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We compare three models of graphene electric conductivity: a non-local Kubo model, a local model derived by Falkovsky, and finally, a non-local quantum field theory (QFT) polarization-based model. These models are supposed to provide…

Mesoscale and Nanoscale Physics · Physics 2025-03-28 Pablo Rodriguez-Lopez , Jian-Sheng Wang , Mauro Antezza

We compute the optical conductivity of graphene beyond the usual Dirac cone approximation, giving results that are valid in the visible region of the conductivity spectrum. The effect of next nearest neighbor hoping is also discussed. Using…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 T. Stauber , N. M. R. Peres , A. K. Geim

We model the low energy dynamics of graphene in the continuum in terms of a version of Reduced Quantum Electrodynamics restricting fermions to a (2+1)-dimensional brane, whilst photons remain within the (3+1)-dimensional bulk. For charge…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 Saúl Hernández-Ortiz , David Valenzuela , Alfredo Raya , Saúl Sánchez-Madrigal

The complete theory of electrical conductivity of graphene at arbitrary temperature is developed with taken into account mass-gap parameter and chemical potential. Both the in-plane and out-of-plane conductivities of graphene are expressed…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 G. L. Klimchitskaya , V. M. Mostepanenko , V. M. Petrov

Motivated by a recent experiment reporting on the possible application of graphene as sensors, we calculate transport properties of 2D graphene monolayers in the presence of adsorbed molecules. We find that the adsorbed molecules, acting as…

Mesoscale and Nanoscale Physics · Physics 2007-11-16 E. H. Hwang , S. Adam , S. Das Sarma

Recently, modulation of the energy bandgap of graphene when gas molecules are adsorbed to its surface has been proved to be possible. Motivated by this, based on numerical calculations, we investigate the effect of the associated bandgap…

Mesoscale and Nanoscale Physics · Physics 2021-11-22 D. Jahani , O. Akhavan , A. Alidoust Ghatar , W. Fritzsche , F. Garwe

Using the Kubo formula we develop a general and simple expression for the minimal conductivity in systems described by a two by two Hamiltonian. As an application we derive an analytical expression for the minimal conductivity tensor of…

Mesoscale and Nanoscale Physics · Physics 2012-01-09 Gyula Dávid , Péter Rakyta , László Oroszlány , József Cserti

Employing tight-binding model we investigate the effects of a uniform Y-shaped Kekule lattice distortion on the electronic spectrum and optical conductivity of graphene. We derive a low-energy effective Hamiltonian which is found to be in…

Mesoscale and Nanoscale Physics · Physics 2023-01-03 Yawar Mohammadi

We investigate the minimum conductivity of graphene within a quasiclassical approach taking into account electron-hole coherence effects which stem from the chiral nature of low energy excitations. Relying on an analytical solution of the…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 Maxim Trushin , John Schliemann

We carry out an explicit calculation of the vacuum polarization tensor for an effective low-energy model of monolayer graphene in the presence of a weak magnetic field of intensity $B$ perpendicularly aligned to the membrane. By expanding…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 David Valenzuela , Saúl Hernández-Ortiz , Marcelo Loewe , Alfredo Raya

We investigate the superconducting proximity effect through graphene in the long diffusive junction limit, at low and high magnetic field. The interface quality and sample phase coherence lead to a zero resistance state at low temperature,…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Katsuyoshi Komatsu , Chuan Li , S. Autier-Laurent , H. Bouchiat , S. Gueron

Graphene's near-field radiative heat transfer is determined from its electrical conductivity, commonly modeled using the local Kubo and Drude formulas. In this letter, we analyze the non-locality of graphene's electrical conductivity using…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 Saman Zare , Behrad Zeinali Tajani , Sheila Edalatpour

We demonstrate proof-of-concept graphene sensors for environmental monitoring of ultra-low concentration NO2 in complex environments. Robust detection in a wide range of NO2 concentrations, 10-154 ppb, was achieved, highlighting the great…

Instrumentation and Detectors · Physics 2018-08-30 Christos Melios , Vishal Panchal , Kieran Edmonds , Arseniy Lartsev , Rositsa Yakimova , Olga Kazakova

We study the influence of different kinds of gaps in a quasiparticle spectrum on longitudinal and transverse optical conductivities of bilayer graphene. An exact analytical expression for magneto-optical conductivity is derived using a…

Strongly Correlated Electrons · Physics 2012-08-08 E. V. Gorbar , V. P. Gusynin , A. B. Kuzmenko , S. G. Sharapov

The single-band current-dipole Kubo formula for the dynamical conductivity of heavily doped graphene from Kup\v{c}i\'{c} [Phys. Rev. B 91, 205428 (2015)] is extended to a two-band model for conduction $\pi$ electrons in lightly doped…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 I. Kupčić , G. Nikšić , Z. Rukelj , D. Pelc

Using a semi-classical approach and input from experiments on the conductivity of graphene, we determine the electronic density dependence of the electronic transport coefficients -- conductivity, thermal conductivity and thermopower -- of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. M. R. Peres , J. M. B. Lopes dos Santos , T. Stauber

Optical conductivity of graphene is studied using Quantum Monte Carlo calculations. We start from Euclidean current-current correlator and extract $\sigma (\omega)$ from Green-Kubo relations using Backus-Gilbert method. Calculations were…

Strongly Correlated Electrons · Physics 2016-08-23 D. L. Boyda , V. V. Braguta , M. I. Katsnelson , M. V. Ulybyshev

Reflectance and transmittance of graphene in the optical region are analyzed as a function of frequency, temperature, and carrier density. We show that the optical graphene properties are determined by the direct interband electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 L. A. Falkovsky

In the Comment by Bordag et al. [Phys. Rev. B 113, 207401 (2026) and ArXiv:2506.10792], concerns are raised regarding the validity of the results presented in [Phys. Rev. B 111, 115428 (2025)], where the theoretical descriptions of the…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Pablo Rodriguez-Lopez , Jian-Sheng Wang , Mauro Antezza

We report significant changes of optical conductivity in single layer graphene induced by mild oxygen plasma exposure, and explore the interplay between carrier doping, disorder, and many-body interactions from their signatures in the…