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Based on the recently developed picture of an electronic ideal relativistic fluid at the Dirac point, we present an analytical model for the conductivity in graphene that is able to describe the linear dependence on the carrier density and…

Mesoscale and Nanoscale Physics · Physics 2013-01-16 M. Mendoza , H. J. Herrmann , S. Succi

The independence of the dynamic conductivity of intrinsic graphene of frequency takes its origin in the compensation of the vanishing density of states by the diverging matrix element of the corresponding interband transition. The…

Mesoscale and Nanoscale Physics · Physics 2009-12-08 E. G. Mishchenko

In this work, we present numerical results for the second and third order conductivities of the plain graphene and gapped graphene monolayers associated with the second and third harmonic generation, the optical rectification and the…

Mesoscale and Nanoscale Physics · Physics 2020-02-05 G. B. Ventura , D. J. Passos , J. M. Viana Parente Lopes , J. M. B. Lopes dos Santos

The optical conductivity of a system of electrons on the honeycomb lattice interacting through an electromagnetic field is computed by truncated exact Renormalization Group (RG) methods. We find that the conductivity has the universal value…

Strongly Correlated Electrons · Physics 2012-09-19 Alessandro Giuliani , Vieri Mastropietro

Recent optical conductivity experiments of doped graphene in the infrared regime reveal a strong background in the energy region between the intra and interband transitions difficult to explain within conventional pictures. We propose a…

Materials Science · Physics 2013-05-29 Adolfo G. Grushin , Belen Valenzuela , Maria A. H. Vozmediano

It is shown that the nearest neighbor coupling between the carbon atoms is not enough to reproduce the phonon spectrum as observed in graphene, the second neighbor force constant is essential. For completeness we have rederived the phonon…

Materials Science · Physics 2007-10-25 Rupali Kundu

The reflectivity properties of graphene with nonzero mass-gap parameter are investigated in the framework of Dirac model using the polarization tensor in (2+1)-dimensional space-time. For this purpose, a more simple explicit representation…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 G. L. Klimchitskaya , V. M. Mostepanenko

We study the transport properties of a neutral graphene sheet with curved regions induced or stabilized by topological defects. The proposed model gives rise to Dirac fermions in a random magnetic field and in the random space dependent…

Disordered Systems and Neural Networks · Physics 2013-05-29 Alberto Cortijo , Marí A. H. Vozmediano

The response of Dirac fermions to a Coulomb potential is predicted to differ significantly from the behavior of non-relativistic electrons seen in traditional atomic and impurity systems. Surprisingly, many key theoretical predictions for…

Mesoscale and Nanoscale Physics · Physics 2013-05-02 Yang Wang , Victor W. Brar , Andrey V. Shytov , Qiong Wu , William Regan , Hsin-Zon Tsai , Alex Zettl , Leonid S. Levitov , Michael F. Crommie

Frequency dependent conductivity of Coulomb interacting massless Dirac fermions coupled to random scalar and random vector potentials is found as a function of frequency in the regime controlled by a line of fixed points. Such model…

Disordered Systems and Neural Networks · Physics 2008-10-22 Oskar Vafek

We studied theoretically the effect of a low concentration of adsorbed polar molecules on the optical conductivity of graphene, within the Kubo linear response approximation. Our analysis is based on a continuum model approximation that…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Horacio Falomir , Marcelo Loewe , Enrique Muñoz

Graphene is a 2D material with appealing electronic and optoelectronic properties. It is a zero-bandgap material with valence and conduction bands meeting in a single point (Dirac point) in the momentum space. Its conductivity can be…

Applied Physics · Physics 2020-03-10 V. Sorianello , G. Contestabile , M. Romagnoli

The two-dimensional carbon allotrope graphene has recently attracted a lot of attention from researchers in the disciplines of Lattice Field Theory, Lattice QCD and Monte Carlo calculations. This interest has been prompted by several…

High Energy Physics - Lattice · Physics 2011-11-04 Timo A. Lähde , Joaquín E. Drut

We consider the relationship between the tight-binding Hamiltonian of the two-dimensional honeycomb lattice of carbon atoms with nearest neighbor hopping only and the 2+1 dimensional Hamiltonian of quantum electrodynamics which follows in…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 V. P. Gusynin , S. G. Sharapov , J. P. Carbotte

Strain engineering of graphene through interaction with a patterned substrate offers the possibility of tailoring its electronic properties, but will require detailed understanding of how graphene's morphology is determined by the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 William G. Cullen , Mahito Yamamoto , Kristen M. Burson , Jianhao Chen , Chaun Jang , Liang Li , Michael S. Fuhrer , Ellen D. Williams

The optical conductivity of graphene strained uniaxially is studied within the Kubo-Greenwood formalism. Focusing on inter-band absorption, we analyze and quantify the breakdown of universal transparency in the visible region of the…

Mesoscale and Nanoscale Physics · Physics 2011-01-17 Vitor M. Pereira , R. M. Ribeiro , N. M. R. Peres , A. H. Castro Neto

We study the low-energy electronic transport across periodic extended defects in graphene. In the continuum low-energy limit, such defects act as infinitesimally thin stripes separating two regions where Dirac Hamiltonian governs the…

Mesoscale and Nanoscale Physics · Physics 2012-12-14 J. N. B. Rodrigues , N. M. R. Peres , J. M. B. Lopes dos Santos

Using the self-consistent Born approximation to the Dirac fermions under finite-range impurity scatterings, we show that the current-current correlation function is determined by four-coupled integral equations. This is very different from…

Strongly Correlated Electrons · Physics 2008-06-10 Xin-Zhong Yan , Yousef Romiah , C. S. Ting

Ultrafast optical pump-probe spectroscopy measurement on monolayer graphene observes significant optical nonlinearities. We show that strongly photoexcited graphene monolayers with 35 fs pulses quasi-instantaneously build up a broadband,…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Junhua Zhang , Joerg Schmalian , Tianqi Li , Jigang Wang

We analyze the scattering sector of the Hamiltonians for both gapless and gapped graphene in the presence of a charge impurity using the 2D Dirac equation, which is applicable in the long wavelength limit. We show that for certain range of…

Mesoscale and Nanoscale Physics · Physics 2011-04-07 Kumar S. Gupta , Andjelo Samsarov , Siddhartha Sen