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Both longitudinal and anomalous Hall conductivity are computed in the model of two-dimensional Dirac fermions with a mass in the presence of arbitrary correlated weak disorder. The anomalous Hall conductivity is shown to be highly sensitive…

Disordered Systems and Neural Networks · Physics 2018-01-03 I. A. Ado , I. A. Dmitriev , P. M. Ostrovsky , M. Titov

We present a microscopical theory and experimental results concerning resistance resonance in two tunneling coupled quantum wells with different mobilities. The shape of the resonance appears to be sensitive to the small angle scattering…

Condensed Matter · Physics 2009-10-22 Y. Berk , A. Kamenev , A. Palevski , L. N. Pfeiffer , K. W. West

A theory of transport in the quantum Hall regime is developed for separately contacted double-layer electron systems. Inter-layer tunneling provides a channel for equilibration of the distribution functions in the two layers and influences…

Condensed Matter · Physics 2015-06-25 D. Yoshioka , A. H. MacDonald

The quantum anomalous Hall effect in magnetic topological insulators has been recognized as a promising platform for applications in quantum metrology. The primary reason for this is the electronic conductance quantization at zero external…

Mesoscale and Nanoscale Physics · Physics 2024-05-14 Kajetan M. Fijalkowski , Nan Liu , Martin Klement , Steffen Schreyeck , Karl Brunner , Charles Gould , Laurens W. Molenkamp

We demonstrate experimentally that the transitions between adjacent integer quantum Hall (QH) states are equivalent to a QH-to-insulator transition occurring in the top Landau level, in the presence of an inert background of the other…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 D. Shahar , D. C. Tsui , M. Shayegan , E. Shimshoni , S. L. Sondhi

We analyze density profiles for atomic quantum Hall states, which are expected to form in systems of rotating cold atoms in the high-rotation limit. For a two-dimensional (single-layer) system we predict a density landscape showing plateaus…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. R. Cooper , F. J. M. van Lankvelt , J. W. Reijnders , K. Schoutens

Anomalous Hall effect in very clean samples (high conductivity regime) is studied using a two-dimensional network model. We find that the off-diagonal conductivity comprises two parts: one which reflects the bulk properties as obtained by…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Pavel Středa , Karel Výborný

In a two-dimensional electron gas, the quantized Hall conductance can be induced by a strong magnetic field, known as the quantum Hall effect, and it can also result from the strong exchange coupling of magnetic ions, dubbed as the "quantum…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Xin Liu , Hsiu-Chuan Hsu , Chao-Xing Liu

We have introduced a controllable nano-scale incursion into a potential barrier imposed across a two-dimensional electron gas, and report on the phenomena that we observe as the incursion develops. In the quantum Hall regime, the…

Theoretically, the quantum anomalous Hall effect is characterized by a quantized Hall conductance. However, many experiments only reported the quantization of the Hall resistance, which is accompanied by a non-vanishing longitudinal…

Mesoscale and Nanoscale Physics · Physics 2023-07-18 Rui Chen , Hai-Peng Sun , Bin Zhou , Dong-Hui Xu

We develop a theory of edge state transport in separately contacted double-layer quantum Hall systems which are tuned close to the resonance condition for tunneling between the layers. When applied to the case where contact is made to only…

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

The quantum Hall effect emerges when two-dimensional samples are subjected to strong magnetic fields at low temperatures: Topologically protected edge states cause a quantized Hall conductivity in multiples of $e^2/h$. Here we show that the…

Strongly Correlated Electrons · Physics 2024-10-11 Börge Göbel , Ingrid Mertig

We study the plateaux of the integer quantum Hall resistance in a bilayer electron system in tilted magnetic fields. In a narrow range of tilt angles and at certain magnetic fields, the plateau level deviates appreciably from the quantized…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. V. Deviatov , A. A. Shashkin , V. T. Dolgopolov , H. -J. Kutschera , A. Wixforth , K. L. Campman , A. C. Gossard

We report on the quantum Hall effect in two stacked graphene layers rotated by 2 degree. The tunneling strength among the layers can be varied from very weak to strong via the mechanism of magnetic breakdown when tuning the density.…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 Youngwook Kim , Pilkyung Moon , Kenji Watanabe , Takashi Taniguchi , Jurgen H. Smet

We report on the scaling behavior of V-doped (Bi,Sb)$_2$Te$_3$ samples in the quantum anomalous Hall regime for samples of various thickness. While previous quantum anomalous Hall measurements showed the same scaling as expected from a…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 S. Grauer , K. M. Fijalkowski , S. Schreyeck , M. Winnerlein , K. Brunner , R. Thomale , C. Gould , L. W. Molenkamp

Quantum transport properties in quantum Hall wires in the presence of spatially correlated disordered magnetic fields are investigated numerically. It is found that the correlation drastically changes the transport properties associated…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Tohru Kawarabayashi , Yoshiyuki Ono , Tomi Ohtsuki , Stefan Kettemann , Alexander Struck , Bernhard Kramer

The anomalous Hall effect in disordered band ferromagnets is considered in the framework of quantum transport theory. A microscopic model of electrons in a random potential of identical impurities including spin-orbit coupling is used. The…

Disordered Systems and Neural Networks · Physics 2009-11-11 P. Woelfle , K. A. Muttalib

Recent experiments seem to confirm predictions that interactions lead to charge density wave ground states in higher Landau levels. These new ``correlated'' ground states of the quantum Hall system manifest themselves for example in a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Felix von Oppen , Bertrand I. Halperin , Ady Stern

A key step towards dissipationless transport devices is the quantum anomalous Hall effect, which is characterized by an integer quantized Hall conductance in a ferromagnetic insulator with strong spin-orbit coupling. In this work, the…

Mesoscale and Nanoscale Physics · Physics 2013-08-29 Hai-Zhou Lu , Shun-Qing Shen

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…

Mesoscale and Nanoscale Physics · Physics 2009-05-21 Tobias Kramer , Eric J. Heller , Robert E. Parrott