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Quantum geometry of electronic wavefunctions results in fascinating topological phenomena. A prominent example is the intrinsic anomalous Hall effect (AHE) in which a Hall voltage arises in the absence of an applied magnetic field. The AHE…

We explore the non-equilibrium transport regime in graphene using a large dc current in combination with a perpendicular magnetic field. The strong in-plane Hall field that is generated in the bulk of the graphene channel results in Landau…

Mesoscale and Nanoscale Physics · Physics 2025-03-11 Mrityunjay Pandey , Kenji Watanabe , Takashi Taniguchi , Srinivasan Raghavan , U. Chandni

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…

Mesoscale and Nanoscale Physics · Physics 2017-08-22 F. D. Parmentier , T. Cazimajou , Y. Sekine , H. Hibino , H. Irie , D. C. Glattli , N. Kumada , P. Roulleau

Among many remarkable qualities of graphene, its electronic properties attract particular interest due to a massless chiral character of charge carriers, which leads to such unusual phenomena as metallic conductivity in the limit of no…

Mesoscale and Nanoscale Physics · Physics 2011-04-07 F. Guinea , M. I. Katsnelson , A. K. Geim

Strong magnetic fields profoundly affect the quantum physics of charged particles, as seen for example by the integer and fractionally quantized Hall effects, and the fractal `Hofstadter butterfly' spectrum of electrons in the presence of a…

Mesoscale and Nanoscale Physics · Physics 2023-12-19 Jie Wang , Jiawei Zang , Jennifer Cano , Andrew J. Millis

We theoretically demonstrate that a system formed by two coupled graphene sheets enables a negative damping regime wherein graphene plasmons are pumped by a DC current. This effect is triggered by electrons drifting through one of the…

Mesoscale and Nanoscale Physics · Physics 2017-10-04 Tiago A. Morgado , Mário G. Silveirinha

We report observation of the fractional quantum Hall effect (FQHE) in high mobility multi-terminal graphene devices, fabricated on a single crystal boron nitride substrate. We observe an unexpected hierarchy in the emergent FQHE states that…

Mesoscale and Nanoscale Physics · Physics 2011-06-17 C. R. Dean , A. F. Young , P. Cadden-Zimansky , L. Wang , H. Ren , K. Watanabe , T. Taniguchi , P. Kim , J. Hone , K. L. Shepard

Double layer graphene is a gapless semiconductor which develops a finite gap when the layers are placed at different electrostatic potentials. We study, within the tight-biding approximation, the electronic properties of the gaped graphene…

Mesoscale and Nanoscale Physics · Physics 2007-11-26 Eduardo V. Castro , N. M. R. Peres , J. M. B. Lopes dos Santos

Motivated by a recent experiment (Sanchez-Yamagishi et.al, arXiv:1602.06815) reporting evidence of helical spin-polarized edge states in layer-biased twisted bilayer graphene under a magnetic flux, we study the possibility of stabilising a…

Mesoscale and Nanoscale Physics · Physics 2017-07-13 F. Finocchiaro , F. Guinea , P. San-Jose

Gapped graphene has been proposed to be a good platform to observe the valley Hall effect, a transport phenomenon involving the flow of electrons that are characterized by different valley indices. In the present work, we show that this…

Mesoscale and Nanoscale Physics · Physics 2021-05-19 Sayantika Bhowal , Giovanni Vignale

The effect of an inhomogeneous magnetic field which varies inversely as distance on the ground state energy level of graphene is studied. In this work, we analytically show that graphene under the influence of a magnetic field arising from…

Strongly Correlated Electrons · Physics 2011-07-05 M. R. Setare , D. Jahani

We study the effects of spin orbit interactions on the low energy electronic structure of a single plane of graphene. We find that in an experimentally accessible low temperature regime the symmetry allowed spin orbit potential converts…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. L. Kane , E. J. Mele

Response of electronic systems in intense lights (AC electric fields) to DC source-drain fields is formulated with the Floquet method. We have then applied the formalism to graphene, for which we show that a non-linear effect of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Takashi Oka , Hideo Aoki

We investigate an effective model of proximity modified graphene (or symmetrylike materials) with broken time-reversal symmetry. We predict the appearance of quantum anomalous Hall phases by computing bulk band gap and Chern numbers for…

Mesoscale and Nanoscale Physics · Physics 2020-04-07 Petra Högl , Tobias Frank , Klaus Zollner , Denis Kochan , Martin Gmitra , Jaroslav Fabian

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.…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 Youngwook Kim , Pilkyung Moon , Kenji Watanabe , Takashi Taniguchi , Jurgen H. Smet

Berry curvature is analogous to magnetic field but in momentum space and is commonly present in materials with non-trivial quantum geometry. It endows Bloch electrons with transverse anomalous velocities to produce Hall-like currents even…

Bilayer graphene with an interlayer potential difference has an energy gap and, when the potential difference varies spatially, topologically protected one-dimensional states localized along the difference's zero-lines. When disorder is…

Mesoscale and Nanoscale Physics · Physics 2011-08-11 Zhenhua Qiao , Jeil Jung , Qian Niu , Allan H. MacDonald

In two-dimensional (2D) electron systems under strong magnetic fields, interactions can cause fractional quantum Hall (FQH) effects. Bringing two 2D conductors to proximity, a new set of correlated states can emerge due to interactions…

Mesoscale and Nanoscale Physics · Physics 2020-07-17 Xiaomeng Liu , Zeyu Hao , Kenji Watanabe , Takashi Taniguchi , Bertrand Halperin , Philip Kim

We review the basic aspects of electrons in graphene (two-dimensional graphite) exposed to a strong perpendicular magnetic field. One of its most salient features is the relativistic quantum Hall effect the observation of which has been the…

Mesoscale and Nanoscale Physics · Physics 2011-11-24 M. O. Goerbig

The recently discovered nonlinear Hall (NLH) effect arises either without external magnetic field (type-I) or with an in-plane magnetic field (type-II). In this work we propose a new type of geometrical nonlinear Hall effect with an…

Materials Science · Physics 2024-09-16 Junjie Yao , Yizhou Liu , Wenhui Duan
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