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Motivated by recent graphene transport experiments, we have undertaken a numerical study of the conductivity of disordered two-dimensional massless Dirac fermions. Our results reveal distinct differences between the cases of short-range and…

Mesoscale and Nanoscale Physics · Physics 2008-06-30 Kentaro Nomura , A. H. MacDonald

The interplay between distinct carrier species in systems with broken Galilean invariance gives rise to a rich landscape of interaction-driven transport phenomena. Here, we develop a comprehensive theory for the electrical conductivity of a…

Mesoscale and Nanoscale Physics · Physics 2026-04-10 Yuping Huang , O. V. Kibis , V. M. Kovalev , I. G. Savenko

Transmission of Dirac fermions through a chip of graphene under the effect of magnetic field and a time vibrating double barrier with frequency $w$ is investigated. Quantum interference within the oscillating barrier has an important effect…

Mesoscale and Nanoscale Physics · Physics 2015-03-05 Miloud Mekkaoui , El Bouâzzaoui Choubabi , Ahmed Jellal , Hocine Bahlouli

The diffusion of electron-hole pairs, which are excited in an intrinsic graphene by the ultrashort focused laser pulse in mid-IR or visible spectral region, is described for the cases of peak-like or spread over the passive region…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 F. T. Vasko , V. V. Mitin

The electron-hole plasma in charge-neutral graphene is predicted to realize a quantum critical system whose transport features a universal hydrodynamic description, even at room temperature. This quantum critical "Dirac fluid" is expected…

The behavior of electrons in strained graphene is usually described using effective pseudomagnetic fields in a Dirac equation. Here we consider the particular case of a spatially constant strain. Our results indicate that lattice…

Mesoscale and Nanoscale Physics · Physics 2013-09-10 M. Oliva-Leyva , G. G. Naumis

Heating of carriers in an intrinsic graphene under dc electric field is considered taking into account the intraband energy relaxation due to acoustic phonon scattering and the interband generation-recombination transitions due to thermal…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 O. G. Balev , F. T. Vasko , V. Ryzhii

A generalized Dirac equation is derived in order to describe charge carriers moving in corrugated graphene, which is the case for temperatures above 10{\deg}K due to the presence of flexural phonons. Such interaction is taken into account…

Materials Science · Physics 2015-10-12 Richard Kerner , Gerardo Naumis

We report on transport characteristics of quantum dot devices etched entirely in graphene. At large sizes, they behave as conventional single-electron transistors, exhibiting periodic Coulomb blockade peaks. For quantum dots smaller than…

Mesoscale and Nanoscale Physics · Physics 2008-04-18 L. A. Ponomarenko , F. Schedin , M. I. Katsnelson , R. Yang , E. H. Hill , K. S. Novoselov , A. K. Geim

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

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

The low energy excitations of graphene can be described by a massless Dirac equation in two spacial dimensions. Curved graphene is proposed to be described by coupling the Dirac equation to the corresponding curved space. This covariant…

Strongly Correlated Electrons · Physics 2009-11-13 Maria A. H. Vozmediano , Fernando de Juan , Alberto Cortijo

We employ the tight-binding propagation method to study Klein tunneling and quantum interference in large graphene systems. With this efficient numerical scheme, we model the propagation of a wave packet through a potential barrier and…

Mesoscale and Nanoscale Physics · Physics 2015-01-27 R. Logemann , K. J. A. Reijnders , T. Tudorovskiy , M. I. Katsnelson , Shengjun Yuan

In this article, we investigate the effect of next-to-the-nearest atom hopping on Klein tunnelling in graphene. An effective quantum dynamics equation is obtained based on an emergent generalized Dirac structure by analyzing the…

Mesoscale and Nanoscale Physics · Physics 2022-04-14 Naveed Ahmad Shah , Alonso Contreras-Astorga , François Fillion-Gourdeau , M. A. H Ahsan , Steve MacLean , Mir Faizal

A mathematical formulation for particle states and electronic properties of a curved graphene sheet is provided, exploiting a massless Dirac spectrum description for charge carriers living in a curved bidimensional background. In…

High Energy Physics - Theory · Physics 2021-01-11 Antonio Gallerati

The full counting statistics of the charge transport through an undoped graphene sheet in the presence of smooth disorder is studied. At the Dirac point both in clean and diffusive limits, transport properties of a graphene sample are…

Mesoscale and Nanoscale Physics · Physics 2010-10-11 A. Schuessler , P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

The dynamics of low energy electrons in general static strained graphene surface is modelled mathematically by the Dirac equation in curved space-time. In Cartesian coordinates, a parametrization of the surface can be straightforwardly…

Computational Physics · Physics 2021-01-27 F. Fillion-Gourdeau , E. Lorin , S. MacLean

We present a theory of the finite temperature thermo-electric response functions of graphene, in the hydrodynamic regime induced by electron-electron collisions. In moderate magnetic fields, the Dirac particles undergo a collective…

Strongly Correlated Electrons · Physics 2008-11-07 Markus Mueller , Subir Sachdev

Ultraclean graphene at charge neutrality hosts a quantum critical Dirac fluid of interacting electrons and holes. Interactions profoundly affect the charge dynamics of graphene, which is encoded in the properties of its electron-photon…

The dynamical conductivity of interacting multiband electronic systems derived in Ref.[1] is shown to be consistent with the general form of the Ward identity. Using the semiphenomenological form of this conductivity formula, we have…

Mesoscale and Nanoscale Physics · Physics 2015-01-09 I. Kupcic