Symmetries in Hall-like systems: microwave and nonlinear transport effects

Torres, M. A. P.; Kunold, A.

doi:10.1088/1751-8113/41/30/304036

Cited by 6 publications

(3 citation statements)

References 35 publications

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“…26, but these contributions have additional smallness in systems with mixed disorder. The displacement mechanism can be studied by various methods, 12,13,14,27,28,29 which provide a qualitatively correct picture for electron transport in strong electric fields. However, for a full description of the crossover from weakto strong-fields, the kinetic equation is necessary.…”

Section: Introductionmentioning

confidence: 99%

Effect of microwave radiation on the nonlinear resistivity of a two-dimensional electron gas at large filling factors

Khodas

Vavilov

2008

Phys. Rev. B

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We study transport properties of a two-dimensional electron gas, placed in a classically strong perpendicular magnetic field and in constant and oscillating in-plane electric fields. The analysis is based on a quantum Boltzmann equation derived for a weakly disordered two-dimensional electron gas. We consider disordered potential with both long and short range correlations. Electron scattering off such disorder is not limited to small change in momentum direction, but occurs on an arbitrary angle, including the backscattering. The non-linearity of the transport in the considered system is a consequence of two co-existing effects: formation of a non-equilibrium distribution function of electrons and modification of the scattering rate off the disorder in the presence of dc and ac electric fields. This work describes both effects in a unified way. The calculated dissipative component of electric current oscillates as a function of the electric field strength and frequency of microwave radiation in a qualitative agreement with experiments.

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Section: Introductionmentioning

confidence: 99%

Effect of microwave radiation on the nonlinear resistivity of a two-dimensional electron gas at large filling factors

Khodas

Vavilov

2008

Phys. Rev. B

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“…(6). To consider the dynamic of an electron in a magnetic field it is customary to use the migration center theory [21][22][23] , where the electron coordinate r splits into the guiding center X = (X, Y ) and the cyclotron or relative coordinate η, i.e. r = X + η, where η = (− cΠy eB , cΠx eB ).…”

Section: Current Density In the Nonlinear Regimementioning

confidence: 99%

Nonlinear magnetotransport theory and Hall induced resistance oscillations in graphene

Gutiérrez-Jáuregui¹,

Torres²

2014

J. Phys.: Condens. Matter

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The quantum oscillations of nonlinear magnetoresistance in graphene that occur in response to a dc current bias are investigated. We present a theoretical model for the nonlinear magnetotransport of graphene carriers. The model is based on the exact solution of the effective Dirac equation in crossed electric and magnetic fields, while the effects of randomly distributed impurities are perturbatively added. To compute the nonlinear current we develop a covariant formulation of the migration center theory. The analysis of the differential resistivity in the large magnetic field region, shows that the extrema of the Shubnikov de Hass oscillations invert when the dc currents exceeds a threshold value. These results are in good agreement with the experimental observations. In the small magnetic field regime, corresponding to large filling factors, the existence of Hall induced resistance oscillations are predicted for ultra clean graphene samples. These oscillations originate from Landau-Zener tunneling between Landau levels, that are tilted by the strong electric Hall field.

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“…The electron gas in 2D in the presence of harmonic or biharmonic fields shows a surprising behaviour in the form of a 'giant' [126] or vanishing, or even negative resistance [127,128]. The effects are apparently due to the presence of material shells forming a sandwich on both sides of the motion plane; but discussions have not yet ended (see, e.g., Zudov et al [109]).…”

Section: Open Problemsmentioning

confidence: 99%

Magnetic operations: a little fuzzy mechanics?

Mielnik¹,

Ramirez²

2011

Phys. Scr.

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Abstract. We examine the behaviour of charged particles in homogeneous, constant and/or oscillating magnetic fields in the non-relativistic approximation. A special role of the geometric center of the particle trajectory is elucidated. In quantum case it becomes a 'fuzzy point' with non-commuting coordinates, an element of non-commutative geometry which enters into the traditional control problems. We show that its application extends beyond the usually considered time independent magnetic fields of the quantum Hall effect. Some simple cases of magnetic control by oscillating fields lead to the stability maps differing from the traditional Strutt diagram.

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Symmetries in Hall-like systems: microwave and nonlinear transport effects

Cited by 6 publications

References 35 publications

Effect of microwave radiation on the nonlinear resistivity of a two-dimensional electron gas at large filling factors

Effect of microwave radiation on the nonlinear resistivity of a two-dimensional electron gas at large filling factors

Nonlinear magnetotransport theory and Hall induced resistance oscillations in graphene

Magnetic operations: a little fuzzy mechanics?

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