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The quasi-quantized Hall effect (QQHE) is the three-dimensional (3D) counterpart of the integer quantum Hall effect (QHE),exhibited only by two-dimensional (2D) electron systems. It has recently been observed in layered materials,…

Mesoscale and Nanoscale Physics · Physics 2022-02-10 Rafał Wawrzyńczak , Stanislaw Galeski , Jonathan Noky , Yan Sun , Claudia Felser , Johannes Gooth

We present low temperature transport measurements on dual-gated suspended trilayer graphene in the quantum Hall (QH) regime. We observe QH plateaus at filling factors {\nu}=-8, -2, 2, 6, and 10, in agreement with the full-parameter tight…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Yongjin Lee , Jairo Velasco , David Tran , Fan Zhang , Wenzhong Bao , Lei Jing , Kevin Myhro , Dmitry Smirnov , Chun Ning Lau

The quantum anomalous Hall effect (QAHE) in magnetic topological insulators offers great potential to revolutionize quantum electrical metrology by establishing primary resistance standards operating at zero external magnetic field and…

We consider an effective model for graphene with interface-induced spin-orbit coupling and calculate the quantum Hall effect in the low-energy limit. We perform a systematic analysis of the contribution of the different terms of the…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Tarik P. Cysne , Jose H. Garcia , Alexandre R. Rocha , Tatiana G. Rappoport

We present precision measurements of the fractional quantized Hall effect where the quantized resistance $R^{[1/3]}$ in the fractional quantum Hall state at filling factor 1/3 was compared with a quantized resistance $R^{[2]}$, represented…

Mesoscale and Nanoscale Physics · Physics 2017-06-30 Franz J. Ahlers , Martin Götz , Klaus Pierz

The quantum Hall (QH) effect in two-dimensional electron systems (2DESs) is conventionally observed at liquid-helium temperatures, where lattice vibrations are strongly suppressed and bulk carrier scattering is dominated by disorder.…

The quantum anomalous Hall effect (QAHE) is a quantum phenomenon in which a two-dimensional system exhibits a quantized Hall resistance $h/e^2$ in the absence of magnetic field, where $h$ is the Planck constant and $e$ is the electron…

Mesoscale and Nanoscale Physics · Physics 2026-01-13 Zhi-Qiang Zhang , Yu-Hang Li , Ming Lu , Hongfang Liu , Hailong Li , Hua Jiang , X. C. Xie

When electrons are confined in two-dimensional (2D) materials, quantum mechanically enhanced transport phenomena, as exemplified by the quantum Hall effects (QHE), can be observed. Graphene, an isolated single atomic layer of graphite, is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yuanbo Zhang , Yan-Wen Tan , Horst L. Stormer , Philip Kim

Quantum Anomalous Hall (QAH) state in six quintuple layer Cr$_{0.1}$(Bi$_{0.2}$Sb$_{0.8}$)$_{1.9}$Te$_3$ thin films were studied through scanning tunneling spectroscopy (STS) and electrical transport measurements. While the surface state is…

The quantum Hall effect (QHE) with quantized Hall resistance of h/{\nu}e2 starts the research on topological quantum states and lays the foundation of topology in physics. Afterwards, Haldane proposed the QHE without Landau levels, showing…

Mesoscale and Nanoscale Physics · Physics 2020-08-17 Jun Ge , Yanzhao Liu , Jiaheng Li , Hao Li , Tianchuang Luo , Yang Wu , Yong Xu , Jian Wang

In this paper we review the recent extraordinary progress in the development of a new quantum standard for resistance based on graphene. We discuss the unique properties of this material system relating to resistance metrology and discuss…

Mesoscale and Nanoscale Physics · Physics 2013-10-21 T. J. B. M. Janssen , A. Tzalenchuk , S. Lara-Avila , S. Kubatkin , V. I. Fal'ko

The interplay between ferromagnetism and topological properties of electronic band structures leads to a precise quantization of Hall resistance without any external magnetic field. This so-called quantum anomalous Hall effect (QAHE) is…

Applied Physics · Physics 2022-03-29 Shamiul Alam , Md Shafayat Hossain , Ahmedullah Aziz

Over a long period of exploration, the successful observation of quantized version of anomalous Hall effect (AHE) in thin film of magnetically-doped topological insulator completed a quantum Hall trio---quantum Hall effect (QHE), quantum…

Mesoscale and Nanoscale Physics · Physics 2015-08-18 Hongming Weng , Rui Yu , Xiao Hu , Xi Dai , Zhong Fang

We report on the observation of the quantum Hall effect at high temperatures in HgTe quantum wells with a finite band gap and a thickness below and above the critical thickness $d_\textnormal{c}$ that separates a conventional semiconductor…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 T. Khouri , M. Bendias , P. Leubner , C. Brüne , H. Buhmann , L. W. Molenkamp , U. Zeitler , N. E. Hussey , S. Wiedmann

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…

The structure of edge modes at the boundary of quantum Hall (QH) phases forms the basis for understanding low energy transport properties. In particular, the presence of ``upstream'' modes, moving against the direction of charge current…

We report the observation of the quantized Hall effect in suspended graphene probed with a two-terminal lead geometry. The failure of earlier Hall-bar measurements is discussed and attributed to the placement of voltage probes in mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2011-08-22 I. Skachko , X. Du , F. Duerr , A. Luican , D. A. Abanin , L. S. Levitov , E. Y. Andrei

The integer quantum anomalous Hall (QAH) effect is a lattice analog of the quantum Hall effect at zero magnetic field. This striking transport phenomenon occurs in electronic systems with topologically nontrivial bands and spontaneous…

The observation of the anomalous quantum Hall effect in exfoliated graphene flakes triggered an explosion of interest in graphene. It was however not observed in high quality epitaxial graphene multilayers grown on silicon carbide…

Mesoscale and Nanoscale Physics · Physics 2009-08-31 Xiaosong Wu , Yike Hu , Ming Ruan , Nerasoa K Madiomanana , John Hankinson , Mike Sprinkle , Claire Berger , Walt A. de Heer

Edge states of a topological insulator can be used to explore fundamental science emerging at the interface of low dimensionality and topology. Achieving a robust conductance quantization, however, has proven challenging for helical edge…

Mesoscale and Nanoscale Physics · Physics 2024-08-16 Ke Huang , Hailong Fu , Kenji Watanabe , Takashi Taniguchi , Jun Zhu
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