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A remarkable manifestation of the quantum character of electrons in matter is offered by graphene, a single atomic layer of graphite. Unlike conventional solids where electrons are described with the Schrodinger equation, electronic…

Mesoscale and Nanoscale Physics · Physics 2008-09-16 Z. Q. Li , E. A. Henriksen , Z. Jiang , Z. Hao , M. C. Martin , P. Kim , H. L. Stormer , D. N. Basov

Electronic analogue of generalized Goos-H\"{a}nchen shifts is investigated in the monolayer graphene superlattice with one-dimensional periodic potentials of square barriers. It is found that the lateral shifts for the electron beam…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Xi Chen , Pei-Liang Zhao , Xiao-Jing Lu , Li-Gang Wang

This paper is to explore the de Haas-van Alphen effect $(dHvA)$ of graphene in the presence of an in-plane uniform electric field. Three major findings are yielded. First of all, the electric field is found to modulate the de Haas-van…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Shengli Zhang , Ning Ma , Erhu Zhang

Zero energy states in the Dirac spectrum with U(1) symmetric massive vortices of various underlying insulating orders in strained graphene are constructed in the presence of the magnetic field. An easy plane vortex of antiferromagnet and…

Mesoscale and Nanoscale Physics · Physics 2012-05-07 Bitan Roy

The electronic properties of graphene under any arbitrary uniaxial strain field are obtained by an exact mapping of the corresponding tight-binding Hamiltonian into an effective one-dimensional modulated chain. For a periodic modulation,…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Gerardo G. Naumis , Pedro Roman-Taboada

The occurrence of Landau levels in quantum mechanics when a charged particle is subjected to a uniform magnetic field is well known. Considering the recent interest in the electronic properties of graphene, which admits a dispersion…

Mesoscale and Nanoscale Physics · Physics 2025-09-18 Aritra Ghosh

We calculate the dispersion equations for magnetoplasmons in a single layer, a pair of parallel layers, a graphite bilayer and a superlattice of graphene layers in a perpendicular magnetic field. We demonstrate the feasibility of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Oleg L. Berman , Godfrey Gumbs , Yurii E. Lozovik

By solving two-component spinor equation for massless Dirac Fermions, we show that graphene under a periodic external magnetic field exhibits a unique energy spectrum: At low energies, Dirac Fermions are localized inside the magnetic region…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 Shuanglong Liu , Argo Nurbawono , Na Guo , Chun Zhang

It is well-known that macroscopically-normalizable zero-energy wavefunctions of spin-$\frac{1}{2}$ particles in a two-dimensional inhomogeneous magnetic field are spin-polarized and exactly calculable with degeneracy equaling the number of…

Mesoscale and Nanoscale Physics · Physics 2025-03-13 Vo Tien Phong , Eugene J. Mele

Electrons are offered a valley degree of freedom in presence of particular lattice structures. Manipulating valley degeneracy is the subject matter of an emerging field of investigation, mostly focused on charge transport in graphene. In…

Strongly Correlated Electrons · Physics 2012-04-18 Zengwei Zhu , Aurelie Collaudin , Benoit Fauque , Woun Kang , Kamran Behnia

A doped graphene layer in the integer quantum Hall regime reveals a highly unusual particle-hole excitation spectrum, which is calculated from the dynamical polarizability in the random phase approximation. We find that the elementary…

Mesoscale and Nanoscale Physics · Physics 2009-08-07 R. Roldan , J. -N. Fuchs , M. O. Goerbig

Coherent coupling of Dirac fermion magneto-excitons with an optical phonon is observed in graphite as marked magnetic-field dependent splittings and anti-crossing behavior of the two coupled modes. The sharp magneto-phonon resonance occurs…

Materials Science · Physics 2015-05-19 J. Yan , S. Goler , T. D. Rhone , M. Han , R. He , P. Kim , V. Pellegrini , A. Pinczuk

We develop a hydrodynamic description of electron magnetotransport in conductors without Galilean invariance in the presence of a weak long-range disorder potential. We show that magnetoresistance becomes strong (of order 100 %) at…

Mesoscale and Nanoscale Physics · Physics 2024-02-05 Alex Levchenko , Songci Li , A. V. Andreev

We show that the twisted graphene bilayer can reveal unusual topological properties at low energies, as a consequence of a Dirac-point splitting. These features rely on a symmetry analysis of the electron hopping between the two layers of…

Mesoscale and Nanoscale Physics · Physics 2011-07-21 R. de Gail , M. O. Goerbig , F. Guinea , G. Montambaux , A. H. Castro Neto

The optical conductivity of graphite in quantizing magnetic fields is analytically evaluated for frequencies in the range of 10--300 meV, where the electron relaxation processes can be neglected and the low-energy excitations at the "Dirac…

Materials Science · Physics 2015-05-20 L. A. Falkovsky

We report on the observation of magnetoresistance oscillations in graphene p-n junctions. The oscillations have been observed for six samples, consisting of single-layer and bilayer graphene, and persist up to temperatures of 30 K, where…

Graphene on two dimensional (2D) noncommutative (NC) plane in the presence of a constant background magnetic field has been studied. To handel the gauge-invariance issue we start our analysis by a effective massles NC Dirac field theory…

High Energy Physics - Theory · Physics 2020-10-28 Aslam Halder

The wave nature of electrons in low-dimensional structures manifests itself in conventional electrical measurements as a quantum correction to the classical conductance. This correction comes from the interference of scattered electrons…

Mesoscale and Nanoscale Physics · Physics 2009-03-27 F. V. Tikhonenko , A. A. Kozikov , A. K. Savchenko , R. V. Gorbachev

Magneto-Raman scattering experiments from the surface of graphite reveal novel features associated to purely electronic excitations which are observed in addition to phonon-mediated resonances. Graphene-like and graphite domains are…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 C. Faugeras , M. Amado , P. Kossacki , M. Orlita , M. Kühne , A. A. L. Nicolet , Yu. I. Latyshev , M. Potemski

Revivals of electric current in graphene in the presence of an external magnetic field are described. It is shown that when the electrons are prepared in the form of wave packets assuming a Gaussian population of only positive (or negative)…

Quantum Physics · Physics 2015-05-14 Elvira Romera , Francisco de los Santos
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