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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 show that, when graphene is subjected to an appropriate one-dimensional external periodic potential, additional branches of massless fermions are generated with nearly the same electron-hole crossing energy as that at the original Dirac…

Mesoscale and Nanoscale Physics · Physics 2009-07-24 Cheol-Hwan Park , Young-Woo Son , Li Yang , Marvin L. Cohen , Steven G. Louie

Electrons in two-dimensional hexagonal materials have valley degree of freedom, which can be used to encode and process quantum information. The valley-selective excitations, governed by the circularly polarised light resonant with the…

Mesoscale and Nanoscale Physics · Physics 2021-03-19 M. S. Mrudul , Álvaro Jiménez-Galán , Misha Ivanov , Gopal Dixit

Graphene, a single free-standing sheet of graphite with honeycomb lattice structure, is a semimetal with carriers that have linear dispersion. A consequence of this dispersion is the absence of Wigner crystallization in graphene, since the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 C. -H. Zhang , Yogesh N. Joglekar

The combination of Dirac physics and elasticity has been explored at length in graphene where the so--called "elastic gauge fields" have given rise to an entire new field of research and applications: Straintronics. The fact that these…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 Alberto Cortijo , Yago Ferreirós , Karl Landsteiner , María A. H. Vozmediano

A doped graphene layer in the integer quantum Hall regime reveals a highly unusual particle-hole excitation spectrum, which is calculated from the dynamical polarizability in the random phase approximation. We find that the elementary…

Mesoscale and Nanoscale Physics · Physics 2009-08-07 R. Roldan , J. -N. Fuchs , M. O. Goerbig

A rich pattern of fractional quantum Hall states in graphene double layers can be naturally explained in terms of two-component composite fermions carrying both intra- and inter-layer vortices.

Strongly Correlated Electrons · Physics 2019-08-23 G. A Csathy , J. K. Jain

We develop a Fermionic Chern-Simons (CS) theory for the fractional quantum Hall effect in monolayer graphene with SU(4) symmetry, arising from the spin and the valley degrees of freedom, which involves four distinct CS gauge fields. We…

Strongly Correlated Electrons · Physics 2015-05-28 Sanhita Modak , Sudhansu S. Mandal , K. Sengupta

We show the emergence of fractional quantum Hall states in dry-transferred chemical vapor deposition (CVD) derived graphene assembled into heterostructures for magnetic fields from below 3 T to 35 T. Effective composite-fermion filling…

Mesoscale and Nanoscale Physics · Physics 2020-09-14 M. Schmitz , T. Ouaj , Z. Winter , K. Rubi , K. Watanabe , T. Taniguchi , U. Zeitler , B. Beschoten , C. Stampfer

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

In this paper we study the excitation spectrum of single- and multi-layer graphene beyond the Dirac cone approximation. The dynamical polarizability of graphene is computed using a full $\pi$-band tight-binding model, considering the…

Mesoscale and Nanoscale Physics · Physics 2011-07-29 Shengjun Yuan , Rafael Roldán , Mikhail I. Katsnelson

At half filling, the electronic structure of graphene can be modelled by a pair of free two-dimensional Dirac fermions. We explicitly demonstrate that in the presence of a geometrically induced gauge field, an everywhere-real Kekule…

Mesoscale and Nanoscale Physics · Physics 2008-04-18 Jiannis K. Pachos , Michael Stone , Kristan Temme

We study the collective excitations of fractional quantum Hall states in graphene. We focus on states which allow for chiral symmetry breaking (CSB) orders, specifically antiferromagnetism and charge density wave order. We investigate…

Mesoscale and Nanoscale Physics · Physics 2024-02-15 Sujit Narayanan , Malcolm P. Kennett

We study the quantum Hall effect in graphene at filling factors \nu = 0 and \nu = \pm, concentrating on the quantum Hall ferromagnetic regime, within a non-perturbative bosonization formalism. We start by developing a bosonization scheme…

Mesoscale and Nanoscale Physics · Physics 2008-11-14 R. L. Doretto , C. Morais Smith

The rise of graphene opens a new door to qubit implementation, as discussed in the recent proposal of valley pair qubits in double quantum dots of gapped graphene (Wu et al., arXiv: 1104.0443 [cond-mat.mes-hall]). The work here presents the…

Mesoscale and Nanoscale Physics · Physics 2011-07-05 G. Y. Wu , N. -Y. Lue , L. Chang

Monolayer graphene under a strong perpendicular field exhibit quantum Hall ferromagnetism with spontaneously broken spin and valley symmetry. The approximate SU(4) spin/valley symmetry is broken by small lattice scale effects in the central…

Strongly Correlated Electrons · Physics 2019-09-18 Thierry Jolicoeur , Bradraj Pandey

We show that the plasmon spectrum of an ordinary two-dimensional electron gas (2DEG) hosted in a GaAs heterostructure is significantly modified when a graphene sheet is placed on the surface of the semiconductor in close proximity to the…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 Alessandro Principi , Matteo Carrega , Reza Asgari , Vittorio Pellegrini , Marco Polini

We analyze a gap equation for the propagator of Dirac quasiparticles and conclude that in graphene in a magnetic field, the order parameters connected with the quantum Hall ferromagnetism dynamics and those connected with the magnetic…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 E. V. Gorbar , V. P. Gusynin , V. A. Miransky

Viscous phenomena are the hallmark of the hydrodynamic flow exhibited by Dirac fermions in clean graphene at high enough temperatures. We report a quantitative calculation of the electronic shear and Hall viscosities in graphene based on…

Mesoscale and Nanoscale Physics · Physics 2019-07-31 B. N. Narozhny , M. Schütt

Graphene, a monolayer of carbon atoms arranged in a hexagonal pattern, provides a unique two-dimensional (2D) system exhibiting exotic phenomena such as quantum Hall effects, massless Dirac quasiparticle excitations and universal absorption…

Mesoscale and Nanoscale Physics · Physics 2013-04-23 K. M. Dani , J. Lee , R. Sharma , A. D. Mohite , C. M. Galande , P. M. Ajayan , A. M. Dattelbaum , H. Htoon , A. J. Taylor , R. P. Prasankumar
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