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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

The tight-binding model of electrons in graphene is reviewed. We derive low-energy Hamiltonians supporting massless Dirac-like chiral fermions and massive chiral fermions in monolayer and bilayer graphene, respectively, and we describe how…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Edward McCann

We show that the manifestation of quantum interference in graphene is very different from that in conventional two-dimensional systems. Due to the chiral nature of charge carriers, it is sensitive not only to inelastic, phase-breaking…

Mesoscale and Nanoscale Physics · Physics 2008-02-09 F. V. Tikhonenko , D. W. Horsell , R. V. Gorbachev , A. K. Savchenko

We have theoretically studied the collective response properties of the two-dimensional chiral electron gas in bilayer graphene within the random phase approximation. The cooperation of external controlling factors like perpendicular…

Mesoscale and Nanoscale Physics · Physics 2013-09-13 Wen-Long You , Xue-Feng Wang

The screening properties of fullerene molecules are described by means of a continuum model which uses the electronic wavefunctions of planar graphite as a starting point. The long distance behavior of the system gives rise to a…

Condensed Matter · Physics 2015-06-25 J. Gonzalez , F. Guinea , M. A. H. Vozmediano

Using a scanning electron microscope, we observed a reproducible, discrete distribution of secondary electron intensity stemming from an atomically thick graphene film on a thick insulating substrate. The discrete distribution made it…

Materials Science · Physics 2010-09-29 Hidefumi Hiura , Hisao Miyazaki , Kazuhito Tsukagoshi

The one-loop polarization function of graphene has been calculated at zero temperature for arbitrary wavevector, frequency, chemical potential (doping), and band gap. The result is expressed in terms of elementary functions and is used to…

Strongly Correlated Electrons · Physics 2008-12-12 P. K. Pyatkovskiy

We calculate 1-loop polarization in bilayer graphene in the 4-band approximation for arbitrary values of frequency, momentum and doping. At low and high energy our result reduces to the polarization functions calculated in the 2-band…

Strongly Correlated Electrons · Physics 2015-03-19 O. V. Gamayun

Raman imaging on the edges of single layer micromechanical cleavage graphene (MCG) was carried out. The intensity of disorder-induced Raman feature (D band at ~1350 cm-1) was found to be correlated to the edge chirality: it is stronger at…

Materials Science · Physics 2009-11-13 YuMeng You , ZhenHua Ni , Ting Yu , ZeXiang Shen

We theoretically study the dynamic screening properties of bilayer graphene within the random phase approximation assuming quadratic band dispersion and zero gap for the single-particle spectrum. We calculate the frequency dependent…

Materials Science · Physics 2010-11-18 Rajdeep Sensarma , E. H. Hwang , S. Das Sarma

We theoretically study the transmittance for normal incidence of linearly polarized light between two media separated by a strained graphene monolayer. We analytically characterize the degree of dichroism and the transparency of graphene as…

Mesoscale and Nanoscale Physics · Physics 2017-01-31 M. Oliva-Leyva , Gerardo G. Naumis

We present an overview of the electrical, mechanical, and thermal properties of polycrystalline graphene. Most global properties of this material, such as the charge mobility, thermal conductivity, or Young's modulus, are sensitive to its…

We study the electronic structure of multilayer graphene using a $\pi$-orbital continuum model with nearest-neighbor intralayer and interlayer tunneling. Using degenerate state perturbation theory, we show that the low-energy electronic…

Mesoscale and Nanoscale Physics · Physics 2011-02-18 Hongki Min , A. H. MacDonald

The quantum capacitance of the monolayer graphene for arbitrary carrier density, magnetic field and temperature is found. The density dependence of the quantum capacitance is analyzed for magnetic field(temperature) is fixed(varied) and…

Mesoscale and Nanoscale Physics · Physics 2023-11-21 M. V. Cheremisin

We identify qualitative trends in the stacking sequence dependence of carrier-carrier interaction phenomena in multilayer graphene. Our theory is based on a new approach which explicitly exhibits the important role in interaction phenomena…

Mesoscale and Nanoscale Physics · Physics 2016-09-30 Yunsu Jang , E. H. Hwang , A. H. MacDonald , Hongki Min

The application of the chiral decomposition procedure to hybrid graphene h-BN systems revealed rules for the partition of the system into effective subsystems being bilayers plus monolayer in case the number of layers is odd. Three types of…

Mesoscale and Nanoscale Physics · Physics 2018-12-26 A. Molenda , P. Maślanka , I. Zasada

The computational research that will be presented compares the coherent states of multiple layer graphene versus the coherent states of lithium ions diffused within this multilayer graphene. Unlike the prevailing research on graphene…

Mesoscale and Nanoscale Physics · Physics 2024-05-07 Donald C Boone

In this review, we provide an in-depth description of the physics of monolayer and bilayer graphene from a theorist's perspective. We discuss the physical properties of graphene in an external magnetic field, reflecting the chiral nature of…

Materials Science · Physics 2014-11-20 D. S. L. Abergel , V. Apalkov , J. Berashevich , K. Ziegler , Tapash Chakraborty

Peeling, shearing, and sliding are important mechanical phenomena in van der Waals solids. However, theoretically they have been studied mostly using minimal periodic cells and in the context of accurate quantum simulations. Here, we…

Mesoscale and Nanoscale Physics · Physics 2015-10-22 Topi Korhonen , Pekka Koskinen

We discuss the chiral decomposition of non-symmetric stacking structures. It is shown that the low-energy electronic structure of Bernal stacked graphene multilayer deposited on h-BN consists of chiral pseudospin doublets. N-layer graphene…

Materials Science · Physics 2018-05-11 Ilona Zasada , Andrzej Molenda , Paweł Maślanka , Kamil Łuczak