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Charge carriers of graphene show neutrino-like linear energy dispersions as well as chiral behavior near the Dirac point. Here we report highly unusual and unexpected behaviors of these carriers in applied external periodic potentials,…

Materials Science · Physics 2008-03-04 Cheol-Hwan Park , Li Yang , Young-Woo Son , Marvin L. Cohen , Steven G. Louie

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 describe the electronic conductivity, as a function of the Fermi energy, in the Bernal bilayer graphene (BLG) in presence of a random distribution of vacancies that simulate resonant adsorbates. We compare it to monolayer (MLG) with the…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 Ahmed Missaoui , Jouda Jemaa Khabthani , Nejm-Eddine Jaidane , Didier Mayou , Guy Trambly de Laissardière

We study the effects of disorder in the electronic properties of graphene multilayers, with special focus on the bilayer and the infinite stack. At low energies and long wavelengths, the electronic self-energies and density of states…

Strongly Correlated Electrons · Physics 2013-05-29 Johan Nilsson , A. H. Castro Neto , F. Guinea , N. M. R. Peres

The electronic states in the monolayer graphene with the short-range perturbation asymmetric with respect to the band index are analized. The study was made for the separable in the angular momentum representation potential basing on the…

Mesoscale and Nanoscale Physics · Physics 2010-11-05 Sergey A. Ktitorov , Yurii I. Kuzmin , Natalie E. Firsova

Graphene with high carrier mobility \mu\ is required both for graphene-based electronic devices and for the investigation of the fundamental properties of graphene's Dirac fermions. It is largely accepted that the mobility-limiting factor…

Mesoscale and Nanoscale Physics · Physics 2012-03-08 A. K. M. Newaz , Yevgeniy S. Puzyrev , Bin Wang , Sokrates T. Pantelides , Kirill I. Bolotin

Understanding disorder in graphene is essential for electronic applications; in contrast to conventional materials, the extraordinarily low electron-phonon scattering1, 2 in graphene implies that disorder3-7 dominates its resistivity even…

Mesoscale and Nanoscale Physics · Physics 2011-11-14 Jun Yan , Michael S. Fuhrer

The minimum conductivity value as well as the linear dependence of conductivity on the charge density near the Dirac point in single and doublelayer graphene is derived from the energy-time uncertainty principle applied to ballistic charge…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 D. Dragoman

We investigate the electronic band structure and transport properties of periodically alternating mono- and bi-layer graphene superlattices (MBLG SLs). In such MBLG SLs, there exists a zero-averaged wave vector (zero-$\overline{k}$) gap…

Materials Science · Physics 2015-12-22 Xiong Fan , Wenjun Huang , Tianxing Ma , Li-Gang Wang , Hai-Qing Lin

We present exact analytical solutions for the zero-energy modes of two-dimensional massless Dirac fermions fully confined within a smooth one-dimensional potential V(x)= - {\alpha}/cosh({\beta}x), which provides a good fit for potential…

Mesoscale and Nanoscale Physics · Physics 2010-07-01 R. R. Hartmann , N. J. Robinson , M. E. Portnoi

We report a study of disorder effects on epitaxial graphene in the vicinity of the Dirac point by magneto-transport. Hall effect measurements show that the carrier density increases quadratically with temperature, in good agreement with…

The eigen energy and the conductivity of a graphene sheet subject to a one-dimensional cosinusoidal potential and in the presence of a magnetic field are calculated. Such a graphene superlattice presents three distinct magnetic miniband…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Liwei Jiang , Yisong Zheng

Introducing quasiparticle anisotropy in graphene via uniaxial strain has a profound effect on the polarization charge density induced by external impurities, both Coulomb and short-range. In particular, the charge distribution induced by a…

Mesoscale and Nanoscale Physics · Physics 2023-12-21 Mohamed M. Elsayed , Sang Wook Kim , Juan M. Vanegas , Valeri N. Kotov

We investigate the electronic structure of graphene monolayers subjected to patterned dielectric superlattices. Through a quantum capacitance model approach, we simulate realistic devices capable of imposing periodic potentials on graphene.…

Mesoscale and Nanoscale Physics · Physics 2025-01-27 Zhen Zhan , Yonggang Li , Pierre A. Pantaleon

Ballistic transport occurs whenever electrons propagate without collisions deflecting their trajectory. It is normally observed in conductors with a negligible concentration of impurities, at low temperature, to avoid electron-phonon…

Mesoscale and Nanoscale Physics · Physics 2018-04-25 Youngwoo Nam , Dong-Keun Ki , David Soler-Delgado , Alberto F. Morpurgo

We have performed a detailed investigation of the electrical properties of a graphene monolayer which is modulated by a weak one dimensional periodic potential in the presence of a perpendicular magnetic field. The periodic modulation…

Mesoscale and Nanoscale Physics · Physics 2009-08-18 R. Nasir , K. Sabeeh , M. Tahir

Electron transport in bilayer graphene is studied by using a first principles analysis and theMonte Carlo simulation under conditions relevant to potential applications. While the intrinsic properties are found to be much less desirable in…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 X. Li , K. M. Borysenko , M. Buongiorno Nardelli , K. W. Kim

We report measurements of the cyclotron mass in graphene for carrier concentrations n varying over three orders of magnitude. In contrast to the single-particle picture, the real spectrum of graphene is profoundly nonlinear so that the…

We study transport properties of clean suspended graphene at the Dirac point. In the absence of the electron-electron interaction, the main contribution to resistivity comes from interaction with flexural (out-of-plane deformation) phonons.…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 I. V. Gornyi , V. Yu. Kachorovskii , A. D. Mirlin

We study the band dispersion of graphene with randomly distributed structural defects using two complementary methods, exact diagonalization of the tight-binding Hamiltonian and implementing a self-consistent T matrix approximation. We…