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Electron pairing is a rare phenomenon appearing only in a few unique physical systems; e.g., superconductors and Kondo-correlated quantum dots. Here, we report on an unexpected, but robust, electron "pairing" in the integer quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Hyungkook Choi , Itamar Sivan , Amir Rosenblatt , Moty Heiblum , Vladimir Umansky , Diana Mahalu

The quantum anomalous Hall effect (QAHE) is a robust topological phenomenon featuring quantized Hall resistance at zero magnetic field. We report the QAHE in a rhombohedral pentalayer graphene/monolayer WS2 heterostructure. Distinct from…

Mesoscale and Nanoscale Physics · Physics 2024-05-14 Tonghang Han , Zhengguang Lu , Yuxuan Yao , Jixiang Yang , Junseok Seo , Chiho Yoon , Kenji Watanabe , Takashi Taniguchi , Liang Fu , Fan Zhang , Long Ju

Since Edwin Halls groundbreaking discovery of the Hall effect in 1879, magnetism, spin, and quantization have been expanding the scope of Hall effects, continuously driving transformative progress in science and technology. Among them, the…

Up to almost the last two decades all the experimental results concerning the quantum Hall effect (QHE), i.e., the observation of plateaux at integer (IQHE) or fractional (FQHE) values of the constant h/e2, were related to quantum-wells in…

Mesoscale and Nanoscale Physics · Physics 2020-05-26 M. A. Hidalgo

It is well-known that a non-vanishing Hall conductivity requires time-reversal symmetry breaking. However, in this work, we demonstrate that a Hall-like transverse current can occur in second-order response to an external electric field in…

Mesoscale and Nanoscale Physics · Physics 2015-12-22 Inti Sodemann , Liang Fu

The edge of a two-dimensional electron system (2DES) in a magnetic field consists of one-dimensional (1D) edge-channels that arise from the confining electric field at the edge of the specimen$^{1-3}$. The crossed electric and magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 W. Kang , H. L. Stormer , K. W. Baldwin , L. N. Pfeiffer , K. W. West

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

The Integer Quantum Hall Effect (IQHE) is a distinctive phase of two-dimensional electronic systems subjected to a perpendicular magnetic field. Thus far, the IQHE has been observed in semiconductor heterostructures and in mono- and…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 A. Kumar , W. Escoffier , J. M. Poumirol , C. Faugeras , D. P. Arovas , M. M. Fogler , F. Guinea , S. Roche , M. Goiran , B. Raquet

The second-order nonlinear Hall effect illuminates a frequency-doubling transverse current emerging in quantum materials with broken inversion symmetry even when time-reversal symmetry is preserved. This nonlinear response originates from…

Mesoscale and Nanoscale Physics · Physics 2023-01-31 Jinrui Zhong , Junxi Duan , Shihao Zhang , Huimin Peng , Qi Feng , Yuqin Hu , Qinsheng Wang , Jinhai Mao , Jianpeng Liu , Yugui Yao

Recently, a type of Hall effect due to an unusual layer-locked Berry curvature called the layer Hall effect (LHE) has been reported in the even-layered two-dimensional antiferromagnetic (AFM) MnBi2Te4 [A. Gao et.al, Nature 595, 521 (2021)].…

Mesoscale and Nanoscale Physics · Physics 2023-01-04 Wen-Bo Dai , Hailong Li , Dong-Hui Xu , Chui-Zhen Chen , X. C. Xie

In this article we review the quantum Hall physics of graphene based two-dimensional electron systems, with a special focus on recent experimental and theoretical developments. We explain why graphene and bilayer graphene can be viewed…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Yafis Barlas , Kun Yang , A. H. MacDonald

Using a new MBE growth technique, we fabricate a two-dimensional electron system which is bent around an atomically sharp 90 degree corner. In the quantum Hall regime under tilted magnetic fields, we can measure equilibration between both…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Grayson , D. Schuh , M. Bichler , G. Abstreiter , L. Hoeppel , J. Smet , K. von Klitzing

We investigate the possibility of observing the anomalous Hall effect (AHE) in two dimensional paramagnetic systems. We apply the semiclassical equations of motion to carriers in the conduction and valence bands of wurtzite and zincblende…

Condensed Matter · Physics 2009-11-10 Dimitrie Culcer , Allan MacDonald , Qian Niu

We show that for the case of a many valley host semiconductor an edge channel (EC) related non-local behaviour can persist also in the 3D-regime where the quantum Hall effect (QHE) is already quenched. We demonstrate that the QHE is…

Materials Science · Physics 2008-02-03 J. Oswald , G. Heigl , G. Span , A. Homer , P. Ganitzer , D. K. Maude , J. C. Portal

We investigate the emerging consequences of an applied strong in-plane electric field on a macroscopically large graphene sheet subjected to a perpendicular magnetic field, by determining in exact analytical form various many-body…

General Physics · Physics 2018-02-07 Georgios Konstantinou , Konstantinos Moulopoulos

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 present a systematical experimental investigation of an unusual transport phenomenon observed in two dimensional electron gases in Si/SiGe heterostructures under integer quantum Hall effect (IQHE) conditions. This phenomenon emerges…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 J. Sailer , A. Wild , V. Lang , A. Siddiki , D. Bougeard

Since the first experimental observation of the phonon Hall effect (PHE) in 2005, its physical origin and theoretical explanation have been extensively investigated. While spin-orbit interactions are believed to play important roles under…

Materials Science · Physics 2020-10-28 Kangtai Sun , Zhibin Gao , Jian-Sheng Wang

Extraordinary Hall effect (EHE) is a spin-dependent phenomenon that generates voltage proportional to magnetization across a current carrying magnetic film. Magnitude of the effect can be artificially increased by stimulating properly…

Strongly Correlated Electrons · Physics 2008-03-04 A. Gerber , O. Riss

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