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We study the quantum Hall effect (QHE) in graphene based on the current injection model. In our model, the presence of disorder, the edge-state picture, extended states and localized states, which are believed to be indispensable…

Mesoscale and Nanoscale Physics · Physics 2010-02-26 Tobias Kramer , Christoph Kreisbeck , Viktor Krueckl , Eric J Heller , Robert E Parrott , Chi-Te Liang

Due to its fourfold spin-valley degeneracy, graphene in a strong magnetic field may be viewed as a four-component quantum Hall system. We investigate the consequences of this particular structure on a possible, yet unobserved, fractional…

Mesoscale and Nanoscale Physics · Physics 2009-06-08 Z. Papić , M. O. Goerbig , N. Regnault

The edge states in the quantum spin Hall effect are expected to be protected by time reversal symmetry. The experimental observation of the quantized conductance was reported in the InAs/GaSb quantum well {[}Du et al, arXiv:1306.1925{]}, up…

Strongly Correlated Electrons · Physics 2014-10-21 Song-Bo Zhang , Yan-Yang Zhang , Shun-Qing Shen

We investigate quantum transport in graphene/InSe heterostructures and find major asymmetries in the longitudinal resistance ($R_{xx}$) and vanishing $R_{xx}$ peaks at high magnetic fields, particularly at the charge-neutrality point. Our…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Wenxue He , Shijin Li , Jinhao Cheng , Yingpeng Zhang , Kaixuan Fan , Jiabo Liu , Shuaishuai Ding , Wenping Hu , Fan Yang , Chen Wang , Qing-Feng Sun , Hechen Ren

We consider an effective model for graphene with interface-induced spin-orbit coupling and calculate the quantum Hall effect in the low-energy limit. We perform a systematic analysis of the contribution of the different terms of the…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Tarik P. Cysne , Jose H. Garcia , Alexandre R. Rocha , Tatiana G. Rappoport

We report magnetotransport measurements on a single-layer graphene in pulsed magnetic fields up to $B$ = 53 T. With either electron- or hole-type charge carriers, the Hall resistance $R_{H}$ is quantized into $R_{H}$ = $(h/e^2)\nu ^{-1}$…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Satoru Masubuchi , Ken-ichi Suga , Masashi Ono , Koichi Kindo , Shojiro Takeyama , Tomoki Machida

We investigate the quantum Hall effect in graphene. We argue that in graphene in presence of an external magnetic field there is dynamical generation of mass by a rearrangement of the Dirac sea. We show that the mechanism breaks the lattice…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Paolo Cea

There has been tremendous recent progress in realizing topological insulator initiated by the proposal of Kane and Mele for the graphene system. They have suggested that the odd $Z_2$ index for the graphene manifests the spin filtered edge…

Strongly Correlated Electrons · Physics 2015-05-28 Jun-Won Rhim , Kyungsun Moon

We propose a multiterminal nanostructure for electrical probing of the quantum spin Hall effect (QSHE) in two-dimensional (2D) topological insulators. The device consists of a ferromagnetic (FM) island with precessing magnetization that…

Mesoscale and Nanoscale Physics · Physics 2010-01-28 Son-Hsien Chen , Branislav K. Nikolic , Ching-Ray Chang

We report on the stability of the quantum Hall plateau in wide Hall bars made from a chemically gated graphene film grown on SiC. The $\nu=2$ quantized plateau appears from fields $B \simeq 5$ T and persists up to $B \simeq 80$ T. At high…

Mesoscale and Nanoscale Physics · Physics 2019-03-26 M. Yang , O. Couturaud , W. Desrat , C. Consejo , D. Kazazis , R. Yakimova , M. Syväjärvi , M. Goiran , J. Béard , P. Frings , M. Pierre , A. Cresti , W. Escoffier , B. Jouault

We discuss the quantum Hall effect on a single-layer graphene in the framework of noncommutative (NC) phase space. We find it induces a shift in the Hall resistivity. Furthermore, comparison with experimental data reveals an upper bound on…

High Energy Physics - Theory · Physics 2018-01-11 Willien O. Santos , Guilherme M. A. Almeida , Andre M. C. Souza

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

The quantum Hall effect is widely used for the investigation of fundamental phenomena, ranging from topological phases to composite fermions. In particular, the discovery of a room temperature resistance quantum in graphene is significant…

In a graphene Landau level (LL), strong Coulomb interactions and the fourfold spin/valley degeneracy lead to an approximate SU(4) isospin symmetry. At partial filling, exchange interactions can spontaneously break this symmetry, manifesting…

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 study the competition between the long-range Coulomb interaction, disorder scattering, and lattice effects in the integer quantum Hall effect (IQHE) in graphene. By direct transport calculations, both $\nu=1$ and $\nu=3$ IQHE states are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 L. Sheng , D. N. Sheng , F. D. M. Haldane , Leon Balents

The quantum anomalous Hall effect (QAHE) hosts the dissipationless chiral edge states associated with the nonzero Chern number, providing potentially significant applications in future spintronics. The QAHE usually occurs in a…

Strongly Correlated Electrons · Physics 2018-08-08 Y. J. Jin , R. Wang , B. W. Xia , B. B. Zheng , H. Xu

We have a comparative study of the quantum spin Hall (QSH) effects induced by non-magnetic and magnetic staggered potentials respectively and show that they have the same effect in driving the topological phase transition. The result…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Huaiming Guo , Shiping Feng , Shun-Qing Shen

Graphene is the first model system of two-dimensional topological insulator (TI), also known as quantum spin Hall (QSH) insulator. The QSH effect in graphene, however, has eluded direct experimental detection because of its extremely small…

Mesoscale and Nanoscale Physics · Physics 2019-04-12 Liangzhi Kou , Feiming Hu , Binghai Yan , Tim Wehling , Claudia Felser , Thomas Frauenheim , Changfeng Chen

The spin Hall effect (SHE), which converts a charge current into a transverse spin current, has long been believed to be a phenomenon induced by the spin--orbit coupling. Here, we propose an alternative mechanism to realize the intrinsic…

Materials Science · Physics 2021-06-22 Yang Zhang , Jakub Zelezny , Yan Sun , Jeroen van den Brink , Binghai Yan