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In this work we show that the trigonal warping of the electronic bands in bilayer graphene dramatically modifies the behavior of the one-dimensional modes topologically confined due to an inhomogeneous bias that changes sign across a…

Mesoscale and Nanoscale Physics · Physics 2011-07-19 A. S. Núñez , E. Suárez Morell , P. Vargas

Graphene bilayer systems are known to exhibit a band gap when the layer symmetry is broken, by applying a perpendicular electric field. The resulting band structure resembles that of a conventional semiconductor with a parabolic dispersion.…

Mesoscale and Nanoscale Physics · Physics 2015-07-03 Søren Schou Gregersen , Jesper Goor Pedersen , Stephen R. Power , Antti-Pekka Jauho

We report on transport measurements of dual-gated, single-layer graphene devices in the quantum Hall regime, allowing for independent control of the filling factors in adjoining regions. Progress in device quality allows us to study…

Mesoscale and Nanoscale Physics · Physics 2014-05-15 F. Amet , J. R. Wiliams , K. Watanabe , T. Taniguchi , D. Goldhaber-Gordon

Graphene properties can be manipulated by a periodic potential. Based on the tight-binding model, we study graphene under a one-dimensional (1D) modulated magnetic field which contains both a uniform and a staggered component. New chiral…

Strongly Correlated Electrons · Physics 2011-01-18 Lei Xu , Jin An , Chang-De Gong

A stochastic nonlinear electrical characteristic of graphene is reported. Abrupt current changes are observed from voltage sweeps between the source and drain with an on/off ratio up to 10^(3). It is found that graphene channel experience…

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

Trilayer graphene allows systematic control of its electronic structure through stacking sequence and twist geometry, providing a versatile platform for correlated states. Here we report magnetotransport in alternating twisted trilayer…

Mesoscale and Nanoscale Physics · Physics 2026-02-05 Dohun Kim , Gyeoul Lee , Nicolas Leconte , Seyoung Jin , Takashi Taniguchi , Kenji Watanabe , Jeil Jung , Gil Young Cho , Youngwook Kim

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…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Kirill I. Bolotin , Fereshte Ghahari , Michael D. Shulman , Horst L. Stormer , Philip Kim

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

A quantum Hall edge state provides a rich foundation to study electrons in 1-dimension (1d) but is limited to chiral propagation along a single direction. Here, we demonstrate a versatile platform to realize new 1d systems made by combining…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 J. D. Sanchez-Yamagishi , J. Y. Luo , A. F. Young , B. Hunt , K. Watanabe , T. Taniguchi , R. C. Ashoori , P. Jarillo-Herrero

We present an approach to the fractional quantum Hall effect observed in grapheme (GFQHE), basing us on the model developed previously for the fractional quantum Hall effect in a two-dimensional electron system embedded in a quantum well…

Mesoscale and Nanoscale Physics · Physics 2015-07-20 M. A. Hidalgo

We have performed first-principles calculations of graphene edge stresses, which display two interesting quantum manifestations absent from the classical interpretation: the armchair edge stress oscillates with a nanoribbon width, and the…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Bing Huang , Miao Liu , Ninghai Su , Jian Wu , Wenhui Duan , Bing-lin Gu , Feng Liu

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

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

Two dimensional electron systems exhibiting the fractional quantum Hall effects are characterized by a quantized Hall conductance and a dissipationless bulk. The transport in these systems occurs only at the edges where gapless excitations…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yogesh N. Joglekar , Hoang K. Nguyen , Ganpathy Murthy

The conductance of graphene subject to a strong, tilted magnetic field exhibits a dramatic change from insulating to conducting behavior with tilt-angle, regarded as evidence for the transition from a canted antiferromagnetic (CAF) to a…

Strongly Correlated Electrons · Physics 2016-03-30 Pavel Tikhonov , Efrat Shimshoni , H. A. Fertig , Ganpathy Murthy

Superconductivity and the quantum Hall effect are conventionally regarded as mutually exclusive: superconductivity is suppressed by magnetic fields, whereas the quantum Hall effect relies on them. Here we report a striking exception, where…

Introducing topologically protected skyrmions in graphene holds significant importance for developing high-speed, low-energy spintronic devices. Here, we present a centrosymmetric ferromagnetic graphene/trilayer Cr2Ge2Te6/graphene…

Electrical currents in a quantum spin Hall insulator are confined to the boundary of the system. The charge carriers can be described as massless relativistic particles, whose spin and momentum are coupled to each other. While the helical…

The edge states in the integer quantum Hall effect are known to be significantly affected by electrostatic interactions leading to the formation of compressible and incompressible strips at the boundaries of Hall bars. We show here, in a…

Mesoscale and Nanoscale Physics · Physics 2012-11-20 H. Hettmansperger , F. Duerr , J. B. Oostinga , C. Gould , B. Trauzettel , L. W. Molenkamp