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We report on theoretical and experimental investigations of the integer quantized Hall effect in narrow channels at various mobilities. The Hall bars are defined electrostatically in two-dimensional electron systems by biasing metal gates…

介观与纳米尺度物理 · 物理学 2009-11-13 J. Horas , A. Siddiki , J. Moser , W. Wegscheider , S. Ludwig

Recent transport experiments have established that two-dimensional electron systems with high-index partial Landau level filling, $\nu^{*} =\nu - \lbrack \nu \rbrack$, have ground states with broken orientational symmetry. In a mean-field…

凝聚态物理 · 物理学 2007-05-23 A. H. MacDonald , Matthew P. A. Fisher

We study two-dimensional (2D) droplets of noninteracting electrons in a strong magnetic field, placed in a confining potential with arbitrary shape. Using semiclassical methods adapted to the lowest Landau level, we obtain near-Gaussian…

介观与纳米尺度物理 · 物理学 2024-05-06 Blagoje Oblak , Bastien Lapierre , Per Moosavi , Jean-Marie Stéphan , Benoit Estienne

We have investigated the local magneto-transport in high-quality 2D electron systems at low carrier densities. The positive magneto-resistance in perpendicular magnetic field in the strongly insulating regime has been measured to evaluate…

介观与纳米尺度物理 · 物理学 2009-11-10 A. Ghosh , M. Pepper , H. E. Beere , D. A. Ritchie

The shape analysis of the energy spacing distribution $P(s)$ obtained from numerical simulation of two dimensional disordered electron systems subject to strong magnetic fields is performed. In the present work we reanalyze the data…

介观与纳米尺度物理 · 物理学 2015-06-25 Imre Varga , Yoshiyuki Ono , Tomi Ohtsuki , Janos Pipek

In order to investigate whether space coordinates are intrinsically noncommutative, we make use of the Hall effect on the two-dimensional plane. We calculate the Hall conductivity in such a way that the noncommutative U(1) gauge invariance…

高能物理 - 理论 · 物理学 2007-05-23 Akira Kokado , Takashi Okamura , Takesi Saito

We present transport measurements performed in InAs/GaSb double quantum wells. At the electron-hole crossover tuned by a gate voltage, a strong increase in the longitudinal resistivity is observed with increasing perpendicular magnetic…

Bilayer graphene has attracted considerable interest due to the important role played by many-body effects, particularly at low energies. Here we report local compressibility measurements of a suspended graphene bilayer. We find that the…

介观与纳米尺度物理 · 物理学 2011-05-05 Jens Martin , Benjamin E. Feldman , R. Thomas Weitz , Monica T. Allen , Amir Yacoby

In this work, the edge physics of an Aharonov-Bohm interferometer (ABI) defined on a two dimensional electron gas, subject to strong perpendicular magnetic field B, is investigated. We solve the three dimensional Poisson equation using…

介观与纳米尺度物理 · 物理学 2015-05-14 E. Cicek , A. I. Mese , M. Ulas , A. Siddiki

The transport properties of a rectangular mesoscopic plaquette in the presence of a perpendicular magnetic field are studied in a tight-binding model with randomly distributed traps. The longitudinal and Hall resistances are calculted in…

介观与纳米尺度物理 · 物理学 2015-06-25 A. Aldea , P. Gartner , M. Nita

The longitudinal resistivity of two dimensional (2D) electrons placed in strong magnetic field is significantly reduced by applied electric field, an effect which is studied in a broad range of magnetic fields and temperatures in GaAs…

介观与纳米尺度物理 · 物理学 2009-07-20 Jing Qiao Zhang , Sergey Vitkalov , A. A. Bykov

We review the basic aspects of electrons in graphene (two-dimensional graphite) exposed to a strong perpendicular magnetic field. One of its most salient features is the relativistic quantum Hall effect the observation of which has been the…

介观与纳米尺度物理 · 物理学 2011-11-24 M. O. Goerbig

We study the magnetotransport properties of dual-gated graphene bilayers, in which the total density and layer density imbalance are independently controlled. As the bilayer is imbalanced we observe the emergence of a quantum Hall state…

介观与纳米尺度物理 · 物理学 2009-09-15 Seyoung Kim , E. Tutuc

Quantized Hall conductance is a generic feature of two dimensional electronic systems with broken time reversal symmetry. In the quantum anomalous Hall state recently discovered in magnetic topological insulators, time reversal symmetry is…

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

We present the essential findings of the screening theory of the integer quantum Hall effect (IQHE) considering a quantum point contact (QPC). Our approach is to solve the Poisson and the Schroedinger equations self-consistently, taking…

介观与纳米尺度物理 · 物理学 2015-05-13 A. Siddiki

A quantum anomalous Hall (QAH) insulator is characterized by quantized Hall and vanishing longitudinal resistances at zero magnetic field that are protected against local perturbations and independent of sample details. This insensitivity…

介观与纳米尺度物理 · 物理学 2021-12-28 G. M. Ferguson , Run Xiao , Anthony R. Richardella , David Low , Nitin Samarth , Katja C. Nowack

When the quantum Hall effect occurs in a two-dimensional electron gas, all low-energy elementary excitations are localized near the system edge. The edge acts in many ways like a one-dimensional ring of electrons, except that a finite…

凝聚态物理 · 物理学 2007-05-23 A. H. MacDonald

We study a relativistic two-dimensional electron gas in the presence of a uniform external magnetic field and a random static scalar potential. We compute, in first order perturbation theory, the averages of the charge density and of the…

介观与纳米尺度物理 · 物理学 2015-06-25 N. Bralic , C. A. A. de Carvalho , R. M. Cavalcanti , P. Donatis

A transport study of two-dimensional (2D) holes confined to wide GaAs quantum wells provides a glimpse of a subtle competition between different many-body phases at Landau level filling $\nu=3/2$ in tilted magnetic fields. At large tilt…

介观与纳米尺度物理 · 物理学 2016-11-08 Yang Liu , M. A. Mueed , Md. Shafayat Hossain , S. Hasdermir , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan