice based devices include infrared detectors, quantum… Expand

TOPICAL REVIEW: Theory of nonlinear charge transport, wave propagation, and self-oscillations in semiconductor superlattices

- Physics
- 2001

Nonlinear charge transport in semiconductor superlattices under strong electric fields parallel to the growth direction results in rich dynamical behaviour including the formation of electric field… Expand

Propagation of transition fronts in nonlinear chains with non-degenerate on-site potentials.

- Physics, Mathematics
- Chaos
- 2018

This work addresses the problem of transition front propagation in chains with a bi-stable nondegenerate on-site potential and a nonlinear gradient coupling with reasonable predictions of all main characteristics of the transition front, including its velocity, as well as the frequency and the amplitude of the oscillatory tail. Expand

Shockwaves and Kinks in Exothermic Nonlinear Chains

- Physics
- 2019

We address the problem of a transition front propagation in chains with a bi-stable nondegenerate on-site potential and a nonlinear gradient coupling. For a generic nonlinear coupling, one encounters… Expand

Two-dimensional collective electron magnetotransport, oscillations, and chaos in a semiconductor superlattice.

- Physics, Medicine
- Physical review. E
- 2017

A two-dimensional theory based on self-consistent Boltzmann transport does not support that single-electron chaos influences collective transport but predicts spontaneous collective chaos via a period doubling scenario and could be tested unambiguously by measuring the electric potential inside the superlattice under a tilted magnetic field. Expand

Oscillatory wave fronts in chains of coupled nonlinear oscillators.

- Mathematics, Physics
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2003

Wave front pinning and propagation in damped chains of coupled oscillators are studied and an approximate analytical description of smooth nonlinearities is found by means of the active point theory. Expand

#### References

SHOWING 1-10 OF 35 REFERENCES

Wave fronts may move upstream in semiconductor superlattices

- Physics, Medicine
- Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 2000

In weakly coupled, current biased, doped semiconductor superlattices, domain walls may move upstream against the flow of electrons against a first critical current, and remains stationary between this value and a second critical current. Expand

Periodic Generation and Propagation of Traveling Fronts in DC Voltage Biased Semiconductor Superlattices

- Physics, Computer Science
- SIAM J. Appl. Math.
- 1997

The continuum limit of a recently proposed model for charge transport in resonant-tunneling semiconductor superlattices (SLs) is analyzed and an asymptotic theory shows that the time-periodic solution is due to recycling and motion of shock waves representing domain walls connecting regions of the SL where the electric field is almost uniform. Expand

Electric-field domains in semiconductor superlattices: A novel system for tunneling between 2D systems.

- Physics, Medicine
- Physical review letters
- 1991

The boundary between electric-field domains in semiconductor superlattices represents a tunneling barrier and for magnetic fields applied parallel to the layers the average current through the single barrier increases, in contrast to 3D and qwasi-2D emitters. Expand

Synchronization and Chaos Induced by Resonant Tunneling in GaAs/AlAs Superlattices.

- Physics, Medicine
- Physical review letters
- 1996

Spontaneous chaotic and periodic current oscillations in a doped GaAs/AlAs superlattice are observed by changing only the applied bias. Expand

Wave front depinning transition in discrete one-dimensional reaction-diffusion systems.

- Physics, Medicine
- Physical review letters
- 2001

A theory of the depinning transition for these systems, including scaling laws and asymptotics of wave fronts, is presented and confirmed by numerical calculations. Expand

The dynamics of charge-density waves

- Physics
- 1988

In many materials with a highly anisotropic band structure, electron-phonon interactions lead to a novel type of ground state called the charge-density wave. The condensate is pinned to the… Expand

Electrically tunable GHz oscillations in doped GaAs-AlAs superlattices

- Physics
- 1997

Tunable oscillatory modes of electric-field domains in doped semiconductor superlattices are reported. The experimental investigations demonstrate the realization of tunable, GHz frequencies in… Expand

Gunn instability in finite samples of GaAs. II: Oscillatory states in long samples

- Physics
- 1992

Abstract An asymptotic description is given of the well known phenomenon of charge density waves propagating in long samples of n-type GaAs with Ohmic contacts and voltage bias. Depending on the… Expand

Dynamics of electric-field domains and oscillations of the photocurrent in a simple superlattice model.

- Physics, Medicine
- Physical review. B, Condensed matter
- 1994

A discrete model is introduced to account for the time-periodic oscillations of the photocurrent and photoluminescence time-dependent oscillations in a superlattice observed by Kwok et al. in an undoped 40-period AlAs/GaAs superlATTice. Expand

EXPLOSIVE BIFURCATION TO CHAOS IN WEAKLY COUPLED SEMICONDUCTOR SUPERLATTICES

- Physics
- 1998

The bifurcation scenario to chaos has been studied for vertical transport in an incommensurately driven superlattice system. With increasing driving amplitude, quasiperiodic, frequency-locked, and… Expand