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Landau level bending near the edge of graphene, described using 2d Dirac equation, provides a microscopic framework for understanding the quantum Hall Effect (QHE) in this material. We review properties of the QHE edge states in graphene,…

Mesoscale and Nanoscale Physics · Physics 2008-04-13 Dmitry A. Abanin , Patrick A. Lee , Leonid S. Levitov

The even denominator fractional quantum Hall effect has been experimentally observed in graphene in the fourth Landau level ($n = 3$). This paper is motivated by recent studies regarding the possibility of pairing and the nature of the…

Strongly Correlated Electrons · Physics 2025-02-14 Sonja Predin

We numerically study the interplay of band structure, topological invariant and disorder effect in two-dimensional electron system of graphene in a magnetic field. Two \emph{distinct} quantum Hall effect (QHE) regimes exist in the energy…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. N. Sheng , L. Sheng , Z. Y. Weng

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

Many striking non-equilibrium phenomena have been discovered or predicted in optically-driven quantum solids, ranging from light-induced superconductivity to Floquet-engineered topological phases. These effects are expected to lead to…

Mesoscale and Nanoscale Physics · Physics 2020-01-13 J. W. McIver , B. Schulte , F. -U. Stein , T. Matsuyama , G. Jotzu , G. Meier , A. Cavalleri

In this review, we provide an in-depth description of the physics of monolayer and bilayer graphene from a theorist's perspective. We discuss the physical properties of graphene in an external magnetic field, reflecting the chiral nature of…

Materials Science · Physics 2014-11-20 D. S. L. Abergel , V. Apalkov , J. Berashevich , K. Ziegler , Tapash Chakraborty

Quantum anomalous Hall state is expected to emerge in Dirac electron systems such as graphene under both sufficiently strong exchange and spin-orbit interactions. In pristine graphene, neither interaction exists; however, both interactions…

Mesoscale and Nanoscale Physics · Physics 2017-10-12 Chi Tang , Bin Cheng , Mohammed Aldosary , Zhiyong Wang , Zilong Jiang , K. Watanabe , T. Taniguchi , Marc Bockrath , Jing Shi

Close to charge neutrality, the low-energy properties of high-quality suspended devices based on atomically thin graphene layers are determined by electron-electron interactions. Bernal-stacked layers, in particular, have shown a remarkable…

Strongly Correlated Electrons · Physics 2016-10-20 Youngwoo Nam , Dong-Keun Ki , Mikito Koshino , Edward McCann , Alberto F. Morpurgo

The interaction between graphene and substrates provides a viable routes to enhance functionality of both materials. Depending on the nature of electronic interaction at the interface, the electron band structure of graphene is strongly…

Heterostructures involving graphene and bismuth, with their ability to absorb light over a very wide energy range, are of interest for engineering next-generation opto-electronics. Critical to the technological application of such…

Materials Science · Physics 2020-05-20 Ivan I. Naumov , Pratibha Dev

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

We report on our accurate evaluation of spin polarizations of the ground state and particle-hole gaps for partially-filled lowest Landau level, observed in recent experiments on graphene subjected to ultra-high magnetic fields. We find that…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Tapash Chakraborty , Pekka Pietilainen

In this paper, we predict the existence of low-frequency nonlocal plasmon excitations at the vacuum-surface interface of a superlattice of $N$ graphene layers interacting with a thick conducting substrate. This is different from graphite…

Mesoscale and Nanoscale Physics · Physics 2015-08-11 Godfrey Gumbs , Andrii Iurov , Jhao-Ying Wu , M. F. Lin , Paula Fekete

In the framework of first-principles calculations, we investigate the structural and electronic properties of graphene in contact with as well as sandwiched between WS$_2$ and WSe$_2$ monolayers. We report the modification of the band…

Mesoscale and Nanoscale Physics · Physics 2014-12-12 T. P. Kaloni , L. Kou , T. Frauenheim , U. Schwingenschlögl

We analyze, within a minimal model that allows analytical calculations, the electronic structure and Landau levels of graphene multi-layers with different stacking orders. We find, among other results, that electrostatic effects can induce…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 F. Guinea , A. H. Castro Neto , N. M. R. Peres

Intercalation of epitaxial graphene on SiC(0001) with Sn results in a well-ordered Sn $(1\times1)$ structure on the SiC surface with quasi-freestanding graphene on top. While the electronic properties of the individual layers have been…

We present the results of an experimental study of the interaction of quantized Landau level (LL) edge-states at the physical edge of graphene by using a graphene pn junction device with a ring-shaped geometry for the channel. The unique…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Son T. Le , Joseph A. Hagmann , Nikolai Klimov , David Newell , Ji Ung Lee , Jun Yan , Curt A. Richter

We report a theoretical study of the many-body effects of electron-electron interaction on the ground-state and spectral properties of double-layer graphene. Using a projector-based renormalization method we show that if a finite voltage…

Strongly Correlated Electrons · Physics 2015-06-04 Van-Nham Phan , Holger Fehske

Quantum confinement endows two-dimensional (2D) layered materials with exceptional physics and novel properties compared to their bulk counterparts. Although certain two- and few-layer configurations of graphene have been realized and…

Graphene multilayers are grown epitaxially on single crystal silicon carbide. This system is composed of several graphene layers of which the first layer is electron doped due to the built-in electric field and the other layers are…