Effect of high-frequency electric field on the electron magnetotransport in graphene

Kryuchkov, S. V.; Kukhar, E. I.

doi:10.1016/j.physb.2014.04.008

Cited by 20 publications

(9 citation statements)

References 47 publications

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“…Во-вторых, задачи о взаимодействии кристалла с излучением являются нестационарными и, как отмечено в [24], эффекты, возникающие в таких системах, гораздо ярче и богаче, чем в тех же системах, но описываемых стационарным гамильтонианом. Среди них -модификация структуры уровней Ландау в 2D-электроном газе [25,26], манипуляция положением дираковских точек [24,[27][28][29], динамическое наведение запрещенной зоны [21][22][23][30][31][32], индуцированное высокочастотным (ВЧ) полем слияние дираковских точек [33], последо-вательные переходы между полуметаллическими фазами и состояниями изолятора [33,34], перенормировка скорости Ферми [35], модификация спектра графена в квантующем магнитном поле [35,36] и т. д.…”

Section: Introductionunclassified

Фотоиндуцированное Состояние Флоке-Изолятора В Графеноподобном Кристалле

Кухарь¹,

Крючков²

2022

Журнал Технической Физики

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Floquet spectrum of charge carriers in a 2D crystal with initially displaced Dirac points has been derived. The phase and amplitude dependences of the energy gap induced by elliptically polarized and bichromatic high-frequency fields has been investigated. In contrast to graphene the linearly polarized electric field has been shown to be able to transform the initially semi-metallic state of Dirac crystal into the Floquet-insulator state. The conditions for such a transition are indicated, one of which is the mismatch between the orientation of the field polarization line and the direction of the crystallographic axes.

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Section: Introductionunclassified

Фотоиндуцированное Состояние Флоке-Изолятора В Графеноподобном Кристалле

Кухарь¹,

Крючков²

2022

Журнал Технической Физики

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“…Besides these systems, there is a growing interest in two-dimensional (2D) systems describing the dynamics of a charged particle confined with a strong and uniform external magnetic field. This interest is due to their various applications in different fields of matter physics and chemistry [23][24][25], semiconductor structures [26], chemical physics [27] and molecular vibrational and rotational spectroscopy [28]. Therefore, a lot of works were devoted to the study of this kind of problems in both ordinary and deformed quantum mechanics.…”

Section: Introductionmentioning

confidence: 99%

2D Relativistic Oscillators with a Uniform Magnetic Field in Anti-deSitter Space

Sek,

Falek,

Moumni

2021

Preprint

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We study analytically the two-dimensional deformed bosonic oscillator equation for charged particles (both spin 0 and spin 1 particles) subject to the effect of an uniform magnetic field. We consider the presence of a minimal uncertainty in momentum caused by the Anti-de Sitter model and we use the Nikiforov-Uvarov (NU) method to solve the system. The exact energy eigenvalues and the corresponding wave functions are analytically obtained for both Klein Gordon and scalar Duffin-Kemmer-Petiau (DKP) cases. For spin 1 DKP case, we deduce the behavior of the DKP equation and write the non-relativistic energies and we show the fundamental role of the spin in this case. Finally, we study the thermodynamic properties of the system.

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“…Floquet topological insulators had been also realized in laboratory in [27]. Theory describing magneto-electronic properties of ac-driven graphene developed in [28][29][30]. Results of investigations of band structure of ac-driven graphene allow the manipulation of Dirac points [31], Landau levels [28][29][30] and states around defects of the graphene lattice [32] by changing of ac-field amplitude.…”

Section: Introductionmentioning

confidence: 99%

Magnetic Minibands and Electron–Electron Bound States in Ac-Driven Graphene with Space-Modulated Gap

Kryuchkov¹,

Kukhar²

2017

Journal of Nanoelectronics and Optoelectronics

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The emergence of the magnetic minibads in the quasienergy spectrum of graphene superlattice subjected to the quantizing magnetic field and electromagnetic radiation was investigated. The graphene superlattice was assumed to be formed by space-periodical modulation of the gap in the vicinity of the Dirac point of the graphene band structure. The explicit form of the Floquet spectrum of electron was derived in the case of weak spatial modulation. Minibads widths were shown to change with ac electric field amplitude. The possibility of electron-electron bound states was shown. The binding energies of these states were shown to be the function of the amplitude of ac electric field.

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Effect of high-frequency electric field on the electron magnetotransport in graphene

Cited by 20 publications

References 47 publications

Фотоиндуцированное Состояние Флоке-Изолятора В Графеноподобном Кристалле

Фотоиндуцированное Состояние Флоке-Изолятора В Графеноподобном Кристалле

2D Relativistic Oscillators with a Uniform Magnetic Field in Anti-deSitter Space

Magnetic Minibands and Electron–Electron Bound States in Ac-Driven Graphene with Space-Modulated Gap

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