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Conductivity of a disorder-free intrinsic graphene is studied to the first order in the long-range Coulomb interaction and is found to be \sigma=\sigma_0(1+0.01 g), where 'g' is the dimensionless ("fine structure") coupling constant. The…

Mesoscale and Nanoscale Physics · Physics 2009-02-25 E. G. Mishchenko

The two-loop interaction correction coefficient to the universal ac conductivity of disorder-free intrinsic graphene is computed with the help of a field theoretic renormalization study using the BPHZ prescription. Non-standard Ward…

Mesoscale and Nanoscale Physics · Physics 2018-07-17 S. Teber , A. V. Kotikov

The first-order interaction correction to the irreducible polarization function of pristine graphene is studied at arbitrary relation between momentum and frequency. The results are used to calculate the dielectric function and the…

Mesoscale and Nanoscale Physics · Physics 2012-09-20 Inti Sodemann , Michael M. Fogler

We compute the Coulomb correction $\mathcal{C}$ to the a. c. conductivity of interacting massless Dirac particles in graphene in the collisionless limit using the polarization tensor approach in a regularization independent framework.…

Mesoscale and Nanoscale Physics · Physics 2013-11-11 G. Gazzola , A. L. Cherchiglia , L. A. Cabral , M. C. Nemes , Marcos Sampaio

We argue that the unscreened Coulomb interaction in graphene provides a positive, universal, and logarithmic correction to scaling of zero-temperature conductivity with frequency. The combined effect of the disorder due to wrinkling of the…

Mesoscale and Nanoscale Physics · Physics 2008-01-28 Igor F. Herbut , Vladimir Juricic , Oskar Vafek

We study the electron-electron interaction contribution to the conductivity of two-dimensional In$_{0.2}$Ga$_{0.8}$As electron systems in the diffusion regime over the wide conductivity range, $\sigma\simeq(1-150) G_0$, where…

Strongly Correlated Electrons · Physics 2018-07-11 G. M. Minkov , A. V. Germanenko , O. E. Rut , A. A. Sherstobitov

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

We provide detailed calculation of the a.c. conductivity in the case of 1/r-Coulomb interacting massless Dirac particles in graphene in the collisionless limit when \omega >> T. The analysis of the electron self-energy, current vertex…

Mesoscale and Nanoscale Physics · Physics 2010-12-23 Vladimir Juricic , Oskar Vafek , Igor F. Herbut

We obtain analytic expressions for the conductivity of pristine (pure) graphene in the framework of the Dirac model using the polarization tensor in (2+1)-dimensions defined along the real frequency axis. It is found that at both zero and…

Materials Science · Physics 2016-07-13 G. L. Klimchitskaya , V. M. Mostepanenko

A ballistic strip of graphene (width W>> length L) connecting two normal metal contacts is known to have a minimum conductivity of 4e^{2}/pi h at the Dirac point of charge neutrality. We calculate what happens if one of the two contacts…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 A. R. Akhmerov , C. W. J. Beenakker

Minimal conductivity of a single undoped graphene layer is known to be of the order of the conductance quantum, independent of the electron velocity. We show that this universality does not survive electron-electron interaction which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. G. Mishchenko

The problem of electrostatic screening of a charged line by undoped or weakly doped graphene is treated beyond the linear-response theory. The induced electron density is found to be approximately doping independent, n(x)~(log x)^2/x^2, at…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Bor-Yuan Jiang , Michael M. Fogler

The minimal conductivity of graphene is a quantity measured in the DC limit. It is shown, using the Kubo formula, that the actual value of the minimal conductivity is sensitive to the order in which certain limits are taken. If the DC limit…

Disordered Systems and Neural Networks · Physics 2007-06-19 K. Ziegler

It is a fact that the minimal conductivity $\sigma_0$ of most graphene samples is larger than the well-established universal value for ideal graphene $4e^2/\pi h$; in particular, larger by a factor $\gtrsim\pi$. Despite intense theoretical…

Mesoscale and Nanoscale Physics · Physics 2012-06-29 J. J. Palacios

The effect of electron-electron interaction on the low-temperature conductivity of graphene is investigated experimentally. Unlike in other two-dimensional systems, the electron-electron interaction correction in graphene is sensitive to…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 A. A. Kozikov , A. K. Savchenko , B. N. Narozhny , A. V. Shytov

The aim of this work is to study the electron transport in graphene with impurities by introducing a generalization of linear response theory for linear dispersion relations and spinor wave functions. Current response and density response…

Mesoscale and Nanoscale Physics · Physics 2014-07-28 Juan Sebastian Ardenghi , Pablo Bechthold , Paula Jasen , Estela Gonzalez , Alfredo Juan

Many-body electron-electron interaction effects are theoretically considered in monolayer graphene from a continuum effective field-theoretic perspective by going beyond the standard leading-order perturbative renormalization group (RG)…

Mesoscale and Nanoscale Physics · Physics 2014-07-01 Edwin Barnes , E. H. Hwang , R. E. Throckmorton , S. Das Sarma

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

We investigate interaction effects in transport phenomena in bilayer graphene (BLG). For the minimal conductivity in pristine BLG, we find that the conductivity assumes a constant value in the limit $T\to 0$, with the first correction being…

Mesoscale and Nanoscale Physics · Physics 2013-03-14 Jonathan Lux , Lars Fritz

The optical conductivity of a system of electrons on the honeycomb lattice interacting through an electromagnetic field is computed by truncated exact Renormalization Group (RG) methods. We find that the conductivity has the universal value…

Strongly Correlated Electrons · Physics 2012-09-19 Alessandro Giuliani , Vieri Mastropietro
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