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Bernal bilayer graphene hosts even denominator fractional quantum Hall states thought to be described by a Pfaffian wave function with nonabelian quasiparticle excitations. Here we report the quantitative determination of fractional quantum…

The low energy neutral excitations of incompressible fractional quantum Hall states are called collective modes or magnetic excitons. This work develops techniques for computing their dispersion at general filling fractions for reasonably…

Condensed Matter · Physics 2009-10-28 R. K. Kamilla , X. G. Wu , J. K. Jain

We report the observation of the quantized Hall effect in suspended graphene probed with a two-terminal lead geometry. The failure of earlier Hall-bar measurements is discussed and attributed to the placement of voltage probes in mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2011-08-22 I. Skachko , X. Du , F. Duerr , A. Luican , D. A. Abanin , L. S. Levitov , E. Y. Andrei

The fractional quantum Hall effect (FQHE), particularly at half-filling of Landau levels, provides a unique window into topological phases hosting non-Abelian excitations. However, experimental platforms simultaneously offering large energy…

Chemical vapor deposition (CVD) on Cu foil is one of the most promising methods to produce graphene samples despite of introducing numerous grain boundaries into the perfect graphene lattice. A rich variety of GB structures can be realized…

Mesoscale and Nanoscale Physics · Physics 2013-10-28 Péter Vancsó , Géza I. Márk , Philippe Lambin , Alexandre Mayer , Chanyong Hwang , László P. Biró

Interactions of magnetic elements with graphene may lead to various electronic states that have potential applications. We report an in-situ experiment in which the quantum transport properties of graphene are measured with increasing…

Mesoscale and Nanoscale Physics · Physics 2018-08-21 Chaoyi Cai , Jian-Hao Chen

The fractional quantum Hall states are non-Fermi liquids of electrons, in that their ground states and low energy excitations are described not in terms of electrons but in terms of composite fermions which are bound states of electrons and…

Strongly Correlated Electrons · Physics 2024-06-24 Mytraya Gattu , G. J. Sreejith , J. K. Jain

Extensive fractional quantum Hall effect (FQHE) has been observed in graphene-based materials. Some of the observed fractions are anomalous in that FQHE has not been established at these fractions in conventional GaAs systems. One such…

Strongly Correlated Electrons · Physics 2022-06-09 Rakesh K. Dora , Ajit C. Balram

The nature of fractional quantum Hall (FQH) states is determined by the interplay between the Coulomb interaction and the symmetries of the system. The unique combination of spin, valley, and orbital degeneracies in bilayer graphene is…

Mesoscale and Nanoscale Physics · Physics 2014-07-22 Angela Kou , Benjamin E. Feldman , Andrei J. Levin , Bertrand I. Halperin , Kenji Watanabe , Takashi Taniguchi , Amir Yacoby

We determine conditions for the formation of compressible stripes near the quantum Hall effect (QHE) edges of top-gated epitaxial graphene on Si-terminated SiC (G/SiC) and compare those to graphene exfoliated onto insulating substrate in…

Mesoscale and Nanoscale Physics · Physics 2018-02-09 Sergey Slizovskiy , Vladimir I. Fal'ko

By limiting the carbon segregation at the copper surface defects, a pulsed chemical vapor deposition method for single layer graphene growth is shown to inhibit the formation of few-layer regions, leading to a fully single-layered graphene…

We have studied the fractional quantum Hall states on the surface of a topological insulator thin film in an external magnetic field, where the Dirac fermion nature of the charge carriers have been experimentally established only recently.…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Vadim M. Apalkov , Tapash Chakraborty

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

We study temperature effect on anomalous viscosity of Graphene Hall fluid within quantum many-vortex hydrodynamics. The commonly observed filling fractions, $\nu$ in the range $0 < \nu < 2$ is considered. An expression for anomalous…

Mesoscale and Nanoscale Physics · Physics 2015-10-05 Rabiu Musah , Samuel Y. Mensah , Ibrahim Y. Seini , Suleimana S. Abukari

We report an observation of conductance fuctuations (CFs) in the bipolar regime of quantum hall (QH) plateaus in graphene (p-n-p/n-p-n) devices. The CFs in the bipolar regime are shown to decrease with increasing bias and temperature. At…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Chandan Kumar , Manabendra Kuiri , Anindya Das

Since its discovery in 2004, graphene, a two-dimensional hexagonal carbon allotrope, has generated great interest and spurred research activity from materials science to particle physics and vice versa. In particular, graphene has been…

High Energy Physics - Lattice · Physics 2010-11-03 Joaquín E. Drut , Timo A. Lähde , Eero Tölö

We model the quantum Hall effect in heterostructures made of two gapped graphene stripes with different gaps, $\Delta_1$ and $\Delta_2$. We consider two main situations, $\Delta_1=0,\Delta_2\neq0$ and $\Delta_1=-\Delta_2$. They are…

Mesoscale and Nanoscale Physics · Physics 2013-08-01 J. L. Lado , J. W. González , J. Fernández-Rossier

When an electron is confined to a triangular atomic thick layer of graphene [1-5] with zig-zag edges, its energy spectrum collapses to a shell of degenerate states at the Fermi level (Dirac point) [6-9]. The degeneracy is proportional to…

Materials Science · Physics 2013-05-29 A. D. Guclu , P. Potasz , O. Voznyy , M. Korkusinski , P. Hawrylak

We report the observation of the fractional quantum Hall effect in the lowest Landau level of a two-dimensional electron system (2DES), residing in the diluted magnetic semiconductor Cd(1-x)Mn(x)Te. The presence of magnetic impurities…

Strongly Correlated Electrons · Physics 2015-06-22 C. Betthausen , P. Giudici , A. Iankilevitch , C. Preis , V. Kolkovsky , M. Wiater , G. Karczewski , B. A. Piot , J. Kunc , M. Potemski , T. Wojtowicz , D. Weiss

We study graphene nanoribbon (GNR) interconnects obtained from graphene grown by chemical vapor deposition (CVD). We report low- and high-field electrical measurements over a wide temperature range, from 1.7 to 900 K. Room temperature…

Mesoscale and Nanoscale Physics · Physics 2013-02-22 Ashkan Behnam , Austin S. Lyons , Myung-Ho Bae , Edmond K. Chow , Sharnali Islam , Christopher M. Neumann , Eric Pop