Pendulum limit, chaos and phase-locking in the dynamics of ac-driven semiconductor superlattices

Alekseev, Kirill N.; Kusmartsev, F. V.

doi:10.1016/s0375-9601(02)01420-2

Cited by 26 publications

(34 citation statements)

References 51 publications

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“…The remaining constants are a, , and e, which are the superlattice period, the reduced Planck constant, and the electron charge, respectively. This phenomena bears close resemblance to the inverse ac-Josephson effect [25,26], and is in fact just one example of similarity between Josephson junctions and ssls [27,18,28]. Unquantized spontaneous dc has also been predicted for lateral semiconductor superlattices [29,28] that only differ by their geometry from the bulk ssls studied here.…”

Section: Introductionsupporting

confidence: 72%

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Rectification of terahertz radiation in semiconductor superlattices in the absence of domains

Isohätälä¹,

Alekseev²

2012

J. Phys.: Condens. Matter

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Abstract. We study theoretically the dynamical rectification of a terahertz ac electric field, i.e. the dc current and voltage response to the incident radiation, in strongly coupled semiconductor superlattices. We address the problem of stability against electric field domains: A spontaneous dc voltage is known to appear exactly for parameters for which a spatially homogeneous electron distribution is unstable. We show that by applying a weak direct current bias the rectifier can be switched from a zero dc voltage state to one with a finite voltage in full absence of domains. The switching occurs near the conditions of dynamical symmetry breaking of an unbiased semiconductor superlattice. Therefore our scheme allows for the generation of dc voltages that would otherwise be unreachable due to domain instabilities. Furthermore, for realistic, highly doped wide miniband superlattices at room temperature the generated dc field can be nearly quantized, that is, be approximately proportional to an integer multiple of ω/ea where a is the superlattice period and ω is the ac field frequency.

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Section: Introductionsupporting

confidence: 72%

“…If the governing equations remain invariant in transformation S, we say that they are symmetric or have symmetry S. In our previous works we have focused on the appearance of a spontaneous dc voltage via dynamical symmetry breaking [21,18,29,40,28]. Let u 0 be the generated dc voltage:…”

Section: Effective Circuit Model With a DC Current Sourcementioning

confidence: 99%

Rectification of terahertz radiation in semiconductor superlattices in the absence of domains

Isohätälä¹,

Alekseev²

2012

J. Phys.: Condens. Matter

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“…In particular, an analog of inverse ac Josephson effect has been predicted for the superlattices [23,25]. Moreover, within some reasonable approximations nonlinear dynamics of an ac-driven semiconductor superlattice in the miniband transport regime is governed by a periodically forced and damped pendulum [26,27]. For the superlattices with realistic scattering constant [28,29], an effective damping in the corresponding pendulum model is not small: γ > ∼ 1.…”

Section: Introductionmentioning

confidence: 99%

Symmetry breaking in a driven and strongly damped pendulum

et al. 2005

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We examine the conditions for appearance of symmetry breaking bifurcation in damped and periodically driven pendulum in the case of strong damping. We show that symmetry breaking, unlike other nonlinear phenomena, can exist at high dissipation. We prove that symmetry breaking phases exist between phases of symmetric normal and symmetric inverted oscillations. We find that symmetry broken solutions occupy a sufficiently smaller region of pendulum's parameter space in comparison to the statements made in earlier considerations [McDonald and Plischke, Phys. Rev. B 27 (1983) 201]. Our research on symmetry breaking in a strongly damped pendulum is relevant to an understanding of phenomena of dynamic symmetry breaking and rectification in a pure ac driven semiconductor superlattices.

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“…However, there is another requirement for frequency ω which is related to the chaotic behavior of the electron subsystem of SL [30,31]. In this section, we investigate the conditions for the HF-field amplitude a and frequency ω under which dynamic chaotization of the electronic subsystem in the ac-driven model (5) occurs.…”

Section: Dynamic Chaotization Of the Electronic Subsystem In Superlatmentioning

confidence: 99%

Possibility of propagation of dissipative solitons in ac-driven superlattice

Kryuchkov

Kukhar

2015

Phys. Wave Phen.

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The renormalization equation for nonlinear electromagnetic wave propagating in ac-driven superlattice with dissipation has been derived by averaging method. The expression for dissipative soliton potential is obtained. The values of high-frequency field amplitudes allowing for two types of dissipative soliton are found. The shape and type of such solitons are shown to be regulated by changing the highfrequency field amplitude. The chaotic behavior of electrons in superlattice is investigated by the Melnikov method.

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Pendulum limit, chaos and phase-locking in the dynamics of ac-driven semiconductor superlattices

Cited by 26 publications

References 51 publications

Rectification of terahertz radiation in semiconductor superlattices in the absence of domains

Rectification of terahertz radiation in semiconductor superlattices in the absence of domains

Symmetry breaking in a driven and strongly damped pendulum

Possibility of propagation of dissipative solitons in ac-driven superlattice

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