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We start the paper with a brief presentation of the main characteristics of graphene, and of the Dirac theory of massless fermions in 2+1 dimensions obtained as the associated low-momentum effective theory, in the absence of external…

High Energy Physics - Theory · Physics 2008-11-26 C. G. Beneventano , E. M. Santangelo

Lattice deformations couple to the low energy electronic excitations of graphene as vector fields similar to the electromagnetic potential \cite{SA02b,VKG10}. The suggestion that certain strain configurations would be able to induce pseudo…

Mesoscale and Nanoscale Physics · Physics 2018-09-27 Eduardo V. Castro , Miguel A. Cazalilla , María A. H. Vozmediano

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 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

We study the the transport properties of multiterminal ballistic graphene samples, concentrating on the conductance matrix, fluctuations and cross-correlations. Far away from Dirac point, the current is carried mostly by propagating modes…

Mesoscale and Nanoscale Physics · Physics 2010-09-03 M. A. Laakso , T. T. Heikkilä

We report scanning tunneling microscopy (STM) and spectroscopy (STS) of twisted graphene bilayer on SiC substrate. For twist angle ~ 4.5o the Dirac point ED is located about 0.40 eV below the Fermi level EF due to the electron doping at the…

Strongly Correlated Electrons · Physics 2015-06-03 Lan Meng , Yanfeng Zhang , Wei Yan , Lei Feng , Lin He , Rui-Fen Dou , Jia-Cai Nie

Application of secondary quantized self-consistent Dirac -- Hartree -- Fock approach to consider electronic properties of monolayer graphene with accounting of spin-polarized states allows to coherently explain experimental results on…

Mesoscale and Nanoscale Physics · Physics 2013-09-10 H. V. Grushevskaya , G. G. Krylov

Bilayer graphene twisted by a small angle shows a significant charge modulation away from neutrality, as the charge in the narrow bands near the Dirac point is mostly localized in the regions of the Moir\'e pattern with $AA$ stacking. The…

Mesoscale and Nanoscale Physics · Physics 2018-12-13 Francisco Guinea , Niels R. Walet

The Dirac point and linear band structure in Graphene bestow it with remarkable electronic and optical properties, a subject of intense ongoing research. Explanations of high electronic mobility in graphene, often invoke the masslessness of…

Mesoscale and Nanoscale Physics · Physics 2019-03-21 Chaitanya K. Ullal , Jian Shi , Ravishankar Sundararaman

We provide a method for the generation of effective continuum Hamiltonians that goes beyond the well known k.p method in being equally effective in both high, and low (or no) symmetry situations. Our approach is based on a surprising exact…

Mesoscale and Nanoscale Physics · Physics 2019-07-10 N. Ray , F. Rost , D. Weckbecker , M. Vogl , S. Sharma , R. Gupta , O. Pankratov , S. Shallcross

We study electron transport in a strained graphene sheet subjected to a sequence of $N$ electrostatic and magnetic barriers. Employing a modified and improved transfer-matrix framework, we examine how the transmission and reflection…

Single-layer carbon, or graphene, demonstrates amazing transport properties, such as the minimum conductivity near $\frac{4e^2}{h}$ independent of shapes and mobility of samples. This indicates there exist some unusual effects due to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shi-Jie Xiong , Ye Xiong

We present calculations of electronic quantum transport in graphene nanoribbons with adsorbed H, F, OH and O, based on a tight binding model derived from extended Huckel theory. The relaxed atomic geometries of the adsorbates and graphene…

Mesoscale and Nanoscale Physics · Physics 2011-06-29 S. Ihnatsenka , G. Kirczenow

The optical absorption properties of graphene wrapped dielectric particles have been investigated by using Mie scattering theory and exact multi-scattering method. It is shown that subwavelength strong absorption in infrared spectra can…

Optics · Physics 2015-02-11 Bing Yang , Tong Wu , Yue Yang , Xiangdong Zhang

The effect of weak potential and bond disorder on the density of states of graphene is studied. By comparing the self-consistent non-crossing approximation on the honeycomb lattice with perturbation theory on the Dirac fermions, we…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 B. Dóra , K. Ziegler , P. Thalmeier

The sharp Dirac cone of the electronic dispersion confers to graphene a remarkable sensitivity to strain. It is usually encoded in scalar and pseudo-vector potentials, induced by the modification of hopping parameters, which have given rise…

The derivation for the transport coefficients of an electron system in the presence of temperature gradient and the electric and magnetic fields are presented. The Nernst conductivity and the transverse thermoelectric power of the Dirac…

Strongly Correlated Electrons · Physics 2014-11-20 Xin-Zhong Yan , C. S. Ting

We examine strain-induced quantized Landau levels in graphene. Specifically, arc-bend strains are found to cause nonuniform pseudomagnetic fields. Using an effective Dirac model which describes the low-energy physics around the nodal…

Mesoscale and Nanoscale Physics · Physics 2012-09-05 Yichen Chang , Tameem Albash , Stephan Haas

The effects of a propagating sinusoidal out-of-plane flexural deformation in the electronic properties of a tense membrane of graphene are considered within a non-perturbative approach, leading to an electron-ripple coupling. The…

Mesoscale and Nanoscale Physics · Physics 2019-08-29 Ramon Carrillo-Bastos , Gerardo G. Naumis

Mechanical deformations of graphene induce a term in the Dirac Hamiltonian which is reminiscent of an electromagnetic vector potential. Strain gradients along particular lattice directions induce local pseudomagnetic fields and substantial…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Eran Sela , Yakov Bloch , Felix von Oppen , Moshe Ben Shalom