Thermally and electrically controllable multiple high harmonics generation by harmonically driven quasi-two-dimensional electron gas

Maglevanny, I.I.; Smolar, V.A.; Karyakina, T. I.

doi:10.1016/j.spmi.2018.03.055

Cited by 3 publications

(11 citation statements)

References 16 publications

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“…When one uses a tight-binding approximation, the energy band is confined in two directions [6,7] and in the reference frame defined in Fig. 1 the energy spectrum takes the form [9]…”

Section: Sample Configuration and Static Current Densitymentioning

confidence: 99%

“…where I n (z) is the modified Bessel function. Thus, we get the normalized current densities in 2SL [9] j…”

Section: Sample Configuration and Static Current Densitymentioning

confidence: 99%

“…here the value of R cp has the sense of sample resistance in weak electric fields. Define the potential function Φ -the synergetic potential (the generalized function of entropy production [10,11]) whose meaning is discussed in [9] Φ…”

Section: Sample Configuration and Static Current Densitymentioning

confidence: 99%

“…is called the bifurcation set or local separatrix [16]. At r/C(T ) < r g the set B 2 defines the region of tristability [9]. In this paper we consider the case of large conductivity of resistor R, i.e., r g < r/C(T ) < 0.125.…”

Section: I Maglevanny V a Smolar T I Karyakinamentioning

confidence: 99%

“…Thus, the system has potential diversity, which benefits the acquisition of better output. For that we follow an approach developed in [8,9] and consider the nonequilibrium electron gas from a viewpoint of catastrophe theory which provides a powerful tool to discover a criterion for stability and instability in a given system in a situation where the nonequilibrium phase transitions (NPTs) occur. In contrast to the previous paper [9] we concentrate on the kinetic regimes at which the Weak Signals Amplification Through Controlled Bifurcations higher harmonics of output signal are suppressed, i.e., the input signal is not distorted when transferring the system under consideration.…”

Section: Introductionmentioning

confidence: 99%

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Weak Signals Amplification Through Controlled Bifurcations in Quasi-Two-Dimensional Electron Gas

Maglevanny¹,

Smolar²,

Karyakina³

2018

Nelin. Dinam.

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In this paper, we consider the activation processes in a nonlinear bistable system based on a lateral (quasi-two-dimensional) superlattice and study the dynamics of such a system externally driven by a harmonic force. The internal control parameters are the longitudinal applied electric field and the sample temperature. The spontaneous transverse electric field is considered as an order parameter. The forced violations of the order parameter are considered as a response of a system to periodic driving. We investigate the cooperative effects of self-organization and harmonic forcing from the viewpoint of catastrophe theory. Complex nonlinear behaviors including the energetic activation barrier or, more generally, a form of threshold leading to forced bifurcations of dc components of output response accompanied by enhancement of its odd harmonic components were discovered in limited narrow ranges of the control parameters space through numerical simulations. We observed the resonant behaviors of spectral amplification coefficient which is maximized when control parameters are tuned near the critical values of synergetic potential.

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“…When one uses a tight-binding approximation, the energy band is confined in two directions [6,7] and in the reference frame defined in Fig. 1 the energy spectrum takes the form [9]…”

Section: Sample Configuration and Static Current Densitymentioning

confidence: 99%

“…where I n (z) is the modified Bessel function. Thus, we get the normalized current densities in 2SL [9] j…”

Section: Sample Configuration and Static Current Densitymentioning

confidence: 99%

Section: Sample Configuration and Static Current Densitymentioning

confidence: 99%

Section: I Maglevanny V a Smolar T I Karyakinamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Weak Signals Amplification Through Controlled Bifurcations in Quasi-Two-Dimensional Electron Gas

Maglevanny¹,

Smolar²,

Karyakina³

2018

Nelin. Dinam.

Self Cite

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Generation of microwave harmonics by non-ohmic surface layers in quantum wells of compound semiconductors at low lattice temperatures

Roy

Bhattacharyya

Bhattacharya

2022

Journal of Physics and Chemistry of Solids

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Effects of a Perpendicularly Applied Magnetic Field on Harmonically Driven Quasi-two-dimensional Electron Gas: the Static Macrostates Symmetry Breaking and Generation of Even Harmonics in System Output

Smolar¹,

Karyakina²,

Maglevanny³

2021

Nelin. Dinam.

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In this paper, we consider activation processes in a nonlinear metastable system based on a quasi-two-dimensional superlattice and study the dynamics of such a system, which is externally driven by a harmonic force in regimes of controlled instabilities. The spontaneous transverse electric field is considered as an order parameter and the forced violations of the order parameter are considered as a response of a system to periodic driving. The internal control parameters are the longitudinal applied electric field, the sample temperature and the magnetic field which is orthogonal to the superlattice plane. We investigate the cooperative effects of self-organization and high harmonic forcing in such a system from the viewpoint of catastrophe theory It is shown through numerical simulations that the additional magnetic field breaks the static macrostates symmetry and leads to generation of even harmonics; it also allows the control of the intensity of particular harmonics. The intensity of even harmonics demonstrates resonant-type nonmonotonic dependence on control parameters with the maxima at points close to critical points of the synergetic potential.

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Thermally and electrically controllable multiple high harmonics generation by harmonically driven quasi-two-dimensional electron gas

Cited by 3 publications

References 16 publications

Weak Signals Amplification Through Controlled Bifurcations in Quasi-Two-Dimensional Electron Gas

Weak Signals Amplification Through Controlled Bifurcations in Quasi-Two-Dimensional Electron Gas

Generation of microwave harmonics by non-ohmic surface layers in quantum wells of compound semiconductors at low lattice temperatures

Effects of a Perpendicularly Applied Magnetic Field on Harmonically Driven Quasi-two-dimensional Electron Gas: the Static Macrostates Symmetry Breaking and Generation of Even Harmonics in System Output

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