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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 employ electrostatic force microscopy to study the electrostatic environment of graphene sheets prepared with the micro-mechanical exfoliation technique. We detect the electric dipole of residues left from the adhesive tape during…

Other Condensed Matter · Physics 2009-11-13 J. Moser , A. Verdaguer , D. Jimenez , A. Barreiro , A. Bachtold

Graphene has been intensively studied in photovoltaics focusing on emerging solar cells based on thin films, dye-sensitized, quantum dots, nanowires, etc. However, the typical efficiency of these solar cells incorporating graphene are below…

In our previous work (E. Kogan, Phys. Rev. B {\bf 84}, 115119 (2011)) we calculated RKKY interaction between two magnetic impurities in pristine graphene using the Green's functions (GF) in the coordinate -- imaginary time representation.…

Mesoscale and Nanoscale Physics · Physics 2013-01-29 E. Kogan

A transfer matrix method is developed for optical calculations of non-interacting graphene layers. Within the framework of this method, optical properties such as reflection, transmission and absorption for single-, double- and multi-layer…

Mesoscale and Nanoscale Physics · Physics 2013-05-10 Tianrong Zhan , Xi Shi , Yunyun Dai , Xiaohan Liu , Jian Zi

Screened plasmon properties of graphene near a perfect electric conductor are investigated using classical electrodynamics and a linearized hydrodynamic model that includes Fermi correction. A general expression for the dispersion relation…

Optics · Physics 2023-08-08 Afshin Moradi , Nurhan Turker Tokan

The adsorption energies and orientation of methanol on graphene are determined from first-principles density functional calculations. We employ the well-tested vdW-DF method that seamlessly includes dispersion interactions with all of the…

Materials Science · Physics 2013-03-18 Elsebeth Schroder

The Chalker-Coddington network model (introduced originally as a model for percolation in the quantum Hall effect) is known to map onto the two-dimensional Dirac equation. Here we show how the network model can be used to solve a scattering…

Mesoscale and Nanoscale Physics · Physics 2008-09-17 I. Snyman , J. Tworzydlo , C. W. J. Beenakker

We show that the work function of exfoliated single layer graphene can be modified by irradiation with swift (E_{kin}=92 MeV) heavy ions under glancing angles of incidence. Upon ion impact individual surface tracks are created in graphene…

Materials Science · Physics 2015-06-12 O. Ochedowski , B. Kleine Bussmann , B. Ban d'Etat , H. Lebius , M. Schleberger

An analytical circuit model able to predict the input impedance of reconfigurable graphene plasmonic dipoles is presented. A suitable definition of plasmonic characteristic impedance, employing natural currents, is used to for consistent…

Optics · Physics 2015-06-18 Michele Tamagnone , Julien Perruisseau-Carrier

Dipolar interactions govern the structure and dynamics of many soft-matter systems, from molecular to colloids assemblies. When dipole moments are induced by an external field, mutual interactions lead to a many-body magnetization response…

Soft Condensed Matter · Physics 2026-01-30 Lucas H. P. Cunha

This article aims at providing a self-contained introduction to theoretical modeling of gate-induced carrier density in graphene sheets. For this, relevant theories are introduced, namely, classical capacitance model (CCM), self-consistent…

Mesoscale and Nanoscale Physics · Physics 2013-06-18 Ming-Hao Liu

An analytical description of polymer melts and their mixtures as liquids of interacting soft colloidal particles is obtained from liquid-state theory. The derived center-of-mass pair correlation functions with no adjustable parameters…

Soft Condensed Matter · Physics 2009-11-10 G. Yatsenko , E. J. Sambriski , M. A. Nemirovskaya , M. Guenza

Dirac energy-dispersions are responsible of the extraordinary transport properties of graphene. This motivated the quest for engineering such energy dispersions also in photonics, where they have been predicted to lead to many exciting…

Mesoscale and Nanoscale Physics · Physics 2023-12-05 Erik P. Navarro-Barón , Herbert Vinck-Posada , Alejandro González-Tudela

Molecular dynamics simulations at a constant electric potential are an essential tool to study electrochemical processes, providing microscopic information on the structural, thermodynamic, and dynamical properties. Despite the numerous…

Synthesis of graphene with reduced use of chemical reagents is essential for manufacturing scale-up and to control its structure and properties. In this paper, we report on a novel chemical-free mechanism of graphene exfoliation from…

We calculate the linear transverse current current response function for graphene at finite temperature and chemical potential. Within the Random Phase Approximation, we then discuss general aspects of transverse plasmons beyond the local…

Mesoscale and Nanoscale Physics · Physics 2013-12-12 A. Gutiérrez-Rubio , T. Stauber , F. Guinea

Thermal properties of graphene monolayers are studied by path-integral molecular dynamics (PIMD) simulations, which take into account the quantization of vibrational modes in the crystalline membrane, and allow one to consider anharmonic…

Materials Science · Physics 2017-09-18 Carlos P. Herrero , Rafael Ramirez

We employ dual-gated 30{\deg}-twisted bilayer graphene to demonstrate simultaneous ultra-high mobility and conductivity (up to 40 mS at room temperature), unattainable in a single-layer of graphene. We find quantitative agreement with a…

Mesoscale and Nanoscale Physics · Physics 2022-01-12 Giulia Piccinini , Vaidotas Mišeikis , Kenji Watanabe , Takashi Taniguchi , Camilla Coletti , Sergio Pezzini

We study the electromagnetic properties of a metamaterial consisting of polarizable (nano)particles and a single graphene sheet placed at the interface between two dielectrics. We show that the particle's polarizability is renormalized…

Mesoscale and Nanoscale Physics · Physics 2015-06-09 Jaime E. Santos , M. I. Vasilevskiy , N. M. R. Peres , G. Smirnov , Yu. V. Bludov