Tatyana Karyakina
Publications:
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Maglevanny I. I., Smolar V. A., Karyakina T. I.
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
2021, Vol. 17, no. 2, pp. 141-156
Abstract
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 resonanttype
nonmonotonic dependence on control parameters with the maxima at points close to critical
points of the synergetic potential.
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Maglevanny I. I., Smolar V. A., Karyakina T. I.
Weak Signals Amplification Through Controlled Bifurcations in Quasi-Two-Dimensional Electron Gas
2018, Vol. 14, no. 4, pp. 453-472
Abstract
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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