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In this paper we study the excitation spectrum of graphene in a strong magnetic field, beyond the Dirac cone approximation. The dynamical polarizability is obtained using a full $\pi$-band tight-binding model where the effect of the…

Mesoscale and Nanoscale Physics · Physics 2012-09-03 Shengjun Yuan , Rafael Roldán , Mikhail I. Katsnelson

We compute the dynamical polarizability of graphene beyond the usual Dirac cone approximation, integrating over the full Brillouin zone. We find deviations at $\hbar\omega=2t$ ($t$ the hopping parameter) which amount to a logarithmic…

Mesoscale and Nanoscale Physics · Physics 2010-02-05 T. Stauber , J. Schliemann , N. M. R. Peres

We perform a detailed analysis of electronic polarizability of graphene with different theoretical approaches. From Kubo's linear response formalism, we give a general expression of frequency and wave-vector dependent polarizability within…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Tao Zhu , Mauro Antezza , Jian-Sheng Wang

We perform a comprehensive analysis of the spectrum of graphene plasmons which arise when a pair of sheets are confined between conducting materials. The associated enhanced local fields may be employed in the manipulation of light on the…

Mesoscale and Nanoscale Physics · Physics 2017-09-05 Godfrey Gumbs , Dipendra Dahal , Antonios Balassis

The particle-hole excitation spectrum for doped graphene is calculated from the dynamical polarizability. We study the zero and finite magnetic field cases and compare them to the standard two-dimensional electron gas. The effects of…

Mesoscale and Nanoscale Physics · Physics 2010-02-21 R. Roldan , M. O. Goerbig , J. -N. Fuchs

The electromagnetic response of graphene, expressed by the dielectric function, and the spectrum of collective excitations are studied as a function of wave vector and frequency. Our calculation is based on the full band structure,…

Strongly Correlated Electrons · Physics 2009-09-03 A. Hill , S. A. Mikhailov , K. Ziegler

The tight-binding model is closely associated with the modified layer-based random-phase approximation to thoroughly investigate the electron-electron interactions in sliding bilayer graphene. The Coulomb interactions and intralayer and…

Mesoscale and Nanoscale Physics · Physics 2023-03-13 Chiun-Yan Lin , Ming-Fa Lin

The collective excitation spectrum of two-dimensional (2D) antimonene is calculated beyond the low energy continuum approximation. The dynamical polarizability is computed using a 6-orbitals tight-binding model that properly accounts for…

Mesoscale and Nanoscale Physics · Physics 2018-11-14 Guus Slotman , Alexander Rudenko , Edo van Veen , Mikhail I. Katsnelson , Rafael Roldán , Shengjun Yuan

In this paper, we calculated the dielectric function, the loss function, the magnetoplasmon dispersion relation and the temperature-induced transitions for graphene in a uniform perpendicular magnetic field B. The calculations were…

Mesoscale and Nanoscale Physics · Physics 2014-04-14 Jhao-Ying Wu , Szu-Chao Chen , Oleksiy Roslyak , Godfrey Gumbs , Ming-Fa Lin

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

Magneto-Raman scattering experiments from the surface of graphite reveal novel features associated to purely electronic excitations which are observed in addition to phonon-mediated resonances. Graphene-like and graphite domains are…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 C. Faugeras , M. Amado , P. Kossacki , M. Orlita , M. Kühne , A. A. L. Nicolet , Yu. I. Latyshev , M. Potemski

The dispersion relation for the collective plasma excitations of optically dressed Dirac electrons in single and double graphene layers is calculated in the random-phase approximation. The presence of circularly polarized light gives rise…

Materials Science · Physics 2015-05-27 Oleksiy Roslyak , Godfrey Gumbs , Danhong Huang

Excitation of surface plasmons supported by doped graphene sheets at terahertz frequencies is investigated numerically. To alleviate the momentum mismatch between the highly-confined plasmon modes and the incident radiation, it is proposed…

Optics · Physics 2013-03-05 Choon How Gan

The layered graphene systems exhibit the rich and unique excitation spectra arising from the electron-electron Coulomb interactions. The generalized tight-binding model is developed to cover the planar/buckled/cylindrical structures,…

Computational Physics · Physics 2019-01-15 Chiun-Yan Lin , Jhao-Ying Wu , Chih-Wei Chiu , Ming-Fa Lin

The excitation spectrum and the collective modes of graphene antidot lattices (GALs) are studied in the context of a $\pi$-band tight-binding model. The dynamical polarizability and dielectric function are calculated within the random phase…

Mesoscale and Nanoscale Physics · Physics 2013-11-06 Shengjun Yuan , Fengping Jin , Rafael Roldán , Antti-Pekka Jauho , M. I. Katsnelson

This paper is devoted to development of perturbation theory for studying the properties of graphene sheet of finite size, at nonzero temperature and chemical potential. The perturbation theory is based on the tight-binding Hamiltonian and…

Strongly Correlated Electrons · Physics 2015-12-16 N. Yu. Astrakhantsev , V. V. Braguta , M. I. Katsnelson

In this study we report our numerical results on finite temperature non-interacting dynamical polarization function, plasmon modes and electron energy loss function of doped single layer gapped graphene within the random phase…

Mesoscale and Nanoscale Physics · Physics 2015-04-07 Digish K. Patel , Syed S. Z. Ashraf , Ami C. Sharma

The dynamical conductivity of interacting multiband electronic systems derived in Ref.[1] is shown to be consistent with the general form of the Ward identity. Using the semiphenomenological form of this conductivity formula, we have…

Mesoscale and Nanoscale Physics · Physics 2015-01-09 I. Kupcic

Self-consistent field theory is used to obtain the non-local plasmon dispersion relation of monolayer graphene which is Coulomb-coupled to a thick conductor. We calculate numerically the undamped plasmon excitation spectrum for arbitrary…

Materials Science · Physics 2014-12-24 Godfrey Gumbs , Andrii Iurov , N. J. M. Horing

We have investigated electron band structure of epitaxially grown graphene on an SiC(0001) substrate using angle-resolved photoemission spectroscopy. In single-layer graphene, abnormal high spectral intensity is observed at the Dirac energy…

Materials Science · Physics 2016-04-26 Jinwoong Hwang , Choongyu Hwang
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