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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

Graphene enables precise carrier-density control via gating, making it an ideal platform for studying electronic interactions. However, sample inhomogeneities often limit access to the low-density regimes where these interactions dominate.…

We discuss our new implementation of the Real-space Electronic Structure method for studying the atomic and electronic structure of infinite periodic as well as finite systems, based on density functional theory. This improved version which…

Materials Science · Physics 2009-10-31 U. V. Waghmare , Hanchul Kim , I. J. Park , Normand Modine , P. Maragakis , Efthimios Kaxiras

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…

In graphene, which is an atomic layer of crystalline carbon, two of the distinguishing properties of the material are the charge carriers two-dimensional and relativistic character. The first experimental evidence of the two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2011-04-18 Xu Du , Ivan Skachko , Fabian Duerr , Adina Luican , Eva Y. Andrei

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

We theoretically investigate the manipulation of the quantum anomalous Hall effect (QAHE) in graphene by means of the uniaxial strain. The values of Chern number and Hall conductance demonstrate that the strained graphene in presence of…

Mesoscale and Nanoscale Physics · Physics 2014-01-07 G. S. Diniz , M. R. Guassi , F. Qu

Quantum anomalous Hall (QAH) insulators with high Chern number (C) enables multiple dissipationless edge channels for low-power-consumption electronics. We report the realization of multiple high-C QAH insulators including C=3,5,6, and 7 in…

We have studied the breakdown of the integer quantum Hall (QH) effect with fully broken symmetry, in an ultra-high mobility graphene device sandwiched between two single crystal hexagonal boron nitride substrates. The evolution and…

Mesoscale and Nanoscale Physics · Physics 2016-11-22 Shibing Tian , Pengjie Wang , Xin Liu , Junbo Zhu , Hailong Fu , Takashi Taniguch , Kenji Watanabe , Jian-Hao Chen , Xi Lin

The recent experimental observation of quantum anomalous Hall (QAH) effects in the rhombohedrally stacked pentalayer graphene has motivated theoretical discussions on the possibility of quantum anomalous Hall crystal (QAHC), a topological…

Strongly Correlated Electrons · Physics 2025-06-10 Boran Zhou , Ya-Hui Zhang

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 Syst\`eme Internationale d'unit\'es (SI system) is about to undergo its biggest change in half a century by redefining the units for mass and current in terms of the fundamental constants h and e, respectively. This change crucially…

Mesoscale and Nanoscale Physics · Physics 2012-01-09 T. J. B. M. Janssen , N. E. Fletcher , R. Goebel , J. M. Williams , A. Tzalenchuk , R. Yakimova , S. Kubatkin , S. Lara-Avila , V. I. Falko

Quantum anomalous Hall (QAH) insulators are characterized by vanishing longitudinal resistance and quantized Hall resistance in the absence of an external magnetic field. Among them, high-Chern-number QAH insulators offer multiple…

Mesoscale and Nanoscale Physics · Physics 2025-06-10 Jiaheng Li , Quansheng Wu , Hongming Weng

The history of quantum Hall standards stretches several decades and mostly begins with the use of GaAs given that 2D electron systems exhibit interesting quantum phenomena. At the end 2000s, research in 2D materials like graphene became…

Mesoscale and Nanoscale Physics · Physics 2022-02-15 Albert F. Rigosi

The fractional quantum anomalous Hall effect (FQAHE), the analog of the fractional quantum Hall effect1 at zero magnetic field, is predicted to exist in topological flat bands under spontaneous time-reversal-symmetry breaking. The…

Mesoscale and Nanoscale Physics · Physics 2023-12-29 Zhengguang Lu , Tonghang Han , Yuxuan Yao , Aidan P. Reddy , Jixiang Yang , Junseok Seo , Kenji Watanabe , Takashi Taniguchi , Liang Fu , Long Ju

We numerically study the interplay of band structure, topological invariant and disorder effect in two-dimensional electron system of graphene in a magnetic field. Two \emph{distinct} quantum Hall effect (QHE) regimes exist in the energy…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. N. Sheng , L. Sheng , Z. Y. Weng

Graphene has a multitude of striking properties that make it an exceedingly attractive material for various applications, many of which will emerge over the next decade. However, one of the most promising applications lie in exploiting its…

The reason why the half-integer quantum Hall effect (QHE) is suppressed in graphene grown by chemical vapor deposition (CVD) is unclear. We propose that it might be connected to extended defects in the material and present results for the…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Anders Bergvall , Johan M. Carlsson , Tomas Lofwander

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

We report experimental observation of the reentrant integer quantum Hall effect in graphene, appearing in the N$=$2 Landau level. Similar to high-mobility GaAs/AlGaAs heterostructures, the effect is due to a competition between…

Mesoscale and Nanoscale Physics · Physics 2019-01-23 Shaowen Chen , Rebeca Ribeiro-Palau , Kang Yang , Kenji Watanabe , Takashi Taniguchi , James Hone , Mark O. Goerbig , Cory R. Dean