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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…

介观与纳米尺度物理 · 物理学 2011-04-18 Xu Du , Ivan Skachko , Fabian Duerr , Adina Luican , Eva Y. Andrei

Quantum Hall effect (QHE), the ground to construct modern conceptual electronic systems with emerging physics, is often much influenced by the interplay between the host two-dimensional electron gases and the substrate, sometimes predicted…

We apply Laughlin's gauge argument to analyze the $\nu=0$ quantum Hall effect observed in graphene when the Fermi energy lies near the Dirac point, and conclude that this necessarily leads to divergent bulk longitudinal resistivity in the…

介观与纳米尺度物理 · 物理学 2009-08-09 S. Das Sarma , Kun Yang

When electrons are confined in two dimensions and subjected to strong magnetic fields, the Coulomb interactions between them become dominant and can lead to novel states of matter such as fractional quantum Hall liquids. In these liquids…

介观与纳米尺度物理 · 物理学 2015-05-14 Kirill I. Bolotin , Fereshte Ghahari , Michael D. Shulman , Horst L. Stormer , Philip Kim

This short theoretical review deals with some essential ingredients for the understanding of the quantum Hall effect in graphene in comparison with the effect in conventional two-dimensional electron systems with a parabolic band…

介观与纳米尺度物理 · 物理学 2012-02-03 M. O. Goerbig

Unlike regular electron spin, the pseudospin degeneracy of Fermi points in graphene does not couple directly to magnetic field. Therefore, graphene provides a natural vehicle to observe the integral and fractional quantum Hall physics in an…

强关联电子 · 物理学 2009-11-11 Csaba Toke , Paul E. Lammert , Jainendra K. Jain , Vincent H. Crespi

We have observed the well-kown quantum Hall effect (QHE) in epitaxial graphene grown on silicon carbide (SiC) by using, for the first time, only commercial NdFeB permanent magnets at low temperature. The relatively large and homogeneous…

介观与纳米尺度物理 · 物理学 2017-08-22 F. D. Parmentier , T. Cazimajou , Y. Sekine , H. Hibino , H. Irie , D. C. Glattli , N. Kumada , P. Roulleau

While the quantum Hall effect in graphene has been regarded as a realization of the anomaly associated with the massless Dirac particle carrying half the usual topological integer, this is hidden due to the doubling of the Dirac cones. In…

介观与纳米尺度物理 · 物理学 2014-08-01 Haruki Watanabe , Yasuhiro Hatsugai , Hideo Aoki

Graphene is a two-dimensional carbon material with a honeycomb lattice and Dirac-like low-energy excitations. When Zeeman and spin-orbit interactions are neglected its Landau levels are four-fold degenerate, explaining the $4 e^2/h$…

介观与纳米尺度物理 · 物理学 2008-06-30 Kentaro Nomura , A. H. MacDonald

The two-dimensional quantum anomalous Hall (QAH) effect is direct evidence of non-trivial Berry curvature topology in condensed matter physics. Searching for QAH in 2D materials, particularly with simplified fabrication methods, poses a…

介观与纳米尺度物理 · 物理学 2024-04-22 Yueh-Ting Yao , Suyang Xu , Tay-Rong Chang

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…

介观与纳米尺度物理 · 物理学 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

We theoretically study the quantum Hall effect (QHE) in graphene with an ac electric field. Based on the tight-binding model, the structure of the half-integer Hall plateaus at $\sigma_{xy} = \pm(n + 1/2)4e^2/h$ ($n$ is an integer) gets…

介观与纳米尺度物理 · 物理学 2018-01-17 Kai-He Ding , Lih-King Lim , Gang Su , Zheng-Yu Weng

The quantum anomalous Hall effect (QAHE) is a topological state of matter with a quantized Hall resistance. It has been observed in some two-dimensional insulating materials such as magnetic topological insulator films and twisted bilayer…

介观与纳米尺度物理 · 物理学 2024-02-06 Kai-Zhi Bai , Bo Fu , Zhenyu Zhang , Shun-Qing Shen

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.…

介观与纳米尺度物理 · 物理学 2021-06-09 Youngwook Kim , Pilkyung Moon , Kenji Watanabe , Takashi Taniguchi , Jurgen H. Smet

We present a unified description of the quantum Hall effect in graphene on the basis of the 8-component Dirac Hamiltonian and the supersymmetric (SUSY) quantum mechanics. It is remarkable that the zero-energy state emerges because the…

介观与纳米尺度物理 · 物理学 2010-11-11 Motohiko Ezawa

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…

介观与纳米尺度物理 · 物理学 2009-11-11 Yuanbo Zhang , Yan-Wen Tan , Horst L. Stormer , Philip Kim

A possible realization of Hall conductivity, quantized at odd integer factors of $e^2/h$ for graphene's honeycomb lattice is proposed. I argue that, in the presence of \emph{uniform} real and pseudo-magnetic fields, the valley degeneracy…

介观与纳米尺度物理 · 物理学 2011-08-16 Bitan Roy

We present Hall effect measurements on highly oriented pyrolytic graphite that indicate the occurrence of the integer quantum-Hall-effect. The evidence is given by the observation of regular plateau-like structures in the field dependence…

介观与纳米尺度物理 · 物理学 2009-11-11 H. Kempa , P. Esquinazi , Y. Kopelevich

We show that, when graphene is subjected to an appropriate one-dimensional external periodic potential, additional branches of massless fermions are generated with nearly the same electron-hole crossing energy as that at the original Dirac…

介观与纳米尺度物理 · 物理学 2009-07-24 Cheol-Hwan Park , Young-Woo Son , Li Yang , Marvin L. Cohen , Steven G. Louie

The quantum Hall effect is observed in a two-dimensional electron gas formed in millimeter-scale hydrogenated graphene, with a mobility less than 10 $\mathrm{cm^{2}/V\cdot s}$ and corresponding Ioffe-Regel disorder parameter…