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We reveal that the periodic radius modulation peculiar to one-dimensional (1D) peanut-shaped fullerene (C$_{60}$) polymers exerts a strong influence on their low-frequency phonon states and their interactions with mobile electrons. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Shota Ono , Hiroyuki Shima

We calculate the phonon-dispersion relations of several two-dimensional materials and diamond using the density-functional based tight-binding approach (DFTB). Our goal is to verify if this numerically efficient method provides sufficiently…

Materials Science · Physics 2019-09-04 Thomas A. Niehaus , Sigismund T. A. G. Melissen , Balint Aradi , S. Mehdi Vaez Allaei

We study the effect of spatial dispersion of crystal modes on optical properties such as the reflectivity $R$. As an example for isotropic media, we investigate the simplest model for phonons in ionic crystals and compare with previous…

Optics · Physics 2009-11-10 I. Kaelin , Ch. Helm , G. Blatter

We study the effect of two metallic slabs on the collective dynamics of electrons in graphene positioned between the two slabs. We show that if the slabs are perfect conductors the plasmons of graphene display a linear dispersion relation.…

Mesoscale and Nanoscale Physics · Physics 2021-04-23 Luca Salasnich

We report on the temperature dependent electron transport in graphene at different carrier densities $n$. Employing an electrolytic gate, we demonstrate that $n$ can be adjusted up to 4$\times10^{14}$cm$^{-2}$ for both electrons and holes.…

Mesoscale and Nanoscale Physics · Physics 2010-12-14 Dmitri K. Efetov , Philip Kim

We consider a model of Dirac fermions coupled to flexural phonons to describe a graphene sheet fluctuating in dimension $2+d$. We derive the self-consistent screening equations for the quantum problem, exact in the limit of large $d$. We…

Mesoscale and Nanoscale Physics · Physics 2014-04-02 Francisco Guinea , Pierre Le Doussal , Kay Joerg Wiese

The vibrational properties of graphene fluoride and graphane are studied using ab initio calculations. We find that both sp3 bonded derivatives of graphene have different phonon dispersion relations and phonon density of states as expected…

Materials Science · Physics 2011-04-26 H. Peelaers , A. D. Hernández-Nieves , O. Leenaerts , B. Partoens , F. M. Peeters

The theory of optical effects in hydrogenated graphene (graphane) in terahertz and infrared range is developed, including the analysis of complex conductivity, reflection coefficient for graphane on a substrate and dispersion of surface…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 E. I. Preobrazhensky , I. V. Oladyshkin , M. D. Tokman

In this article we perform the quantization of graphene plasmons using both a macroscopic approach based on the classical average electromagnetic energy and a quantum hydrodynamic model, in which graphene charge carriers are modeled as a…

Mesoscale and Nanoscale Physics · Physics 2020-03-25 Beatriz A. Ferreira , B. Amorim , A. J. Chaves , N. M. R. Peres

We study the thermal distribution of intervalley phonons in a graphene sheet. These phonons have two components with the same frequency. The degeneracy of the two modes is preserved by weak electron-phonon coupling. A sufficiently strong…

Materials Science · Physics 2011-07-22 K. Ziegler , E. Kogan

The theoretical description for the reflectivity properties of dielectric, metal and semiconductor plates coated with graphene is developed in the framework of the Dirac model. Graphene is described by the polarization tensor allowing the…

Materials Science · Physics 2016-04-07 G. L. Klimchitskaya , C. C. Korikov , V. M. Petrov

Suspended graphene exhibits ripples of size ranging from 50 to 100 {\AA} and height $\sim$10{\AA}, however, their origin remains undetermined. Previous theoretical works have proposed that rippling in graphene might be generated by the…

Mesoscale and Nanoscale Physics · Physics 2020-07-08 Tommaso Cea , Miguel Ruiz-Garcia , Luis Bonilla , Francisco Guinea

We provide a theoretical model that describes the dielectric coupling of a 2D layer of graphene, represented by a polarization function in the Random Phase Approximation, and a semi-infinite 3D substrate, represented by a surface response…

Mesoscale and Nanoscale Physics · Physics 2010-06-10 K. F. Allison , Z. L. Miskovic

We study the effect of the electron-phonon interaction on the finite frequency dependent electronic thermal conductivity of two dimensional graphene. We calculate it for various acoustic phonons present in graphene and characterized by…

Strongly Correlated Electrons · Physics 2017-04-07 Pankaj Bhalla

We determine from first-principles the finite-temperature properties--linewidths, line shifts, and lifetimes--of the key vibrational modes that dominate inelastic losses in graphitic materials. In graphite, the phonon linewidth of the…

Materials Science · Physics 2007-10-25 Nicola Bonini , Michele Lazzeri , Nicola Marzari , Francesco Mauri

In this paper, a continuum mechanics model of graphene is proposed, and its analytical solution is derived. Graphene is modeled as a doubly-periodic thin elastic plate with a hexagonal cell having a circular hole at the hexagon center.…

Analysis of PDEs · Mathematics 2025-04-30 Yuri A. Antipov

We investigate the dispersion relation and damping of plasmon modes in a bilayer-monolayer graphene heterostructure with carrier densities and at zero temperature within the random-phase-approximation taking into account the nonhomogeneity…

Mesoscale and Nanoscale Physics · Physics 2017-11-02 Nguyen Van Men , Nguyen Quoc Khanh

We develop the theory for dynamics of the out-of-plane deformations in flexible two-dimensional materials. We focus on study of attenuation of flexural phonons in free-standing crystalline membranes. We demonstrate that the dynamical…

Mesoscale and Nanoscale Physics · Physics 2023-12-08 A. D. Kokovin , I. S. Burmistrov

We have implemented a generic method, based on the 2n+1 theorem within density functional perturbation theory, to calculate the anharmonic scattering coefficients among three phonons with arbitrary wavevectors. The method is used to study…

Materials Science · Physics 2014-06-24 Lorenzo Paulatto , Francesco Mauri , Michele Lazzeri

The design of graphene-based composite with high thermal conductivity requires a comprehensive understanding of phonon coupling in graphene. We extended the two-temperature model to coupled groups of phonon. The study give new physical…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 Meng An , Qichen Song , Xiaoxiang Yu , Han Meng , Dengke Ma , Ruiyang Li , Zelin Jin , Baoling Huang , Nuo Yang
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