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We discuss the effect of disorder on the band gap measured in bilayer graphene in optical and transport experiments. By calculating the optical conductivity and density of states using a microscopic model in the presence of disorder, we…

Mesoscale and Nanoscale Physics · Physics 2011-07-26 Hongki Min , D. S. L. Abergel , E. H. Hwang , S. Das Sarma

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

A Kubo formalism is used to calculate the electronic and optical conductivity of a graphene superlattice with Y-shaped kekul\'e bond texture, similar to that visualized in recent experiments. We show that new conduction channels between the…

Mesoscale and Nanoscale Physics · Physics 2020-05-18 Saúl A. Herrera , Gerardo G. Naumis

The electronic and optical conductivities for anisotropic tilted Dirac semimetals are calculated using the Kubo formula. As in graphene, it is shown that the minimal conductivity is sensitive to the order in which the temperature, frequency…

Mesoscale and Nanoscale Physics · Physics 2019-11-22 Saúl A. Herrera , Gerardo G. Naumis

We develop a first-principles theory of resonant impurities in graphene and show that a broad range of typical realistic impurities leads to the characteristic sublinear dependence of the conductivity on the carrier concentration. By means…

Mesoscale and Nanoscale Physics · Physics 2010-07-30 T. O. Wehling , S. Yuan , A. I. Lichtenstein , A. K. Geim , M. I. Katsnelson

The chapter combines analytical (statistical-thermodynamic and kinetic) with numerical (Kubo-Greenwood-formalism-based) approaches used to ascertain an influence of the configurations of point (impurities, vacancies) and line (grain…

Mesoscale and Nanoscale Physics · Physics 2014-06-04 T. M. Radchenko , V. A. Tatarenko , I. Yu. Sagalianov , Yu. I. Prylutskyy

We calculate theoretically the optical conductivity in the bilayer graphene by considering Kubo-Green-Matsubara formalism. Different regimes of the interlayer coupling parameter have been considered in the paper. We show that the excitonic…

Strongly Correlated Electrons · Physics 2019-01-30 V. Apinyan , T. K. Kopeć

We investigate the effect of hydrogen coverage on the optical conductivity of single-side hydrogenated graphene from first principles calculations. To account for different degrees of uniform hydrogen coverage we calculate the complex…

Materials Science · Physics 2015-06-17 Sebastian Putz , Martin Gmitra , Jaroslav Fabian

We perform a detailed analysis of electronic polarizability of graphene with different theoretical approaches. From Kubo's linear response formalism, we give a general expression of frequency and wave-vector dependent polarizability within…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Tao Zhu , Mauro Antezza , Jian-Sheng Wang

We show that the optical transparency of suspended graphene is defined by the fine structure constant, alpha, the parameter that describes coupling between light and relativistic electrons and is traditionally associated with quantum…

Mesoscale and Nanoscale Physics · Physics 2008-06-08 R. R. Nair , P. Blake , A. N. Grigorenko , K. S. Novoselov , T. J. Booth , T. Stauber , N. M. R. Peres , A. K. Geim

We present a detailed numerical study of the electronic transport properties of bilayer and trilayer graphene within a framework of single-electron tight-binding model. Various types of disorder are considered, such as resonant (hydrogen)…

Mesoscale and Nanoscale Physics · Physics 2011-01-04 Shengjun Yuan , Hans De Raedt , Mikhail I. Katsnelson

We theoretically revisit graphene transport properties as a function of carrier density, taking into account possible correlations in the spatial distribution of the Coulomb impurity disorder in the environment. We find that the charged…

Mesoscale and Nanoscale Physics · Physics 2011-10-06 Qiuzi Li , E. H. Hwang , E. Rossi , S. Das Sarma

When a bilayer of graphene is placed in a suitably configured field effect device, an asymmetry gap can be generated and the carrier concentration made different in each layer. This provides a tunable semiconducting gap, and the valence and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. J. Nicol , J. P. Carbotte

The carriers in graphene tuned close to the Dirac point envisage signatures of the strongly interacting fluid and are subject to hydrodynamic description. The important question is whether strong disorder induces the metal-insulator…

High Energy Physics - Theory · Physics 2020-03-18 Marek Rogatko , Karol I. Wysokinski

The interband and intraband conductivities of doped graphene were theoretically investigated beyond the linear response. The new dependences of induced currents on frequency and amplitude of external electric field, the graphene temperature…

Mesoscale and Nanoscale Physics · Physics 2013-08-19 B. M. Ruvinskii , M. A. Ruvinskii

We consider the dynamics of charge carriers in single-layer graphene that are subject to random temporal fluctuations of their mass gap. The optical conductivity is calculated by incorporating the quantum-stochastic time evolution into the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 J. Z. Bernád

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 nonlinear magneto-optic responses are investigated for gapped graphene and doped graphene in a perpendicular magnetic field. The electronic states are described by Landau levels, and the electron dynamics in an optical field is obtained…

Materials Science · Physics 2018-03-21 J. L. Cheng , C. Guo

Within a Kubo formalism, we calculate the absorptive part of the dynamic longitudinal conductivity $\sigma(\Omega)$ of a 2D semi-Dirac material. In the clean limit, we provide separate analytic formulas for intraband (Drude) and interband…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 J. P. Carbotte , K. R. Bryenton , E. J. Nicol

We provide an updated study of some electronic properties of graphene nanoscrolls, exploiting a related curved space Dirac equation for the charge carriers. To this end, we consider an explicit parametrization in cylindrical coordinates,…

High Energy Physics - Theory · Physics 2022-05-19 Antonio Gallerati