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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

We establish an analogy between spectra of Dirac fermions in laser fields and an electron spectrum of graphene superlattices formed by static 1D periodic potentials. The general relations between a laser-controlled spectrum where electron…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Sergey E. Savel'ev , Alexandre S. Alexandrov

Graphene grown on Fe(110)by chemical vapor deposition using propylene is investigated by means of angle-resolved photoemission. The presence of massless Dirac fermions is clearly evidenced by the observation of a fully intact Dirac cone.…

Materials Science · Physics 2013-01-01 A. Varykhalov , J. Sánchez-Barriga , P. Hlawenka , O. Rader

The pseudo-magnetic field generated by mechanical strain in graphene can have dramatic consequences on the behavior of electrons and holes. Here we show that pseudo-magnetic field fluctuations present in crumpled graphene can induce…

We calculate the spectrum of massive Dirac fermions in graphene in the presence of an inhomogeneous magnetic field modeled by a step function. We find an analytical universal relation between the bandwidths and the propagating velocities of…

Mesoscale and Nanoscale Physics · Physics 2021-07-27 L. Dell'Anna , A. Alidoust Ghatar , D. Jahani

We study the tunneling of Dirac fermions in graphene through a double barrier potential allowing the carriers to have an effective mass inside the barrier as generated by a lattice miss-match with the boron nitride substrate. The…

Mesoscale and Nanoscale Physics · Physics 2016-05-06 Hocine Bahlouli , El Bouazzaoui Choubabi , Ahmed Jellal , Miloud Mekkaoui

We show that new massless Dirac fermions are generated when a slowly varying periodic potential is applied to graphene. These quasiparticles, generated near the supercell Brillouin zone boundaries with anisotropic group velocity, are…

Mesoscale and Nanoscale Physics · Physics 2008-09-22 Cheol-Hwan Park , Li Yang , Young-Woo Son , Marvin L. Cohen , Steven G. Louie

Motivated by a number of recent experimental studies, we have carried out the microscopic calculation of the quasiparticle self-energy and spectral function in a doped graphene when a symmetry breaking of the sublattices is occurred. Our…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Alireza Qaiumzadeh , Reza Asgari

Gap opening in graphene is usually discussed in terms of a semiconducting-like spectrum, where the appearance of a finite gap at the Dirac point is accompanied by a finite mass for the fermions. In this Letter we propose a gap scenario from…

Mesoscale and Nanoscale Physics · Physics 2008-10-03 L. Benfatto , E. Cappelluti

Far infrared magneto-transmission spectroscopy has been used to probe "relativistic" fermions in highly oriented pyrolytic and natural graphite. Nearly identical transmission spectra of those two materials are obtained, giving the signature…

Other Condensed Matter · Physics 2008-10-23 M. Orlita , C. Faugeras , G. Martinez , D. K. Maude , M. L. Sadowski , J. M. Schneider , M. Potemski

The behavior of electrons in strained graphene is usually described using effective pseudomagnetic fields in a Dirac equation. Here we consider the particular case of a spatially constant strain. Our results indicate that lattice…

Mesoscale and Nanoscale Physics · Physics 2013-09-10 M. Oliva-Leyva , G. G. Naumis

We have investigated the absorption spectrum of multilayer graphene in high magnetic fields. The low energy part of the spectrum of electrons in graphene is well described by the relativistic Dirac equation with a linear dispersion…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 P. Plochocka , C. Faugeras , M. Orlita , M. L. Sadowski , G. Martinez , M. Potemski , M. O. Goerbig , J. -N. Fuchs , C. Berger , W. A. de Heer

Individual electrons in graphene behave as massless quasiparticles. In surprising twist, it is inferred from plasmonic investigations that collectively excited graphene electrons must exhibit non-zero mass and its inertial acceleration is…

Mesoscale and Nanoscale Physics · Physics 2014-06-23 Hosang Yoon , Carlos Forsythe , Lei Wang , Nikolaos Tombros , Kenji Watanabe , Takashi Taniguchi , James Hone , Philip Kim , Donhee Ham

We review the classification of all the 36 possible gap-opening instabilities in graphene, i.e., the 36 relativistic masses of the two-dimensional Dirac Hamiltonian when the spin, valley, and superconducting channels are included. We then…

Mesoscale and Nanoscale Physics · Physics 2012-06-06 Claudio Chamon , Chang-Yu Hou , Christopher Mudry , Shinsei Ryu , Luiz Santos

We develop a microscopic theory of the weak localization of two-dimensional massless Dirac fermions which is valid in the whole range of classically weak magnetic fields. The theory is applied to calculate magnetoresistance caused by the…

Mesoscale and Nanoscale Physics · Physics 2011-10-03 M. O. Nestoklon , N. S. Averkiev , S. A. Tarasenko

Whereas massless Dirac fermions in monolayer graphene exhibit Klein tunneling when passing through a potential barrier upon normal incidence, such a barrier totally reflects massive Dirac fermions in bilayer graphene due to difference in…

Mesoscale and Nanoscale Physics · Physics 2012-04-09 Neetu Agrawal , Sameer Grover , Sankalpa Ghosh , Manish Sharma

In the variational framework, we study the electronic energy spectrum of massless Dirac fermions of graphene subjected to one-dimensional oscillating magnetic and electrostatic fields centered around a constant uniform static magnetic…

Mesoscale and Nanoscale Physics · Physics 2014-11-20 B. S. Kandemir , A. Mogulkoc

Massless Dirac fermions in graphene provide unprecedented opportunities to realize the Klein paradox, which is one of the most exotic and striking properties of relativistic particles. In the seminal theoretical work [Katsnelson et al.,…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Ke-Ke Bai , Jia-Bin Qiao , Hua Jiang , Haiwen Liu , Lin He

In this paper, we study the massive Dirac equation with the presence of the Morse potential in polar coordinate. The Dirac Hamiltonian is written as two second-order differential equations in terms of two spinor wavefunctions. Since the…

Quantum Physics · Physics 2021-04-27 Z. Zali , Alireza Amani , J. Sadeghi , B. Pourhassan

The wavefunction of massless Dirac fermions is a two-component spinor. In graphene, a one-atom-thick film showing two-dimensional Dirac-like electronic excitations, the two-component representation reflects the amplitude of the electron…

Materials Science · Physics 2015-10-22 Wen-Xiao Wang , Long-Jing Yin , Jia-Bin Qiao , Tuocheng Cai , Si-Yu Li , Rui-Fen Dou , Jia-Cai Nie , Xiaosong Wu , Lin He
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