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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

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 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 examine the low-energy physics of graphene in the presence of a circularly polarized electric field in the terahertz regime. Specifically, we derive a general expression for the dynamical polarizability of graphene irradiated by an ac…

Mesoscale and Nanoscale Physics · Physics 2012-04-26 Maria Busl , Gloria Platero , Antti-Pekka Jauho

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

We demonstrate that the electronic spectrum of graphene in a one-dimensional periodic potential will develop a Landau level spectrum when the potential magnitude varies slowly in space. The effect is related to extra Dirac points generated…

Mesoscale and Nanoscale Physics · Physics 2011-02-28 Jianmin Sun , H. A. Fertig , L. Brey

The one-loop dynamical polarization function of graphene in an external magnetic field is calculated as a function of wavevector and frequency at finite chemical potential, temperature, band gap, and width of Landau levels. The exact…

Strongly Correlated Electrons · Physics 2011-02-28 P. K. Pyatkovskiy , V. P. Gusynin

We study the interaction of electrons in graphene with the quantized electromagnetic field in the presence of an applied uniform electric field using the Dirac model of graphene. Electronic states are represented by exact solutions of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 N. Yokomizo

We demonstrated theoretically that the renormalization of the electron energy spectrum near the Dirac point of graphene by a strong high-frequency electromagnetic field (dressing field) drastically depends on polarization of the field.…

Mesoscale and Nanoscale Physics · Physics 2016-02-04 K. Kristinsson , O. V. Kibis , S. Morina , I. A. Shelykh

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

Graphene is a unique two-dimensional material with rich new physics and great promise for applications in electronic devices. Physical phenomena such as the half-integer quantum Hall effect and high carrier mobility are critically dependent…

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

Within the tight binding approximation, we study the dependence of the electronic band structure and of the optical conductivity of a graphene single layer on the modulus and direction of applied uniaxial strain. While the Dirac cone…

Mesoscale and Nanoscale Physics · Physics 2010-01-15 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci

Magneto-optical transitions between Landau levels can provide precise spectroscopic information on the electronic structure and excitation spectra of graphene, enabling probes of substrate and many-body effects. We calculate the…

Mesoscale and Nanoscale Physics · Physics 2015-09-15 L. A. Chizhova , J. Burgdörfer , F. Libisch

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 theoretically study magnetic field, temperature, and energy band-gap dependences of magnetizations in the Dirac fermions. We use the zeta function regularization to obtain analytical expressions of thermodynamic potential, from which the…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 F. R. Pratama , M. Shoufie Ukhtary , Riichiro Saito

The electrons in graphene for energies close to the Dirac point have been found to form strongly interacting fluid. Taking this fact into account we have extended previous work on the transport properties of graphene by taking into account…

High Energy Physics - Theory · Physics 2018-03-14 Marek Rogatko , Karol. I. Wysokinski

We analyse the interaction between charges and graphene layers. The electric polarisability of graphene induces a force, that can be described by an image charge. The analysis shows that graphene can be described as an imperfect conductor…

Mesoscale and Nanoscale Physics · Physics 2016-05-27 Francisco Guinea , Niels R. Walet

The quantum capacitance of graphene can be negative when the graphene is placed in a strong magnetic field, which is a clear experimental signature of positional correlations between electrons. Here we show that the quantum capacitance of…

Mesoscale and Nanoscale Physics · Physics 2013-10-15 Brian Skinner , G. L. Yu , A. V. Kretinin , A. K. Geim , K. S. Novoselov , B. I. Shklovskii

We study the effect of a magnetic field on Dirac fermions in graphene subject to a scalar potential oscillating in time. Using the Floquet theory and resonance approximation, we show that the energy spectrum exhibits extra subbands resulted…

Mesoscale and Nanoscale Physics · Physics 2022-03-07 Rachid El Aitouni , Ahmed Jellal
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