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Graphene is a two dimensional crystal of carbon atoms with fascinating electronic and morphological properties. The low energy excitations of the neutral, clean system are described by a massless Dirac Hamiltonian in (2+1) dimensions which…

Strongly Correlated Electrons · Physics 2011-07-28 Maria A. H. Vozmediano

We obtained exact solutions for the wave function and the Green function in the slow light pulse with the group velocity, consistent with the Fermi velocity in graphene.

Optics · Physics 2016-07-18 P. A. Golovinski , V. A. Astapenko , A. V. Yakovets

Low-energy single-electron dynamics in graphene monolayers and similar nanostructures is described by the Dirac model, being a 2+1 dimensional version of massless QED with the speed of light replaced by the Fermi velocity v_{F}=c/300.…

Mesoscale and Nanoscale Physics · Physics 2017-04-18 S. P. Gavrilov , D. M. Gitman

Using the quasiparticle self-consistent GW (QSGW) and local-density (LD) approximations, we calculate the q-dependent static dielectric function, and derive an effective 2D dielectric function corresponding to screening of point charges. In…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. van Schilfgaarde , M. I. Katsnelson

Motivated by the physics of graphene, we consider a model of N species of 2+1 dimensional four-component massless Dirac fermions interacting through a 3D instantaneous Coulomb interaction. We show that in the limit of infinitely strong…

Strongly Correlated Electrons · Physics 2007-07-11 D. T. Son

Transport properties of strongly correlated materials have contributions from quasiparticle excitations such as electrons and holes as well as emerging collective excitations such as sounds and plasmons which are sustained by interactions.…

Mesoscale and Nanoscale Physics · Physics 2025-12-24 Maksim Ulybyshev , Adrien Reingruber , Kitinan Pongsangangan

A brief account of the zero temperature magnetic response of a system of strongly correlated electrons in strong magnetic field is given in terms of its quasiparticle properties. The scenario is based on the paramagnetic phase of the…

Strongly Correlated Electrons · Physics 2009-11-13 Johannes Bauer

We study Coulomb drag in a system consisting of a carbon nanotube (CNT) and monolayer graphene. Within the Fermi liquid theory we calculate the drag resistivity and find that the dimensional mismatch of the system components leads to a…

Mesoscale and Nanoscale Physics · Physics 2020-02-05 S. M. Badalyan , A. P. Jauho

We demonstrate terahertz time-domain spectroscopy (THz-TDS) to be an accurate, rapid and scalable method to probe the interaction-induced Fermi velocity renormalization {\nu}F^* of charge carriers in graphene. This allows the quantitative…

Advances in infrared nanoscopy have enabled access to the finite momentum optical conductivity $\sigma(\vec{q},\omega)$. The finite momentum optical conductivity in graphene has a peak at the Dirac fermion quasiparticle energy…

Mesoscale and Nanoscale Physics · Physics 2012-10-17 Phillip E. C. Ashby , J. P. Carbotte

A-B stacked bilayer graphene has massive electron and hole-like excitations with zero gap in the nearest-neighbor hopping approximation. In equilibrium, the quasiparticle occupation approximately follows the usual Fermi-Dirac distribution.…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Dung X. Nguyen , Glenn Wagner , Steven H. Simon

We generalize the application of the functional renormalization group (fRG) method for the fermionic flow into the symmetry-broken phase to finite temperatures. We apply the scheme to the case of a broken discrete symmetry: the…

Strongly Correlated Electrons · Physics 2009-09-29 Roland Gersch , Carsten Honerkamp , Daniel Rohe , Walter Metzner

We address the problem of an unscreened Coulomb charge in graphene, and calculate the local density of states and displaced charge as a function of energy and distance from the impurity. This is done non-perturbatively in two different…

Strongly Correlated Electrons · Physics 2007-10-17 Vitor M. Pereira , Johan Nilsson , A. H. Castro Neto

In this article, we investigate the temperature and chemical potential dependence of the optical conductivity of graphene, within a field theoretical representation in the continuum approximation, arising from an underlying tight-binding…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Horacio Falomir , Enrique Muñoz , Marcelo Loewe , Renato Zamora

The flow of charge carriers in materials can, under some circumstances, mimic the flow of viscous fluids. In order to visualize the consequences of such effects, new methodologies must be developed that can probe the quasiparticle flow…

Mesoscale and Nanoscale Physics · Physics 2023-02-24 Zachary J. Krebs , Wyatt A. Behn , Songci Li , Keenan J. Smith , Kenji Watanabe , Takashi Taniguchi , Alex Levchenko , Victor W. Brar

Motivated by a number of recent experimental studies, we have carried out the microscopic calculation of the quasiparticle self-energy and spectral function in a doped graphene when a symmetry breaking of the sublattices is occurred. Our…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Alireza Qaiumzadeh , Reza Asgari

Recently a formulation of overlap fermions at finite density based on an analytic continuation of the sign function was proposed. We study this proposal by analyzing the energy and number densities for free fermions as a function of the…

High Energy Physics - Lattice · Physics 2009-04-16 Christof Gattringer , Ludovit Liptak

We derive some fluid-dynamic models for electron transport near a Dirac point in graphene. We start from a kinetic model constituted by a set of spinorial Wigner equations, we make suitable scalings (hydrodynamic or diffusive) of the model…

Mathematical Physics · Physics 2019-05-27 Nicola Zamponi

We study the electronic and transport properties of a graphene-based superlattice theoretically by using an effective Dirac equation. The superlattice consists of a periodic potential applied on a single-layer graphene deposited on a…

Mesoscale and Nanoscale Physics · Physics 2015-02-26 Jonas R. F. Lima

We study a recently proposed formulation of overlap fermions at finite density. In particular we compute the energy density as a function of the chemical potential and the temperature. It is shown that overlap fermions with chemical…

High Energy Physics - Lattice · Physics 2008-11-26 Christof Gattringer , Ludovit Liptak
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