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Electronic band gap and transport in quasi-periodic graphene superlattice of double-periodic sequence have been investigated. It is found that such quasi-periodic structure can possess a zero-averaged wave number (zero-$\bar{k}$) gap which…

Mesoscale and Nanoscale Physics · Physics 2012-11-29 Xi Chen , Pei-Liang Zhao , Qi-Biao Zhu

We derive a fluid-dynamic model for electron transport near a Dirac point in graphene. The derivation is based on the minimum entropy principle, which is exploited in order to close fluid-dynamic equations for quantum mixed states. To this…

Mathematical Physics · Physics 2019-05-27 Nicola Zamponi , Luigi Barletti

Charge carrier transport in single-layer graphene with one-dimensional charged defects is studied theoretically. Extended charged defects, considered an important factor for mobility degradation in chemically-vapor-deposited graphene, are…

Mesoscale and Nanoscale Physics · Physics 2013-08-15 T. M. Radchenko , A. A. Shylau , I. V. Zozoulenko , A. Ferreira

We consider the conductivity $\sigma_{xx}$ of graphene with negligible intervalley scattering at half filling. We derive the effective field theory, which, for the case of a potential disorder, is a symplectic-class $\sigma$-model including…

Mesoscale and Nanoscale Physics · Physics 2007-06-18 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

Due to the chiral nature of the Dirac equation, overlying of an electrical superlattice (SL) can open new Dirac points on the Fermi-surface of the energy spectrum. These lead to novel low-excitation physical phenomena. A typical example for…

Mesoscale and Nanoscale Physics · Physics 2014-05-28 Juergen Dietel , Hagen Kleinert

There is evidence for existence of massless Dirac quasi-particles in graphene, which satisfy Dirac equation in (1+2) dimensions near the so called Dirac points which lie at the corners at the graphene's brilluoin zone. We revisit the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Riazuddin

Graphene two-dimensional nature combined with today lithography allows to achieve nanoelectronics devices smaller than the Dirac electrons wavelength. Here we show that in these graphene subwavelength nanodevices the electronic quantum…

Mesoscale and Nanoscale Physics · Physics 2010-09-08 Pierre Darancet , Valerio Olevano , Didier Mayou

Electron properties of graphene are described in terms of Dirac fermions. Here we thoroughly outline the elastic scattering theory for the two-dimensional massive Dirac fermions in the presence of an axially symmetric potential. While the…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 D. S. Novikov

We present a comparative study of the density dependence of the conductivity of graphene sheets calculated in the tight-binding (TB) Landauer approach and on the basis of the Boltzmann theory. The TB calculations are found to give the same…

Mesoscale and Nanoscale Physics · Physics 2010-09-02 J. W. Klos , I. V. Zozoulenko

The electrons in graphene for energies close to the Dirac point have been found to form strongly interacting fluid. Taking this fact into account we have extended previous work on the transport properties of graphene by taking into account…

High Energy Physics - Theory · Physics 2018-03-14 Marek Rogatko , Karol. I. Wysokinski

The conductance of ballistic graphene at the neutrality point is due to coherent electron tunneling between the leads, the so called pseudodiffusive regime. The conductance scales as function of the sample dimensions in the same way as in a…

Mesoscale and Nanoscale Physics · Physics 2014-09-17 F. Guinea , M. I. Katsnelson

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

The semi-classical Bloch-Boltzmann theory is at the heart of our understanding of conduction in solids, ranging from metals to semi-conductors. Physical systems that are beyond the range of applicability of this theory are thus of…

Materials Science · Physics 2009-04-10 G. Trambly de Laissardière , J. P. Julien , D. Mayou

We study transport in undoped graphene in the presence of a superlattice potential both within a simple continuum model and using numerical tight-binding calculations. The continuum model demonstrates that the conductivity of the system is…

Mesoscale and Nanoscale Physics · Physics 2011-05-31 P. Burset , A. Levy Yeyati , L. Brey , H. A. Fertig

We discuss the residual carrier density (n*) near the Dirac point (DP) in graphene estimated by quantum capacitance (CQ) and conductivity measurements. The CQ at the DP has a finite value and is independent of the temperature. A similar…

Materials Science · Physics 2013-07-04 K. Nagashio , T. Nishimura , A. Toriumi

We investigate the conductivity of doped graphene in the semiclassical Boltzmann limit, as well as the conductivity minimum within the self-consistent transport theory. Using the hard-disk model for a two-dimensional distribution of…

Materials Science · Physics 2013-11-21 Rastko Aničić , Zoran L. Mišković

We study the electron transport through a graphene nanoribbon-superconductor junction. Both zigzag and armchair edge graphene nanoribbons are considered, and the effects of the magnetic field and disorder on the transport property are…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Qing-feng Sun , X. C. Xie

We consider the relationship between the tight-binding Hamiltonian of the two-dimensional honeycomb lattice of carbon atoms with nearest neighbor hopping only and the 2+1 dimensional Hamiltonian of quantum electrodynamics which follows in…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 V. P. Gusynin , S. G. Sharapov , J. P. Carbotte

We present an effective hydrodynamic theory of electronic transport in graphene in the interaction-dominated regime. We derive the emergent hydrodynamic description from the microscopic Boltzmann kinetic equation taking into account…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 U. Briskot , M. Schütt , I. V. Gornyi , M. Titov , B. N. Narozhny , A. D. Mirlin

The conductivity of armchair graphene nanoribbons in the presence of short-range impurities and edge roughness is studied theoretically using the Boltzmann transport equation for quasi-one-dimensional systems. As the number of occupied…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Hengyi Xu , Thomas Heinzel
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