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The quantized version of the anomalous Hall effect has been predicted to occur in magnetic topological insulators, but the experimental realization has been challenging. Here, we report the observation of the quantum anomalous Hall (QAH)…

Recently unusual integer quantum Hall effect was observed in graphene in which the Hall conductivity is quantized as $\sigma_{xy}=(\pm 2, \pm 6, \pm 10, >...) \times \frac{e^2}{h}$, where $e$ is the electron charge and $h$ is the Planck…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yasumasa Hasegawa , Mahito Kohmoto

We study the quantum Hall effect in a two-dimensional homogeneous electron gas coupled to a quantum cavity field. As initially pointed out by Kohn, Galilean invariance for a homogeneous quantum Hall system implies that the electronic center…

Mesoscale and Nanoscale Physics · Physics 2024-01-23 Vasil Rokaj , Jie Wang , John Sous , Markus Penz , Michael Ruggenthaler , Angel Rubio

In the quantum anomalous Hall effect, quantized Hall resistance and vanishing longitudinal resistivity are predicted to result from the presence of dissipationless, chiral edge states and an insulating 2D bulk, without requiring an external…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 E. J. Fox , I. T. Rosen , Yanfei Yang , George R. Jones , Randolph E. Elmquist , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

The quantum Hall effect is studied in the topological insulator BiSbTeSe$_2$. By employing top- and back-gate electric fields at high magnetic field, the Landau levels of the Dirac cones in the top and bottom topological surface states can…

Mesoscale and Nanoscale Physics · Physics 2017-11-29 Chuan Li , Bob de Ronde , Artem Nikitin , Yingkai Huang , Mark S. Golden , Anne de Visser , Alexander Brinkman

We report an experimental study of the quantum corrections to the longitudinal conductivity and the Hall coefficient of a low mobility, high density two-dimensional two-dimensional electron gas in a AlGaAs/GaAs/AlGaAs quantum well in a wide…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Vincent Thomas Francois Renard , O. A. Tkachenko , Ze Don Kvon , E. B. Olshanetsky , A. I. Toropov , J. C Portal

We study the critical properties of the quantum anomalous Hall (QAH) plateau transition in magnetic topological insulators. We introduce a microscopic model for the plateau transition in QAH effect at the coercive field and then map it to…

Mesoscale and Nanoscale Physics · Physics 2014-02-11 Jing Wang , Biao Lian , Shou-Cheng Zhang

Quantum wells (QWs) based on mercury telluride (HgTe) thin films provide a large scale of unusual physical properties starting from an insulator via a two-dimensional Dirac semimetal to a three-dimensional topological insulator. These…

Mesoscale and Nanoscale Physics · Physics 2021-09-29 Jan Gospodaric , Alexey Shuvaev , Nikolai N. Mikhailov , Ze D. Kvon , Elena G. Novik , Andrei Pimenov

We have studied the conductivity peak in the transition region between the two lowest integer Quantum Hall states using transmission measurements of edge magnetoplasmons. The width of the transition region is found to increase linearly with…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 N. Q. Balaban , U. Meirav , I. Bar-Joseph

Room-temperature realization of macroscopic quantum phenomena is one of the major pursuits in fundamental physics. The quantum spin Hall state, a topological quantum phenomenon that features a two-dimensional insulating bulk and a helical…

Varying the quantum-well width in an HgTe/CdTe heterostructure allows to realize normal and inverted semiconducting band structures, making it a prototypical system to study two-dimensional (2D) topological-insulator behavior. We have…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 T. Kernreiter , M. Governale , U. Zülicke

Detailed measurements of the longitudinal thermopower of two-dimensional electrons in the first excited Landau level are reported. Clear signatures of numerous fractional quantized Hall states, including those at $\nu = 5/2$ and 7/3, are…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 W. E. Chickering , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

At low temperatures observations of the Hall resistance for Quantum Hall systems at the interface between two Hall plateaux reveal a power-law behaviour, dR_xy/dB ~ T^(-p) (with p = 0.42 +/- 0.01); changing at still smaller temperatures, T…

High Energy Physics - Theory · Physics 2012-07-05 Allan Bayntun , C. P. Burgess

We present far-infrared magnetospectroscopy measurements of a HgTe quantum well in the inverted band structure regime over the temperature range of 2 to 60 K. The particularly low electron concentration enables us to probe the temperature…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 S. Ruffenach , S. S. Krishtopenko , A. V. Ikonnikov , C. Consejo , J. Torres , X. Baudry , P. Ballet , B. Jouault , F. Teppe

At ambient pressure, HfTe$_{5}$ is a material at the boundary between a weak and a strong topological phase, which can be tuned by changes in its crystalline structure or by the application of high magnetic fields. It exhibits a Lifshitz…

The quantum anomalous Hall (QAH) effect holds fundamental importance in topological physics and technological promise for electronics. It is generally believed that the QAH effect can only be realized in insulators. In this Letter, we…

Mesoscale and Nanoscale Physics · Physics 2025-12-30 Yu-Hao Wan , Peng-Yi Liu , Qing-Feng Sun

Recent experiments have studied the tunneling current between the edges of a fractional quantum Hall liquid as a function of temperature and voltage. The results of the experiment are puzzling because at "high" temperature (600-900 mK) the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Roberto D'Agosta , Giovanni Vignale , Roberto Raimondi

We consider the effect of disorder on the themopower in quantum Hall systems. For a sample in the Corbino geometry, where dissipative currents are not carried by edge states, we find that thermopower behaves at high temperatures like a…

Strongly Correlated Electrons · Physics 2013-10-02 N. d'Ambrumenil , R. H. Morf

We report low temperature ($T$) heat capacity ($C$) data on a multiple-quantum-well GaAs/AlGaAs sample in the quantum Hall regime. Relative to its low field magnitude, $C$ exhibits up to 10^5-fold enhancement near $\nu$=1 where Skyrmions…

Condensed Matter · Physics 2009-10-28 V. Bayot , E. Grivei , S. Melinte , M. B. Santos , M. Shayegan

The discovery of the quantum Hall (QH) effect led to the realization of a topological electronic state with dissipationless currents circulating in one direction along the edge of a two dimensional electron layer under a strong magnetic…