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It is now well-established that photonic systems can exhibit topological energy bands; similar to their electronic counterparts, this leads to the formation of chiral edge modes which can be used to transmit light in a manner that is…

Mesoscale and Nanoscale Physics · Physics 2016-11-09 Vittorio Peano , Martin Houde , Florian Marquardt , Aashish A. Clerk

The remarkable electronic properties of graphene have fueled the vision of a graphene-based platform for lighter, faster and smarter electronics and computing applications. One of the challenges is to devise ways to tailor its electronic…

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…

Mesoscale and Nanoscale Physics · Physics 2011-04-18 Xu Du , Ivan Skachko , Fabian Duerr , Adina Luican , Eva Y. Andrei

We suggest a way of confining quasiparticles by an external potential in a small region of a graphene strip. Transversal electron motion plays a crucial role in this confinement. Properties of thus obtained graphene quantum dots are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. G. Silvestrov , K. B. Efetov

The interplay between quantum Hall states and Cooper pairs is usually hindered by the suppression of the superconducting state due to the strong magnetic fields needed to observe the quantum Hall effect. From this point of view graphene is…

Superconductivity · Physics 2015-06-03 Lucian Covaci , Francois Peeters

We have investigated the magnetotransport properties of a single-layer graphene Hall bar with additional graphene side gates. The side gating in the absence of a magnetic field can be modeled by considering two parallel conducting channels…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. Molitor , J. Güttinger , C. Stampfer , D. Graf , T. Ihn , K. Ensslin

The quantum Hall effect (QHE) originates from discrete Landau levels forming in a two-dimensional (2D) electron system in a magnetic field. In three dimensions (3D), the QHE is forbidden because the third dimension spreads Landau levels…

Recent interest in optical analogues to the quantum spin Hall and quantum valley Hall effects is driven by the promise to establish topologically protected photonic edge modes at telecommunication and optical wavelengths on a simple…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 Matthias Saba , Stephan Wong , Mathew Elman , Sang Soon Oh , Ortwin Hess

In this article we review the quantum Hall physics of graphene based two-dimensional electron systems, with a special focus on recent experimental and theoretical developments. We explain why graphene and bilayer graphene can be viewed…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Yafis Barlas , Kun Yang , A. H. MacDonald

Hole-conjugate states of the fractional quantum Hall effect host counter-propagating edge channels which are thought to exchange charge and energy. These exchanges have been the subject of extensive theoretical and experimental works; in…

In graphene, the approximate SU(4) symmetry associated with the spin and valley degrees of freedom in the quantum Hall (QH) regime is reflected in the 4-fold degeneracy of graphene's Landau levels (LL's). Interactions and the Zeeman effect…

Superconductivity · Physics 2024-09-06 Joseph J. Cuozzo , Enrico Rossi

We argue that by inducing superconductivity in graphene via the proximity effect, it is possible to observes the "quantum valley Hall effect". In the presence of magnetic field, supercurrent causes "valley pseudospin" to accumulate at the…

Superconductivity · Physics 2013-05-29 Pouyan Ghaemi , Shinsei Ryu , Dung-Hai Lee

The gapless modes on the edge of four-dimensional (4D) quantum Hall droplets are known to be anisotropic: they only propagate in one direction, foliating the 3D boundary into independent 1D conduction channels. This foliation is extremely…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 Benoit Estienne , Blagoje Oblak , Jean-Marie Stéphan

We study graphene quantum point contacts (QPC) and imaging of the backscattering of the Fermi level wave function by potential introduced by a scanning probe. We consider both etched single-layer QPCs as well as the ones formed by bilayer…

Mesoscale and Nanoscale Physics · Physics 2017-10-27 Alina Mreńca-Kolasińska , Bartłomiej Szafran

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

We report on the observation of quantum transport and interference in a graphene device that is attached with a pair of split gates to form an electrostatically-defined quantum point contact (QPC). In the low magnetic field regime, the…

We study the effect of local modulation of charge density and carrier type in graphene field effect transistors using a double top gate geometry. The two top gates lead to the formation of multiple \emph{p-n} junctions. Electron transport…

Mesoscale and Nanoscale Physics · Physics 2012-03-09 Ajay K. Bhat , Vibhor Singh , Sunil Patil , Mandar M. Deshmukh

We investigate the superconducting proximity effect through graphene in the long diffusive junction limit, at low and high magnetic field. The interface quality and sample phase coherence lead to a zero resistance state at low temperature,…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Katsuyoshi Komatsu , Chuan Li , S. Autier-Laurent , H. Bouchiat , S. Gueron

The superior intrinsic properties of graphene have been a key research focus for the past few years. However, external components, such as metallic contacts, serve not only as essential probing elements, but also give rise to an effective…

Mesoscale and Nanoscale Physics · Physics 2012-05-14 Yanqing Wu , Vasili Perebeinos , Yu-ming Lin , Tony Low , Fengnian Xia , Phaedon Avouris

We report on the fate of the quantum Hall effect in graphene under strong laser illumination. By using Floquet theory combined with both a low energy description and full tight-binding models, we clarify the selection rules, the quasienergy…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 A. Huamán , L. E. F. Foa Torres , C. A. Balseiro , Gonzalo Usaj