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We theoretically investigate Coulomb drag in a system of two parallel monolayers of graphene. Using a Boltzmann equation approach we study a variety of limits ranging from the non-degenerate interaction dominated limit close to charge…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Jonathan Lux , Lars Fritz

We analyze by exact Renormalization Group (RG) methods the infrared properties of an effective model of graphene, in which two-dimensional massless Dirac fermions propagating with a velocity smaller than the speed of light interact with a…

Strongly Correlated Electrons · Physics 2011-01-25 Alessandro Giuliani , Vieri Mastropietro , Marcello Porta

We study transport properties of clean suspended graphene at the Dirac point. In the absence of the electron-electron interaction, the main contribution to resistivity comes from interaction with flexural (out-of-plane deformation) phonons.…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 I. V. Gornyi , V. Yu. Kachorovskii , A. D. Mirlin

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 quasi-2D electrons in graphene behave as massless fermions obeying a Dirac-Weyl equation in the low-energy regime near the two Fermi points. The stability of spin-polarized phases (SPP) in graphene is considered. The exchange energy is…

Strongly Correlated Electrons · Physics 2007-05-23 M. W. C. Dharma-wardana

We theoretically consider, comparing with the existing experimental literature, the electrical conductivity of gated monolayer graphene as a function of carrier density, temperature, and disorder in order to assess the prospects of…

Mesoscale and Nanoscale Physics · Physics 2013-01-28 S. Das Sarma , E. H. Hwang

We consider a screened Coulomb interaction between electrons in graphene and determine their dynamic response functions, such as a longitudinal and a transverse electric conductivity and a polarization function and compare them to the…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 M. Agarwal , E. G. Mishchenko

Many-body effects on quantum capacitance, compressibility, renormalized Fermi velocity, kinetic and interaction energies of massless Dirac electrons in graphene, induced by the Coulomb interactions, are analyzed theoretically in the…

Mesoscale and Nanoscale Physics · Physics 2015-02-24 Yu. E. Lozovik , A. A. Sokolik , A. D. Zabolotskiy

We present a unified understanding of the experimentally observed minimal dc conductivity in weakly disordered graphene. Firstly, based on linear response theory, we reveal that randomness or disorder inevitably induces momentum dependent…

Mesoscale and Nanoscale Physics · Physics 2022-09-13 Weiwei Chen , Yedi Shen , Bo Fu , Qinwei Shi , W. Zhu

For the hopping dynamics in a one-dimensional model, containing energy and barrier disorder, we determine the linear and nonlinear response to an external field for arbitrary external frequencies. The calculation is performed in analytical…

Disordered Systems and Neural Networks · Physics 2013-02-15 Clara Mattner , Bernhard Roling , Andreas Heuer

The electrical conductivity of graphene containing point defects is studied within the binary alloy model in its dependence on the Fermi level position at the zero temperature. It is found that the minimal conductivity value does not have a…

Disordered Systems and Neural Networks · Physics 2015-05-18 Yuriy V. Skrypnyk , Vadim M. Loktev

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

We develop an Effective Medium Theory to study the electrical transport properties of disordered graphene. The theory includes non-linear screening and exchange-correlation effects allowing us to consider experimentally relevant strengths…

Mesoscale and Nanoscale Physics · Physics 2009-06-20 Enrico Rossi , S. Adam , S. Das Sarma

Dynamical conductivity in a disordered one-dimensional model of interacting fermions is studied numerically at high temperatures and in the weak-interaction regime in order to find a signature of many-body localization and vanishing d.c.…

Strongly Correlated Electrons · Physics 2015-05-19 O. S. Barišić , P. Prelovšek

We calculate the chemical potential dependence of the renormalized Fermi velocity and static dielectric function for Dirac quasiparticles in graphene nonperturbatively at finite temperature. By reinterpreting the chemical potential as a…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Christian Fräßdorf , Johannes E. M. Mosig

We calculate the optical (cutoff >> frequency >> temperature) conductivity in clean graphene in the ultimate low-energy regime, when retardation effects of the electromagnetic interaction become important and when the full Lorentz symmetry…

Strongly Correlated Electrons · Physics 2013-06-12 Igor F. Herbut , Vieri Mastropietro

In condensed-matter systems, electrons are subjected to two different interactions under certain conditions. Even if both interactions are weak, it is difficult to perform perturbative calculations due to the complexity caused by the…

Strongly Correlated Electrons · Physics 2022-12-20 Zhao-Kun Yang , Xiao-Yin Pan , Guo-Zhu Liu

In a clean Fermi liquid, due to spin up/spin down symmetry, the dc spin current driven by a magnetic field gradient is finite even in the absence of impurities. Hence, the spin conductivity sigma_s assumes a well-defined collision-dominated…

Strongly Correlated Electrons · Physics 2015-05-20 Markus Mueller , Hai Chau Nguyen

The independence of the dynamic conductivity of intrinsic graphene of frequency takes its origin in the compensation of the vanishing density of states by the diverging matrix element of the corresponding interband transition. The…

Mesoscale and Nanoscale Physics · Physics 2009-12-08 E. G. Mishchenko

We give an update of the situation concerning the effect of electron-electron interactions on the physics of a neutral graphene system at low energies. We revise old renormalization group results and the use of 1/N expansion to address…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Maria A. H. Vozmediano , Francisco Guinea