Electric-field-induced magnetoresistance of lateral superlattices

Épshteǐn, É. M.; Maglevanny, I.I.; Shmelev, G. M.

doi:10.1088/0953-8984/8/25/008

Cited by 9 publications

(10 citation statements)

References 7 publications

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“…At |H| 1 the current density j, defined by (2.3) and (2.8), may be found analytically in linear approximation on H [13,14]. At high H the calculations cannot be accomplished analytically and some computational problems had to be solved.…”

Section: Sample Configuration and Calculation Of Static Current Densitymentioning

confidence: 99%

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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Section: Sample Configuration and Calculation Of Static Current Densitymentioning

confidence: 99%

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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“…At | | 1 H the current density j may be found analytically in the linear approximation on H [1,2]. At high H we use the numerical algorithm described in Section 4.…”

Section: Original Papermentioning

confidence: 99%

“…The influence of a weak magnetic field was investigated in [1,2] and it was shown that even an arbitrary small value of H plays the principal role because it smears out the phase transition and enforces the system to make a completely determinate selection between the conditions that are of equal probability at 0 H = . Thus, forced bifurcation takes place.…”

Section: Original Papermentioning

confidence: 99%

“…In previous papers [1,2], devoted to this problem the external applied electric field was considered as the only control parameter, the magnetic field was assumed to be low and considered in the linear approximation. In the present paper we develop this approach further and treat the arbitrary magnetic field as one of control parameters too.…”

Section: Introductionmentioning

confidence: 99%

“…Unlike [1,2], the problem can not be solved analytically so some methods of computer simulation were developed for its solution.…”

Section: Introductionmentioning

confidence: 99%

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Highly nonlinear phenomena of self‐organization of quasi‐two‐dimensional electron gas in high magnetic and electric fields

Maglevanny¹

2009

Physica Status Solidi (b)

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The transverse electric field Ey that appears in lateral superlattices (2SLs) under Hall‐measurement conditions, i.e. in the presence of a longitudinal applied electric field Ex and applied magnetic field H normal to the SL plane (H ∥ OZ) is calculated. In contrast to previous works devoted to this problem both applied electric and magnetic fields are treated as control parameters. By introducing the generalized function of entropy production (the synergetic potential) the kinetic behavior of a quasi‐two‐dimensional nonequilibrium electron gas is investigated from the viewpoint of self‐organization and catastrophe theory. The field Ey contains both the Hall field and the spontaneous transverse electric field that exists without H. The magnetoresistance caused by the appearance of a spontaneous transverse EMF is investigated. Spontaneous transverse EMF, current–voltage characteristics and magnetoresistance are multivalued and sign‐changing functions of applied electric and magnetic fields. From the model computer simulations the observed multistability exhibits a large difference in the behavior of the system in high magnetic fields as compared to low one. The novel nonlinear effects such as first‐order nonequilibrium phase transitions and hysteresis, induced by magnetic field are predicted. As the magnetic field is increased the nonlinear behaviors show self‐organized hierarchical complexity, which manifests itself in fractalization of bifurcation set, whose self‐similar fine structure leading to fractal‐like folds of critical manifold sheets, resulting in fuzzy bifurcations, was discovered. Complex nonlinear behaviors including macrostate crisis and chaotic‐looking intermittency of Hall‐effect characteristics were discovered in limited narrow ranges of the control parameter space. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Theoretical study of nonlinear absorption of a strong electromagnetic wave in infinite semi-parabolic Plus Semi-inverse Squared Quantum Wells by using quantum kinetic equation

Ba,

Bau,

Tuan

et al. 2024

Physica B: Condensed Matter

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Electric-field-induced magnetoresistance of lateral superlattices

Cited by 9 publications

References 7 publications

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

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

Highly nonlinear phenomena of self‐organization of quasi‐two‐dimensional electron gas in high magnetic and electric fields

Theoretical study of nonlinear absorption of a strong electromagnetic wave in infinite semi-parabolic Plus Semi-inverse Squared Quantum Wells by using quantum kinetic equation

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