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We show through both theoretical arguments and numerical calculations that graphene discerns an unconventional sequence of quantized Hall conductivity, when subject to both magnetic fields (B) and strain. The latter produces time-reversal…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 Bitan Roy , Zi-Xiang Hu , Kun Yang

The purpose of this paper is to formulate a kinetic theory describing transport properties of electrons in a uniform magnetic field of arbitrary magnitude. Exposing an electronic system to a constant magnetic field quenches its energy bands…

Mesoscale and Nanoscale Physics · Physics 2025-09-09 Kitinan Pongsangangan

In high-mobility two-dimensional electron gases Landau levels are already formed at very small magnetic field values. Such two-dimensional electron gases show a huge negative magnetoresistance at low temperatures and an unexpected and very…

Mesoscale and Nanoscale Physics · Physics 2015-09-21 L. Bockhorn , J. Inarrea , R. J. Haug

The linear response of two-dimensional electron gas in a perpendicular magnetic field in the presence of a spatially dependent classically smooth electrostatic potential is studied theoretically, by application of the Kubo formula for…

Mesoscale and Nanoscale Physics · Physics 2020-06-23 O. E. Raichev

We study the effect of magnetic field on the properties of a high mobility gated two-dimensional electron gas in a field effect transistor with the Hall bar geometry. When approaching the current saturation when the drain side of the…

Mesoscale and Nanoscale Physics · Physics 2020-12-30 N. Dyakonova , M. Dyakonov , Z. D. Kvon

We study the influence of quantizing perpendicular magnetic fields on the ground state of a bilayer with electron and hole fluids separated by an opaque tunnel barrier. In the absence of a field, the ground state at low carrier densities is…

Mesoscale and Nanoscale Physics · Physics 2024-04-09 Bo Zou , Yongxin Zeng , A. H. MacDonald , Artem Strashko

We have measured the magnetization of a dual-subband two-dimensional electron gas, confined in a GaAs/AlGaAs heterojunction. In contrast to two-dimensional electron gases with a single subband, we observe non-1/B-periodic, triangularly…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. R. Schaapman , U. Zeitler , P. C. M. Christianen , J. C. Maan , D. Reuter , A. D. Wieck , D. Schuh , M. Bichler

We calculate the local density of states of a two-dimensional electron system under strong crossed magnetic and electric fields. We assume a strong perpendicular magnetic field which, in the absence of in-plane electric fields and collision…

Mesoscale and Nanoscale Physics · Physics 2011-05-11 S. Erden Gulebaglan , I. Sokmen , A. Siddiki , R. R. Gerhardts

The quantum Hall conductance of a disordered two-dimensional gas of non-interacting electrons is re-examined for its integrity against disorder in the limit of no mixing between different Landau levels. The exact one-electron eigenstates of…

Condensed Matter · Physics 2007-05-23 N. Kumar

The spectrum of charged particles in translation-invariant systems in a magnetic field is characterized by the Landau levels, which play a fundamental role in the thermodynamic and transport properties of solids. The topological nature and…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 Isac Sahlberg , Moein N. Ivaki , Kim Pöyhönen , Teemu Ojanen

We present nonlocal resistance measurements in an ultra high mobility two dimensional electron gas. Our experiments show that even at weak magnetic fields classical guiding along edges leads to a strong non local resistance on macroscopic…

Mesoscale and Nanoscale Physics · Physics 2012-12-11 A. D. Chepelianskii , J. Laidet , I. Farrer , D. A. Ritchie , K. Kono , H. Bouchiat

Quantum electron transport in side-gated graphene Hall bars is investigated in the presence of quantizing external magnetic fields. The asymmetric potential of four side-gates distorts the otherwise flat bands of the relativistic Landau…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 M. D. Petrović , F. M. Peeters

Since the discovery of the Fractional Quantum Hall Effect in 1982 there has been considerable theoretical discussion on the possibility of fractional quantization of conductance in the absence of Landau levels formed by a quantizing…

Mesoscale and Nanoscale Physics · Physics 2019-03-05 S. Kumar , M. Pepper , S. N. Holmes , H. Montagu , Y. Gul , D. A. Ritchie , I. Farrer

Many intriguing phenomena occur for electrons under strong magnetic fields. Recently, it was proposed that an appropriate strain texture in graphene can induce a synthetic gauge field, in which the electrons behave like in a real magnetic…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Xinhua Wen , Chunyin Qiu , Yajuan Qi , Liping Ye , Manzhu Ke , Fan Zhang , Zhengyou Liu

We present a versatile design of freely suspended quantum point contacts with particular large one-dimensional subband quantization energies of up to 10meV. The nanoscale bridges embedding a two-dimensional electron system are fabricated…

Mesoscale and Nanoscale Physics · Physics 2010-06-17 C. Rossler , M. Herz , M. Bichler , S. Ludwig

We study light scattering from a periodically modulated two dimensional electron gas in a perpendicular magnetic field. If a subband is partially filled, the imaginary part of the dielectric function as a function of frequency contains…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Arne Brataas , C. Zhang , K. A. Chao

At total Landau level filling factor $\nu_{tot}=1$ a double layer two-dimensional electron system with small interlayer separation supports a collective state possessing spontaneous interlayer phase coherence. This state exhibits the…

Mesoscale and Nanoscale Physics · Physics 2012-08-28 M. Kellogg , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

The thermodynamic potential of an ideal nonrelativistic gas of two-dimensional electrons in crossed uniform magnetic and electric fields is constructed. For low temperatures and very weak electric fields, it is shown that the Hall…

Condensed Matter · Physics 2007-05-23 Choon-Lin Ho , V. R. Khalilov , Chi Yang

We present longitudinal and Hall magneto-resistance measurements of a ``magnetic'' two-dimensional electron gas (2DEG) formed in modulation-doped Zn$_{1-x-y}$Cd$_{x}$Mn$_{y}$Se quantum wells. The electron spin splitting is temperature and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. Knobel , N. Samarth , J. G. E. Harris , D. D. Awschalom

Transport in a two-dimensional electron gas subject to an external magnetic field is analyzed in the presence of a \textit{longitudinal barrier.} We show that \textit{quantum interference of the edge states} bound by the longitudinal…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. M. Kadigrobov , M. V. Fistul , K. B. Efetov