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The zero gap electronic bands in the monolayer graphene are shown to be unstable relative to the dynamic symmetry violation due to the electron-phonon interaction.

Mesoscale and Nanoscale Physics · Physics 2009-10-20 Sergey A. Ktitorov , Xiaoxing Chen

It is generally believed that free-standing graphene does not demonstrate any ferroic properties. In the present work we revise this statement and show that single graphene sheet with a pair of magnetic adatoms can be driven into…

Strongly Correlated Electrons · Physics 2016-11-15 Y. Marques , L. S. Ricco , F. A. Dessotti , R. S. Machado , I. A. Shelykh , M. de Souza , A. C. Seridonio

We explore the optical properties of periodic layered media containing left-handed metamaterials. This study is based on several analogies between the propagation of light in metamaterials and charge transport in graphene. We derive the…

Optics · Physics 2013-08-09 Yury P. Bliokh , Valentin Freilikher , Franco Nori

We have investigated the behavior of the resistance of graphene at the $n=0$ Landau Level in an intense magnetic field $H$. Employing a low-dissipation technique (with power $P<$3 fW), we find that, at low temperature $T$, the resistance at…

Mesoscale and Nanoscale Physics · Physics 2009-04-01 Joseph G. Checkelsky , Lu Li , N. P. Ong

We present quantum-mechanical density-matrix formalism for calculating the nonlinear optical response of magnetized graphene, valid for arbitrarily strong magnetic and optical fields. We show that magnetized graphene possesses by far the…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Xianghan Yao , Alexey Belyanin

Interaction of graphene with a defect layer of a 1D defective photonic structure correspondingly could open a Dirac gap in its nonlinear energy dispersion. Also, an excitonic gap could be created upon applied strong magnetic fields at low…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Dariush Jahani

The low-energy excitations of graphene are relativistic massless Dirac fermions with opposite chiralities at valleys K and K'. Breaking the chiral symmetry could lead to gap opening in analogy to dynamical mass generation in particle…

Mesoscale and Nanoscale Physics · Physics 2021-06-03 Changhua Bao , Hongyun Zhang , Teng Zhang , Xi Wu , Laipeng Luo , Shaohua Zhou , Qian Li , Yanhui Hou , Wei Yao , Liwei Liu , Pu Yu , Jia Li , Wenhui Duan , Hong Yao , Yeliang Wang , Shuyun Zhou

We reveal that optical saturation of the low-energy states takes place in graphene for arbitrarily weak electromagnetic fields. This effect originates from the diverging field-induced interband coupling at the Dirac point. Using…

Mesoscale and Nanoscale Physics · Physics 2024-01-02 Behrooz Semnani , Roland Jago , Safieddin Safavi-Naeini , Amir Hamed Majedi , Ermin Malic , Philippe Tassin

The notion of Dirac cones, wherein two or more bands become degenerate at a certain momentum, is the starting point for the study of topological phases. Dirac cones have been thoroughly explored in fermionic systems such as graphene, Weyl…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 P. Sathish Kumar , R. Ganesh

A way to represent the band structure that distinguishes between energy-momentum and energy-crystal momentum relationships is proposed upon the band-unfolding concept. This momentum-resolved band structure offers better understanding of the…

Materials Science · Physics 2018-07-02 Chi-Cheng Lee , Masahiro Fukuda , Yung-Ting Lee , Taisuke Ozaki

We have investigated the absorption spectrum of multilayer graphene in high magnetic fields. The low energy part of the spectrum of electrons in graphene is well described by the relativistic Dirac equation with a linear dispersion…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 P. Plochocka , C. Faugeras , M. Orlita , M. L. Sadowski , G. Martinez , M. Potemski , M. O. Goerbig , J. -N. Fuchs , C. Berger , W. A. de Heer

We use angle-resolved photoemission spectroscopy to investigate the electronic structure of bilayer graphene at high n-doping and extreme displacement fields, created by intercalating epitaxial monolayer graphene on silicon carbide with…

Graphene-metal nanoparticle hybrid materials potentially display not only the unique properties of metal nanoparticles and those of graphene, but also additional novel properties due to the interaction between graphene and nanoparticles.…

Mesoscale and Nanoscale Physics · Physics 2016-07-27 András Pálinkás , Péter Süle , Márton Szendrő , György Molnár , Chanyong Hwang , László P. Biró , Zoltán Osváth

By means of atomistic tight-binding calculations, we investigate the transport properties of vertical devices made of two incommensurately misoriented graphene layers. With a chosen transport direction (Ox-axis), we define two classes of…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 Viet Hung Nguyen , Philippe Dollfus

Twisted moir\'e Dirac systems enable powerful miniband engineering but are largely fixed once the twist angle is set, whereas unidirectional (1D) electrostatic superlattices offer continuous control of Dirac anisotropy; yet robust…

Mesoscale and Nanoscale Physics · Physics 2026-03-03 Hanzhou Tan , Pilkyung Moon

In spite of unscreened Coulomb interactions close to charge neutrality, relativistic massless electrons in graphene allegedly behave as noninteracting particles. A clue to this paradox is that both interaction and kinetic energies scale…

Mesoscale and Nanoscale Physics · Physics 2014-09-29 K. A. Guerrero-Becerra , Massimo Rontani

There is evidence for existence of massless Dirac quasi-particles in graphene, which satisfy Dirac equation in (1+2) dimensions near the so called Dirac points which lie at the corners at the graphene's brilluoin zone. It is shown that…

Mesoscale and Nanoscale Physics · Physics 2011-05-31 Riazuddin

This work analyzes monolayer graphene in external electromagnetic fields, which is described by the Dirac equation with minimal coupling. Supersymmetric quantum mechanics allows building new Dirac equations with modified magnetic fields.…

Mesoscale and Nanoscale Physics · Physics 2022-09-07 Miguel Castillo-Celeita , Alonso Contreras-Astorga , David J. Fernández C

In this paper several examples of gaps (lacunes) between dimensions of maximal and submaximal symmetric models are considered, which include investigation of number of independent linear and quadratic integrals of metrics and counting the…

Differential Geometry · Mathematics 2012-03-06 Boris Kruglikov

In this paper, we study the opening of a spectral gap for a class of 2-dimensional periodic Hamiltonians which include those modelling multilayer graphene. The kinetic part of the Hamiltonian is given by $\sigma \cdot F(-i\nabla)$, where…

Mathematical Physics · Physics 2020-02-04 J. -M. Barbaroux , H. D. Cornean , S. Zalczer