Noise-Induced Oscillations and Their Control in Semiconductor Superlattices

Hizanidis, Johanne; Balanov, A. G.; Amann, Andreas; Schöll, Eckehard

doi:10.1142/s0218127406015611

Cited by 21 publications

(12 citation statements)

References 42 publications

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“…This clearly indicates that the bifurcation at A l is a subcritical Hopf bifurcation. Supercritical Hopf bifurcations in different SL models have been found by Patra et al 42 and by Hizanidis et al 43 at low contact conductivity with no shunt. Here we can also see that the time scales have the following relationship:…”

Section: A Dynamical Behavior Vs Connectivity Parameter a For Large mentioning

confidence: 74%

Dynamics of electronic transport in a semiconductor superlattice with a shunting side layer

Amann²,

Schöll

et al. 2009

Phys. Rev. B

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We study a model describing electronic transport in a weakly coupled semiconductor superlattice with a shunting side layer. Key parameters include the lateral size of the superlattice, the connectivity between the quantum wells of the superlattice and the shunt layer, and the conduction properties of the shunt layer. For a superlattice with small lateral extent and high quality shunt, static electric field domains are suppressed and a spatially uniform field configuration is predicted to be stable, results that may be useful for proposed devices such as a superlattice-based terahertz oscillators. As the lateral size of the superlattice increases, the uniform field configuration loses its stability to either static or dynamic field domains regardless of shunt properties. A lower quality shunt generally leads to regular and chaotic current oscillations and complex spatiotemporal dynamics in the field profile. Bifurcations separating static and dynamic behaviors are characterized and found to be dependent on the shunt properties.

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Section: A Dynamical Behavior Vs Connectivity Parameter a For Large mentioning

confidence: 74%

Dynamics of electronic transport in a semiconductor superlattice with a shunting side layer

Amann²,

Schöll

et al. 2009

Phys. Rev. B

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“…Time-delayed feedback was originally used to control chaotic deterministic motion, for the superlattice see [10,11]. Recently, however, it has been used to control noise-induced oscillations in simple models [12,13] as well as in spatially extended ones [14][15][16]. In these cases the deterministic system was slightly below a Hopf bifurcation, i.e., a local bifurcation.…”

Section: Ns) T Marks the Pulse Duration In (A) Dashed (Red) Curves mentioning

confidence: 99%

Control of noise‐induced spatiotemporal patterns in superlattices

Hizanidis

Schöll

2008

Phys. Status Solidi (c)

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We investigate a semiconductor superlattice exhibiting complex dynamics of electron accumulation and depletion fronts (travelling field domains) in the presence of noise and control. In the uncontrolled system noise is able to induce electron charge front motion through the device when the system is prepared near a global bifurcation which yields it highly sensitive to fluctuations. The associated current density oscillations exhibit a maximum of coherence at an optimal noise intensity, a phenomenon known as coherence resonance. We show how control in the form of a time‐delayed feedback signal affects the noise‐induced dynamics. We observe that control induces a limit cycle in a wide range of the control parameter space and therefore destroys the effect of coherence resonance. For low noise intensity, time‐delayed feedback control enhances the regularity (coherence) of the noisy oscillations considerably. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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“…Time-delayed feedback control has also been applied to purely noiseinduced oscillations and patterns in a regime where the deterministic system rests in a steady state, and in this way both the coherence and the mean frequency of the oscillations has been controlled in various nonlinear systems [26,27,87,28,88,89,90,91], including chemical systems [92], neural systems [93,94], laser diodes [95], and semiconductor nanostructures of N-type [96,97,98,99] and Z-type [100,101,102]. The control of deterministic and stochastic spatio-temporal patterns in semiconductor nanostructures by timedelayed feedback is reviewed elsewhere [62].…”

Section: Introductionmentioning

confidence: 99%