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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 numerically study the three-dimensional (3D) quantum Hall effect (QHE) and magnetothermoelectric transport of Weyl semimetals in the presence of disorder. We obtain a bulk picture that the exotic 3D QHE emerges in a finite range of Fermi…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 R. Ma , D. N. Sheng , L. Sheng

We study the quantum anomalous Hall states in the $p$-orbital bands of the honeycomb optical lattices loaded with the single component fermions. Such an effect has not been realized in both condensed matter and cold atom systems yet. By…

Quantum Gases · Physics 2011-03-02 Machi Zhang , Hsiang-hsuan Hung , Chuanwei Zhang , Congjun Wu

The experimental observation of quantum anomalous Hall effect (QAHE) in magnetic topological insulators has stimulated enormous interest in condensed-matter physics and materials science. For the purpose of realizing high-temperature QAHE,…

Materials Science · Physics 2019-05-24 Yang Ma , Yu Yun , Yuehui Li , Wenyu Xing , Yunyan Yao , Ranran Cai , Yangyang Chen , Yuan Ji , Peng Gao , Xin-Cheng Xie , Wei Han

We experimentally realize quantum Hall Mach-Zehnder interferometer which operates far beyond the equilibrium. The operation of the interferometer is based on allowed intra-edge elastic transitions within the same Landau sublevel in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 E. V. Deviatov , A. Ganczarczyk , A. Lorke , G. Biasiol , L. Sorba

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

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

Evidence of the Ettingshausen effect in the breakdown regime of the integer quantum Hall effect has been observed in a GaAs/AlGaAs two-dimensional electron system. Resistance of micro Hall bars attached to both edges of a current channel…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yosuke Komori , Tohru Okamoto

This review presents experimental results on the inter-edge-state transport in the quantum Hall effect, mostly obtained in the regime of high imbalance. The application of a special geometry makes it possible to perform I-V spectroscopy…

Mesoscale and Nanoscale Physics · Physics 2008-03-19 E. V. Deviatov , A. Lorke

By theoretically analyzing the recent temperature dependent transport data in pentalayer graphene [Lu et al., arXiv:2408.10203], we establish that the experimentally observed transition from low-temperature quantum anomalous Hall effect to…

Mesoscale and Nanoscale Physics · Physics 2024-11-01 Sankar Das Sarma , Ming Xie

The reentrant integer quantum Hall effects (RIQHE) are due to formation of electronic crystals. We show analytically and numerically that topological textures in the charge density distribution in these crystals in the vicinity of charged…

Mesoscale and Nanoscale Physics · Physics 2017-05-16 G. E. Simion , T-G. Lin , J. D. Watson , M. J. Manfra , G. A. Csáthy , L. P. Rokhinson , Y. B. Lyanda-Geller

The stability to interactions and disorder of the quantum spin Hall effect (QSHE) proposed for time-reversal-invariant 2D systems is discussed. The QSHE requires an energy gap in the bulk and gapless edge modes that conduct spin-up and…

Mesoscale and Nanoscale Physics · Physics 2011-03-29 Cenke Xu , J. E. Moore

The quantum Hall effect is widely used for the investigation of fundamental phenomena, ranging from topological phases to composite fermions. In particular, the discovery of a room temperature resistance quantum in graphene is significant…

We present a theoretical framework to describe the integer quantum Hall effect (IQHE) in three-dimensional (3D) electron systems. This extends our previous single-electron approach, which was successfully applied to two-dimensional (2D)…

Mesoscale and Nanoscale Physics · Physics 2025-09-09 M. A. Hidalgo

Current carrying chiral edge states in quantum Hall systems have fascinating properties that are usually studied by electron spectroscopy and interferometry. Here we demonstrate that electron occupation, current, and electron coherence in…

Mesoscale and Nanoscale Physics · Physics 2024-04-19 Ashutosh Singh , Maria Sebastian , Mikhail Tokman , Alexey Belyanin

The discovery of the anomalous Hall effect (AHE) in bulk metallic antiferromagnets (AFMs) motivates the search of the same phenomenon in two-dimensional (2D) systems, where a quantized anomalous Hall conductance can in principle be…

We study the effect of disorder on the anomalous Hall effect (AHE) in two-dimensional ferromagnets. The topological nature of AHE leads to the integer quantum Hall effect from a metal, i.e., the quantization of $\sigma_{xy}$ induced by the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Masaru Onoda , Naoto Nagaosa

A quantum phase transition arises from competition between different ground states and is typically accessed by varying a single physical parameter near absolute zero temperature. The quantum anomalous Hall (QAH) effect with high Chern…

Mesoscale and Nanoscale Physics · Physics 2025-08-27 Ling-Jie Zhou , Deyi Zhuo , Ruobing Mei , Yi-Fan Zhao , Kaijie Yang , Ruoxi Zhang , Zijie Yan , Han Tay , Moses H. W. Chan , Chao-Xing Liu , Cui-Zu Chang

We present a microscopic theory for the recently observed reentrant integral quantum Hall effect in the n=1 and n=2 Landau levels. Our energy investigations indicate an alternating sequence of M-electron-bubble and quantum-liquid ground…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. O. Goerbig , P. Lederer , C. Morais Smith

Reentrant integer quantum Hall (RIQH) states are believed to be correlated electron solid phases, though their microscopic description remains unclear. As bias current increases, longitudinal and Hall resistivities measured for these states…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 Alexander V. Rossokhaty , Yuval Baum , Joshua A. Folk , John D. Watson , Geoffrey C. Gardner , Michael J. Manfra
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