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Although massless Dirac fermions in graphene constitute a centrosymmetric medium for in-plane excitations, their second-order nonlinear optical response is nonzero if the effects of spatial dispersion are taken into account. Here we present…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 Yongrui Wang , Mikhail Tokman , Alexey Belyanin

Collective excitations spectrum of Dirac electrons in mono and bilayer graphene in the presence of a uniform magnetic field is investigated. Analytical results for inter-Landau band plasmon spectrum within the self-consistent-field approach…

Mesoscale and Nanoscale Physics · Physics 2008-09-17 M. Tahir , K. Sabeeh

We study the solutions of the (2+1)-dimensional kappa-deformed Dirac oscillator in the presence of a constant transverse magnetic field. We demonstrate how the deformation parameter affects the energy eigenvalues of the system and the…

High Energy Physics - Theory · Physics 2019-01-11 Y. Chargui , A. Dhahbi , B. Cherif

Recent experiments have proven that the quasiparticles in graphene obey a Dirac equation. Here we show that microwaves are an excellent probe of their unusual dynamics. When the chemical potential is small the intraband response can exhibit…

Strongly Correlated Electrons · Physics 2007-05-23 V. P. Gusynin , S. G. Sharapov , J. P. Carbotte

It is a fundamental paradigm that the physical effects induced by electric fields are qualitatively different from those induced by magnetic fields. Here we show that electrons at a Dirac point in bilayer graphene experience an unusual type…

Mesoscale and Nanoscale Physics · Physics 2012-06-22 R. Winkler , U. Zuelicke

Dirac's formulation of magnetic monopoles is shown to be equivalent to Maxwell theory coupled to 2-form gauge fields so that it has a local 1-form symmetry, with the 2-form gauge fields given in terms of the 2-form current densities…

High Energy Physics - Theory · Physics 2025-05-09 C M Hull

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

In the presence of strong magnetic fields the electronic bandstructure of graphene drastically changes. The Dirac cone collapses into discrete non-equidistant Landau levels, which can be externally tuned by changing the magnetic field. In…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 Samuel Brem , Florian Wendler , Ermin Malic

We report systematic theoretical studies of the inverse Faraday effect in materials with massless Dirac fermions, both in two dimensions such as graphene and surface states in topological insulators, and in three dimensions such as Dirac…

Mesoscale and Nanoscale Physics · Physics 2020-05-27 I. D. Tokman , Qianfan Chen , I. A. Shereshevsky , V. I. Pozdnyakova , Ivan Oladyshkin , Mikhail Tokman , Alexey Belyanin

Inelastic light scattering from Dirac-type electrons in graphene is shown to be dominated by the generation of the inter-band electronic modes which are odd in terms of time-inversion symmetry and belong to the irreducible representation…

Mesoscale and Nanoscale Physics · Physics 2010-01-25 Oleksiy Kashuba , Vladimir I. Fal'ko

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

In this paper, we present the solutions of the Dirac-Weyl equation for graphene under a constant magnetic field. The resulting spectrum is used to determine the partition function, a key quantity in the study of thermodynamic properties.…

Multilayer graphene lattices allow for an additional tunability of the band structure by the strong perpendicular electric field. In particular, the emergence of the new multiple Dirac points in ABA stacked trilayer graphene subject to…

Mesoscale and Nanoscale Physics · Physics 2020-06-11 Peng Rao , Maksym Serbyn

Under strong laser fields, electrons in solids radiate high-harmonic fields by travelling through quantum pathways in Bloch bands in the sub-laser-cycle timescales. Understanding these pathways in the momentum space through the…

Magneto-transmission measurements in magnetic fields in the range B=20-60T have been performed to probe the H and K-point Landau level transitions in natural graphite. At the H-point, two series of transitions, whose energy evolves as…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 N. Ubrig , P. Plochocka , P. Kossacki , M. Orlita , D. K. Maude , O. Portugall , G. L. J. A. Rikken

We formulate a low energy effective Hamiltonian to study superlattices in bilayer graphene (BLG) using a minimal model which supports quadratic band touching points. We show that a one dimensional (1D) periodic modulation of the chemical…

Mesoscale and Nanoscale Physics · Physics 2011-08-23 Matthew Killi , Si Wu , Arun Paramekanti

Landau levels of AB-stacked four- to six-layer graphene were studied experimentally in the presence of a perpendicular electric field. The Landau levels at a low magnetic field showed a characteristic structure that originated from the…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Kota Horii , Tomoaki Nakasuga , Taiki Hirahara , Shingo Tajima , Ryoya Ebisuoka , Kenji Watanabe , Takashi Taniguchi , Ryuta Yagi

We study 1-loop effects for massless Dirac fields in two spatial dimensions, coupled to homogeneous electromagnetic backgrounds, both at zero and at finite temperature and density. In the case of a purely magnetic field, we analyze the…

High Energy Physics - Theory · Physics 2009-06-19 C. G. Beneventano , Paola Giacconi , E. M. Santangelo , Roberto Soldati

We investigate a generalized two-dimensional Weyl Hamiltonian, which may describe the low-energy properties of mechanically deformed graphene and of the organic compound alpha-(BEDT-TTF)_2I_3 under pressure. The associated dispersion has…

Mesoscale and Nanoscale Physics · Physics 2008-07-16 M. O. Goerbig , J. -N. Fuchs , G. Montambaux , F. Piechon

We study the (2+1) dimensional Dirac equation in an homogeneous magnetic field (relativistic Landau problem) within a minimal length, or generalized uncertainty principle -GUP-, scenario. We derive exact solutions for a given explicit…

High Energy Physics - Theory · Physics 2013-05-07 L. Menculini , O. Panella , P. Roy