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We report on the fractional quantum Hall states of germanene and silicene where one expects a strong spin-orbit interaction. This interaction causes an enhancement of the electron-electron interaction strength in one of the Landau levels…

介观与纳米尺度物理 · 物理学 2015-06-22 Vadym M. Apalkov , Tapash Chakraborty

We study the current and charge distribution in a two dimensional electron system, under the conditions of the integer quantized Hall effect, on the basis of a quasi-local transport model, that includes non-linear screening effects on the…

介观与纳米尺度物理 · 物理学 2009-11-10 Afif Siddiki , Rolf R. Gerhardts

We study two dimensional electron systems confined in wide quantum wells whose subband separation is comparable with the Zeeman energy. Two N = 0 Landau levels from different subbands and with opposite spins are pinned in energy when they…

介观与纳米尺度物理 · 物理学 2024-02-27 Wenlu Lin , Xing Fan , Lili Zhao , Yoon Jang Chung , Adbhut Gupta , Kirk W. Baldwin , Loren Pfeiffer , Hong Lu , Yang Liu

Low frequency AC-measurements are commonly used to determine the voltage and currents through mesoscopic devices. We calculate the effect of the alternating Hall voltage on the recorded time-averaged voltage in the presence of a top-gate…

介观与纳米尺度物理 · 物理学 2009-05-21 Tobias Kramer , Eric J. Heller , Robert E. Parrott

The diamagnetic response of the free electron gas called the Landau diamagnetism is a complex and elusive effect requiring laborious computations. Here based on the semi-classical treatment of the problem I present a clear picture of the…

介观与纳米尺度物理 · 物理学 2018-12-19 A. V. Nikolaev

Magnetic-field-induced phase transitions in the integer quantum Hall effect are studied under the formation of paired Landau bands arising from Zeeman spin splitting. By investigating features of modular symmetry, we showed that…

介观与纳米尺度物理 · 物理学 2007-05-23 D. R. Hang , R. B. Dunford , Gil-Ho Kim , H. D. Yeh , C. F. Huang , D. A. Ritchie , I. Farrer , Y. W. Zhang , C. -T. Liang , Y. H. Chang

I review some aspects of an alternative model of the quantum Hall effect, which is not based on the presence of disorder potentials. Instead, a quantization of the electronic drift current in the presence of crossed electric and magnetic…

介观与纳米尺度物理 · 物理学 2007-05-23 Tobias Kramer

We study the two-dimensional chiral metal, which is formed at the surface of a layered three-dimensional system exhibiting the integer quantum Hall effect by hybridization of the edge states associated with each layer of the sample. We…

介观与纳米尺度物理 · 物理学 2011-08-05 J. J. Betouras , J. T. Chalker

Recent successes in manufacturing of atomically thin graphite samples (graphene) have stimulated intense experimental and theoretical activity. The key feature of graphene is the massless Dirac type of low-energy electron excitations. This…

介观与纳米尺度物理 · 物理学 2008-05-23 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

Theoretical investigation of Dirac electrons in electrically modulated graphene under perpendicular magnetic field B is presented. We have carried out a detailed study of modulation effect on Dirac electrons, which determine its electrical…

介观与纳米尺度物理 · 物理学 2023-11-21 M Arsalan Ali

We theoretically report that, with \textit{in-plane} magnetization, the quantum anomalous Hall effect (QAHE) can be realized in two-dimensional atomic crystal layers with preserved inversion symmetry but broken out-of-plane mirror…

介观与纳米尺度物理 · 物理学 2017-06-21 Yafei Ren , Junjie Zeng , Xinzhou Deng , Fei Yang , Hui Pan , Zhenhua Qiao

We present a microscopic theory of the anomalous Hall effect in metallic multi-band ferromagnets, which accounts for all scattering-independent contributions, i.e., both the intrinsic and the so-called side jump. For a model of Gaussian…

介观与纳米尺度物理 · 物理学 2010-07-20 Alexey A. Kovalev , Jairo Sinova , Yaroslav Tserkovnyak

We demonstrate dimensional ladder of higher dimensional quantum Hall effects by exploiting quantum Hall effects on arbitrary odd dimensional spheres. Non-relativistic and relativistic Landau models are analyzed on $S^{2k-1}$ in the…

高能物理 - 理论 · 物理学 2017-06-07 Kazuki Hasebe

We use numerical simulations to predict peculiar magnetotransport fingerprints in polycrystalline graphene, driven by the presence of grain boundaries of varying size and orientation. The formation of Landau levels is shown to be restricted…

介观与纳米尺度物理 · 物理学 2014-10-06 Aron W. Cummings , Alessandro Cresti , Stephan Roche

We study the influence of the quantum geometry on the magnetic responses of quadratic band crossing semimetals. More explicitly, we examine the Landau levels, quantum Hall effect, and magnetic susceptibility of a general two-band…

介观与纳米尺度物理 · 物理学 2024-11-18 Chang-geun Oh , Jun-Won Rhim , Bohm-Jung Yang

We construct an effective Hamiltonian for electrons in the fractional quantum Hall regime for GaAs and graphene that takes into account Landau level mixing (for both GaAs and graphene) and subband mixing (for GaAs, due to the nonzero width…

介观与纳米尺度物理 · 物理学 2013-07-03 Michael R. Peterson , Chetan Nayak

In the absence of disorder, the degeneracy of a Landau level (LL) is $N=BA/\phi_0$, where $B$ is the magnetic field, $A$ is the area of the sample and $\phi_0=h/e$ is the magnetic flux quantum. With disorder, localized states appear at the…

无序系统与神经网络 · 物理学 2015-05-13 Chenggang Zhou , Mona Berciu

Torque magnetometry at low temperature and in high magnetic fields B is performed on a MgZnO/ZnO heterostructure incorporating a high-mobility two-dimensional electron system. We find a sawtooth-like quantum oscillatory magnetization M(B),…

介观与纳米尺度物理 · 物理学 2014-02-20 M. Brasse , S. M. Sauther , J. Falson , Y. Kozuka , A. Tsukazaki , Ch. Heyn , M. A. Wilde , M. Kawasaki , D. Grundler

Among the magnetic materials, those with ferromagnetic character are, by far, the most studied in what concerns applications of the magnetocaloric effect. However, recently, diamagnetic materials received due attention never received…

材料科学 · 物理学 2015-08-03 M. S. Reis

In this work we obtain the Landau levels and the Hall conductivity at zero temperature of a two-dimensional electron gas on a conical surface. We investigate the integer quantum Hall effect considering two different approaches. The first…

介观与纳米尺度物理 · 物理学 2014-05-27 A. Poux , L. R. S. Araujo , C. Filgueiras , F. Moraes