Geodesic
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
Russian journal of nonlinear dynamics, Tome 17 (2021) no. 2, pp. 141-156

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: lateral superlattices, bifurcation-based device, spontaneous transverse electric field, nonequilibrium phase transitions, symmetry breaking of magnetic-field-induced macrostates, resonant enhancement of even harmonics. 
@article{ND_2021_17_2_a0,
     author = {I. I. Maglevanny and V. A. Smolar and T. I. Karyakina},
     title = {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}},
     journal = {Russian journal of nonlinear dynamics},
     pages = {141--156},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ND_2021_17_2_a0/}
}
TY  - JOUR
AU  - I. I. Maglevanny
AU  - V. A. Smolar
AU  - T. I. Karyakina
TI  - 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
JO  - Russian journal of nonlinear dynamics
PY  - 2021
SP  - 141
EP  - 156
VL  - 17
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2021_17_2_a0/
LA  - en
ID  - ND_2021_17_2_a0
ER  - 
%0 Journal Article
%A I. I. Maglevanny
%A V. A. Smolar
%A T. I. Karyakina
%T 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
%J Russian journal of nonlinear dynamics
%D 2021
%P 141-156
%V 17
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2021_17_2_a0/
%G en
%F ND_2021_17_2_a0
I. I. Maglevanny; V. A. Smolar; T. I. Karyakina. 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. Russian journal of nonlinear dynamics, Tome 17 (2021) no. 2, pp. 141-156. http://geodesic.mathdoc.fr/item/ND_2021_17_2_a0/