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The next-nearest neighbor hopping term t' determines a magnitude and, hence, importance of several phenomena in graphene, which include self-doping due to broken bonds and the Klein tunneling that in the presence of t' is no longer perfect.…

We calculate the conductivity of arbitrarily stacked multilayer graphene sheets within a relaxation time approximation, considering both short-range and long-range impurities. We theoretically investigate the feasibility of identifying the…

Mesoscale and Nanoscale Physics · Physics 2011-05-20 Hongki Min , Parakh Jain , S. Adam , M. D. Stiles

Pristine graphene and graphene-based heterostructures exhibit exceptionally high electron mobility and conductance if their surface contains few electron-scattering impurities. Here, we reveal a universal connection between graphene's…

Screening of charge impurities in graphene is analyzed using the exact solution for vacuum polarization obtained from the massless Dirac-Kepler problem. For the impurity charge below certain critical value no density perturbation is found…

Mesoscale and Nanoscale Physics · Physics 2007-12-09 A. V. Shytov , M. I. Katsnelson , L. S. Levitov

We consider an effect of weak impurities on electronic properties of graphene within the functional renormalization-group approach. The energy dependences of the electronic self-energy and density of states near the neutrality point are…

Strongly Correlated Electrons · Physics 2013-12-10 A. Katanin

For a system of localised electron states the DC conductivity vanishes at zero temperature, but localised electrons can conduct at finite temperature. Mott gave a theory for the low-temperature conductivity in terms of a variable-range…

Disordered Systems and Neural Networks · Physics 2009-11-13 B. Mehlig , M. Wilkinson

The next-nearest neighbor interaction (NNN) is included in a tight-binding calculation of the electronic spectrum and conductivity of doped graphene. As a result, we observe a wide variation of the conductivity behavior, since the Fermi…

Materials Science · Physics 2015-10-12 J. E. Barrios-Vargas , Gerardo G Naumis

Spectral and transport properties of doped (or gated) graphene with long range charged impurities are discussed within the self-consistent Born approximation. It is shown how, for impurity concentrations $n_{imp}\gtrsim n$ a finite DOS…

Mesoscale and Nanoscale Physics · Physics 2011-06-13 Fernando de Juan , Euyheon H. Hwang , Maria A. H. Vozmediano

There is an increasing amount of literature concerning electronic properties of graphene close to the neutrality point. Many experiments continue using the two-probe geometry or invasive contacts or do not control samples' macroscopic…

Mesoscale and Nanoscale Physics · Physics 2010-08-27 P. Blake , R. Yang , S. V. Morozov , F. Schedin , L. A. Ponomarenko , A. A. Zhukov , I. V. Grigorieva , K. S. Novoselov , A. K. Geim

The electronic energy spectrum of graphene electron subjected to a homogeneous magnetic field in the presence of a charged Coulomb impurity is studied analytically within two-dimensional Dirac-Weyl picture by using variational approach. The…

Mesoscale and Nanoscale Physics · Physics 2010-05-21 B. S. Kandemir , A. Mogulkoc

We calculate the temperature dependent conductivity of graphene in the presence of randomly distributed Coulomb impurity charges arising from the temperature dependent screening of the Coulomb disorder without any phonons. The purely…

Mesoscale and Nanoscale Physics · Physics 2009-05-22 E. H. Hwang , S. Das Sarma

Bound and resonance electronic states in impure graphene are studied. Short-range perturbations for defects and impurities of the types "local chemical potential" and "local gap" are taken into account. Zero gap and non-zero gap kinds of…

Mesoscale and Nanoscale Physics · Physics 2009-05-25 Natalie E. Firsova , Sergey A. Ktitorov , Philip A. Pogorelov

We theoretically study the local density of states in superconducting proximity structure where two superconducting terminals are attached to a side surface of a normal-metal wire. Using the quasiclassical Green's function method, the…

Superconductivity · Physics 2019-07-24 Shu-Ichiro Suzuki , Alexander A. Golubov , Yasuhiro Asano , Yukio Tanaka

The electronic properties of low-dimensional materials can be engineered by doping, but in the case of graphene nanoribbons (GNR) the proximity of two symmetry-breaking edges introduces an additional dependence on the location of an…

Mesoscale and Nanoscale Physics · Physics 2010-10-05 S. R. Power , V. M. de Menezes , S. B. Fagan , M. S. Ferreira

Graphene has opened new avenues of research in quantum transport, with potential applications for coherent electronics. Coherent transport depends sensitively on scattering from microscopic disorder present in graphene samples: electron…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Jesse Berezovsky , Robert M Westervelt

We study fluctuations of the conductance of micron-sized graphene devices as a function of the Fermi energy and magnetic field. The fluctuations are studied in combination with analysis of weak localization which is determined by the same…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 D. W. Horsell , A. K. Savchenko , F. V. Tikhonenko , K. Kechedzhi , I. V. Lerner , V. I. Fal'ko

We consider a double-layer system made of two parallel bilayer graphene sheets separated by a dielectric medium. We calculate the finite-temperature electrical conductivity of the first layer due to charged impurities located in two layers.…

Mesoscale and Nanoscale Physics · Physics 2021-03-09 Dang Khanh Linh , Nguyen Quoc Khanh

In this paper we systemically study the optical conductivity and density of states of disorded graphene beyond the Dirac cone approximation. The optical conductivity of graphene is computed by using the Kubo formula, within the framework of…

Mesoscale and Nanoscale Physics · Physics 2011-11-08 Shengjun Yuan , Rafael Roldán , Hans De Raedt , Mikhail I. Katsnelson

Unique electronic band structure of graphene with its semi-metallic features near the charge neutrality point is sensitive to impurity effects. Using the Lifshitz and Anderson impurity models, we study in detail the disorder induced…

Mesoscale and Nanoscale Physics · Physics 2020-10-21 Yuriy G. Pogorelov , Vadim M. Loktev , Denis Kochan

The dynamical conductivity of interacting multiband electronic systems derived in Ref.[1] is shown to be consistent with the general form of the Ward identity. Using the semiphenomenological form of this conductivity formula, we have…

Mesoscale and Nanoscale Physics · Physics 2015-01-09 I. Kupcic
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