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The fractions of constant conductivity, i, where the conductivity is ie^2/h are interpretted to arise from the summation of two frequencies, \omega_1+ \omega_2, type of processes so that the quantum Hall effect becomes a problem of…

介观与纳米尺度物理 · 物理学 2007-05-23 Keshav N. Shrivastava

This article briefly reviews the quantum Hall effect and the contributions of the winners of the 1998 Nobel Prize in Physics.

科普物理 · 物理学 2007-05-23 Diptiman Sen

The quantum Hall effect is one of the most important developments in condensed matter physics of the 20th century. The standard explanations of the famous integer quantized Hall plateaus in the transverse resistivity are qualitative, and…

介观与纳米尺度物理 · 物理学 2008-11-24 Tobias Kramer , Eric J. Heller , Robert E. Parrott , Chi-Te Liang , C. F. Huang , Kuang Yao Chen , Li-Hung Lin , Jau-Yang Wu , Sheng-Di Lin

The fractional quantum Hall effect in 2D electron gases submitted to large magnetic fields remains one of the most striking phenomena in condensed matter physics. Historically, the first observed signature is a Hall resistance quantized to…

介观与纳米尺度物理 · 物理学 2022-08-29 Nicolas Rougerie

Exploring new Hall effect is always a fascinating research topic. The ordinary Hall effect and the quantum Hall effect, initially discovered in two-dimensional (2D) non-magnetic systems, are the phenomena that a transverse current is…

介观与纳米尺度物理 · 物理学 2024-05-27 Chaoxi Cui , Run-Wu Zhang , Yilin Han , Zhi-Ming Yu , Yugui Yao

We discuss the possible topological order/topological quantum field theory of different quantum Hall systems. Given the value of the Hall conductivity, we constrain the global symmetry of the low-energy theory and its anomaly. Specifically,…

强关联电子 · 物理学 2026-03-06 Meng Cheng , Seth Musser , Amir Raz , Nathan Seiberg , T. Senthil

The discovery of the quantum Hall effect (QHE) in 1980 marked a turning point in condensed matter physics: given appropriate experimental conditions, the Hall conductivity {\sigma}_xy of a two-dimensional (2D) electron system is exactly…

介观与纳米尺度物理 · 物理学 2023-06-13 Johannes Gooth , Stanislaw Galeski , Tobias Meng

In this contribution, we present an introduction to the physical principles underlying the quantum Hall effect. The field theoretic approach to the integral and fractional effect is sketched, with some emphasis on the mechanism of…

介观与纳米尺度物理 · 物理学 2015-03-17 Samuel Bieri , Juerg Froehlich

We report the observation of a quantum anomalous Hall effect in twisted bilayer graphene showing Hall resistance quantized to within .1\% of the von Klitzing constant $h/e^2$ at zero magnetic field.The effect is driven by intrinsic strong…

强关联电子 · 物理学 2020-03-18 M. Serlin , C. L. Tschirhart , H. Polshyn , Y. Zhang , J. Zhu , K. Watanabe , T. Taniguchi , L. Balents , A. F. Young

The fractional quantum Hall effect at $\nu=2+3/8$, which has been definitively observed, is one of the last fractions for which no viable explanation has so far been demonstrated. Our detailed study suggests that it belongs to a new class…

介观与纳米尺度物理 · 物理学 2017-03-08 Jimmy A. Hutasoit , Ajit C. Balram , Sutirtha Mukherjee , Ying-Hai Wu , Sudhansu S. Mandal , A. Wojs , Vadim Cheianov , J. K. Jain

We give a brief introduction to the phenomenon of the Fractional Quantum Hall effect, whose discovery was awarded the Nobel prize in 1998. We also explain the composite fermion picture which describes the fractional quantum Hall effect as…

介观与纳米尺度物理 · 物理学 2007-05-23 Sumathi Rao

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…

介观与纳米尺度物理 · 物理学 2009-11-10 Yosuke Komori , Tohru Okamoto

The Hall effects comprise one of the oldest but most vital fields in condensed matter physics, and they persistently inspire new findings, such as quantum Hall effects and topological phases of matter. The recently discovered nonlinear Hall…

介观与纳米尺度物理 · 物理学 2021-09-09 Z. Z. Du , Hai-Zhou Lu , X. C. Xie

The quantum Hall effects, discovered about thirty years ago have remained one of the most spectacular discoveries in condensed matter physics in the past century. Those discoveries triggered huge expansion in the field of low-dimensional…

介观与纳米尺度物理 · 物理学 2011-02-28 Tapash Chakraborty , Klaus von Klitzing

The recently discovered nonlinear Hall effect (NHE) in a few non-interacting systems provides a novel mechanism to generate second harmonic electrical Hall signals under time-reversal-symmetric conditions. Here, we introduce a new approach…

介观与纳米尺度物理 · 物理学 2022-10-25 Meizhen Huang , Zefei Wu , Jinxin Hu , Xiangbin Cai , En Li , Liheng An , Xuemeng Feng , Ziqing Ye , Nian Lin , Kam Tuen Law , Ning Wang

The quantum Hall effect (QHE), one example of a quantum phenomenon that occur on a truly macroscopic scale, has been attracting intense interest since its discovery in 1980 and has helped elucidate many important aspects of quantum physics.…

介观与纳米尺度物理 · 物理学 2007-05-23 K. S. Novoselov , Z. Jiang , Y. Zhang , S. V. Morozov , H. L. Stormer , U. Zeitler , J. C. Maan , G. S. Boebinger , P. Kim , A. K. Geim

The fractional quantum Hall effect, where plateaus in the Hall resistance at values of coexist with zeros in the longitudinal resistance, results from electron correlations in two dimensions under a strong magnetic field. Current flows…

介观与纳米尺度物理 · 物理学 2015-05-13 M. Dolev , M. Heiblum , V. Umansky , Ady Stern , D. Mahalu

These lecture notes attempt to explain the main ideas of the theory of the quantum Hall effect. The emphasis is on the localization and interaction physics in the extreme quantum limit which gives rise to the quantum Hall effect. The…

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

In certain backgrounds string theory exhibits quantum Hall-like behavior. These backgrounds provide an explicit realization of the effective non-commutative gauge theory description of the fractional quantum Hall effect (FQHE), and of the…

高能物理 - 理论 · 物理学 2017-08-23 Oren Bergman

Hall effect is detected in organic field-effect transistors, using appropriately shaped rubrene (C42H28) single crystals. It turned out that inverse Hall coefficient, having a positive sign, is close to the amount of electric-field induced…

材料科学 · 物理学 2009-11-11 J. Takeya , K. Tsukagoshi , Y. Aoyagi , T. Takenobu , Y. Iwasa
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