Erratum: The Band Theory of Graphite [Phys. Rev. 71, 622 (1947)]

Wallace, Philip R.

doi:10.1103/physrev.72.258

Cited by 1,002 publications

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“…This occurs because in the Dirac theory the energy of this level, E0 = ±∆, is field independent in sharp contrast to the conventional case. The band structure of graphene (a single atomic layer of graphite) consists of two inequivalent pairs of the Dirac cones with apex at the hexagonal Brillouin zone corners 1 . For zero chemical potential µ one cone of the pair is full and the other empty.…”

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confidence: 99%

Unusual Microwave Response of Dirac Quasiparticles in Graphene

2006

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Recent experiments have proven that the quasiparticles in graphene obey a Dirac equation. Here we show that microwaves are an excellent probe of their unusual dynamics. When the chemical potential is small the intraband response can exhibit a cusp around zero frequency Ω and this unusual lineshape changes to Drude-like by increasing the chemical potential |µ|, with width also increasing linearly with µ. The interband contribution at T = 0 is a constant independent of Ω with a lower cutoff at 2µ. Distinctly different behavior occurs if interaction-induced phenomena in graphene cause an opening of a gap ∆. At large magnetic field B, the diagonal and Hall conductivities at small Ω become independent of B but remain nonzero and show structure associated with the lowest Landau level. This occurs because in the Dirac theory the energy of this level, E0 = ±∆, is field independent in sharp contrast to the conventional case.

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confidence: 99%

Unusual Microwave Response of Dirac Quasiparticles in Graphene

2006

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“…We regard the single 2p z orbital of the carbon atoms to used in (23); besides, we take into account the interaction of the nearest neighbor atoms (Fig. 5), because they have the most important role in formation of the energy states [10]. We write the wave function  in terms of basis functions, …”

Section: Tight-binding Approximationmentioning

confidence: 99%

Electronic Band Structure of Carbon Nanotubes in Equilibrium and None-Equilibrium Regimes

Ghayour¹,

Pakkhesal²

2011

Electronic Properties of Carbon Nanotubes

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“…Theoretically, in the lowenergy limit charge carries of graphene have linear dispersion relation around so-called Dirac points 3 having Fermi velocity 4 v F ≃ 10 6 m/s, and Dirac-Weyl equation can be safely used within the framework of continuum description of the electronic band structure of the graphene 5 .…”

Section: Introductionmentioning

confidence: 99%

Zone-boundary phonon induced mini band gap formation in graphene

Kandemir

Moğulkoç

2014

Solid State Communications

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We investigate the effect of electron-A1g phonon coupling on the gapless electronic band dispersion of the pristine graphene. The electron-phonon interaction is introduced through a Kekulé-type distortion giving rise to inter-valley scattering between K and K ′ points in graphene. We develop a Frölich type Hamiltonian within the continuum model in the long wave length limit. By presenting a fully theoretical analysis, we show that the interaction of charge carriers with the highest frequency zone-boundary phonon mode of A1g-symmetry induces a mini band gap at the corners of the twodimensional Brillouin zone of the graphene. Since electron-electron interactions favor this type of lattice distortion, it is expected to be enhanced, and thus its quantitative implications might be measurable in graphene.

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Erratum: The Band Theory of Graphite [Phys. Rev. 71, 622 (1947)]

Cited by 1,002 publications

References 0 publications

Unusual Microwave Response of Dirac Quasiparticles in Graphene

Unusual Microwave Response of Dirac Quasiparticles in Graphene

Electronic Band Structure of Carbon Nanotubes in Equilibrium and None-Equilibrium Regimes

Zone-boundary phonon induced mini band gap formation in graphene

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