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The high-frequency conductivity of Si delta-doped GaAs/AlGaAs heterostructures is studied in the integer quantum Hall effect (QHE) regime, using acoustic methods. Both the real and the imaginary parts of the complex conductivity are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 I. L. Drichko , A. M. Diakonov , I. Yu. Smirnov , Y. M. Galperin , A. I. Toropov

Weyl quantization and related semiclassical techniques can be used to study conduction properties of crystalline solids subjected to slowly-varying, external electromagnetic fields. The case where the external magnetic field is constant, is…

Mathematical Physics · Physics 2015-08-18 Max Lein

In the fractional quantum Hall effect regime we measure diagonal ($\rho_{xx}$) and Hall ($\rho_{xy}$) magnetoresistivity tensor components of two-dimensional electron system (2DES) in gated GaAs/Al$_{x}$Ga$_{1-x}$As heterojunctions,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. S. Murzin , S. I. Dorozhkin , G. E. Tsydynzhapov , V. N. Zverev

Here we comprehensively investigate Landau levels, Hofstadter butterfly and transport properties of a semi-Dirac nanoribbon in a perpendicular magnetic field using a recently developed real-space implementation of the Kubo formula based on…

Mesoscale and Nanoscale Physics · Physics 2020-08-19 Priyanka Sinha , Shuichi Murakami , Saurabh Basu

Quantum magnetic oscillations in SrTiO3/\LaAlO3 interface are observed. The evolution of their frequency and amplitude at various gate voltages and temperatures is studied. The data are consistent with the Shubnikov de-Haas theory. The Hall…

Strongly Correlated Electrons · Physics 2015-05-19 M. Ben Shalom , A. Ron , A. Palevski , Y. Dagan

A two-dimensional harmonic oscillator, when rotated by the oscillator frequency, generates Landau-like levels. A further cranking results in condensates and gaps resembling the fractional quantum Hall effect. For a filling fraction…

Condensed Matter · Physics 2007-05-23 R. K. Bhaduri , Shuxi Li , Kaori Tanakaa , J. C. Waddington

This note revisits the semi-classical theory of quantum oscillations in hybridization-gap insulators, and shows that the physical origin of the oscillations, at $T=0$ K, is a sudden change in the diamagnetic moment of each Landau level as…

Strongly Correlated Electrons · Physics 2023-08-16 S. R. Julian

The object of the present work is to study the quantum Hall effect through its symmetries and topological aspects. We consider the model of an electron moving in a two-dimensional lattice in the presence of applied in-plain electric field…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Kunold , M. Torres

The problem of Bloch electrons in two dimensions subject to magnetic and intense electric fields is investigated, the quantum Hall conductance is calculated beyond the linear response approximation. Magnetic translations, electric evolution…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Kunold , M. Torres

The low-temperature($4.2<T<12.5$ K) magnetotransport ($B<2$ T) of two-dimensional electrons occupying two subbands (with energy $E_1$ and $E_2$) is investigated in GaAs single quantum well with AlAs/GaAs superlattice barriers. Two series of…

Mesoscale and Nanoscale Physics · Physics 2009-11-26 A. V. Goran , A. A. Bykov , A. I. Toropov , S. A. Vitkalov

We study quantum oscillations of the magnetization in Bi$_{2}$Se$_{3}$(111) surface system in the presence of a perpendicular magnetic field. The combined spin-chiral Dirac cone and Landau quantization produce profound effects on the…

Mesoscale and Nanoscale Physics · Physics 2011-08-03 Zhigang Wang , Zhen-Guo Fu , Shuang-Xi Wang , Ping Zhang

We review recent results obtained within the framework of the integer quantum Hall effect in the spirit of the work of Germinet, Klein, Schenker in \cite{GKS}. Landau Hamiltonians perturbed by random electric or magnetic perturbations are…

Mathematical Physics · Physics 2010-07-09 François Germinet , Constanza Rojas-Molina

Recent works aiming at understanding magnetotransport phenomena in ferromagnetic III-V and II-VI semiconductors are described. Theory of the anomalous Hall effect in p-type magnetic semiconductors is discussed, and the relative role of…

Materials Science · Physics 2007-05-23 Tomasz Dietl , Fumihiro Matsukura , Hideo Ohno , Joel Cibert , David Ferrand

We investigate the electronic spectra and quantum Hall effect in twisted bilayer graphenes with various rotation angles under magnetic fields, using a model rigorously including the interlayer interaction. We describe the spectral evolution…

Mesoscale and Nanoscale Physics · Physics 2012-05-31 Pilkyung Moon , Mikito Koshino

High magnetic field and low temperature transport is carried out in order to characterize the charge carriers of $\text{PtSe}_2$. In particular, the Shubnikov-de Haas oscillations arising at applied magnetic field strengths $\gtrsim…

Materials Science · Physics 2025-10-31 Julian Max Salchegger , Rajdeep Adhikari , Bogdan Faina , Alberta Bonanni

We propose a quantum stripe (smectic) coupled-Luttinger-liquid model for the anisotropic states which occur in two-dimensional electron systems with high-index partial Landau level filling, $\nu^{*} = \nu - \lbrack\nu\rbrack$. Perturbative…

Condensed Matter · Physics 2009-10-31 A. H. MacDonald , Matthew P. A. Fisher

Interacting electrons confined to their lowest Landau level in a high magnetic field can form a variety of correlated states, some of which manifest themselves in a Hall effect. Although such states have been predicted to occur in three…

Strongly Correlated Electrons · Physics 2023-06-02 S. Galeski , X. Zhao , R. Wawrzyńczak , T. Meng , T. Förster , P. M. Lozano , S. Honnali , N. Lamba , T. Ehmcke , A. Markou , Q. Li , G. Gu , W. Zhu , J. Wosnitza , C. Felser , G. F. Chen , J. Gooth

This paper reports on the observation and analysis of magnetotransport phenomena in the nonlinear differential resistance $r_{xx}=dV_{xx}/dI$ of high-mobility InGaAs/InP and GaAs/AlGaAs Hall bar samples driven by direct current, $\Idc$.…

Mesoscale and Nanoscale Physics · Physics 2012-09-04 S. A. Studenikin , G. Granger , A. Kam , A. S. Sachrajda , Z. R. Wasilewski , P. J. Poole

In the strong magnetic field fractional quantum Hall regime, electrons in a two-dimensional electron system are confined to their lowest Landau level. Because of the macroscopic Landau level degeneracy nearly all physical properties at low…

Condensed Matter · Physics 2009-10-28 A. H. MacDonald

We derive the quantum Boltzmann equation for the two-dimensional electron gas in a magnetic field such that the filling factor $\nu \gg 1$. This equation describes all of the effects of the external fields on the impurity collision integral…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. G. Vavilov , I. L. Aleiner
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