Band Structure of Graphite

Slonczewski, J. C.; Weiß, Peter

doi:10.1103/physrev.109.272

Cited by 1,521 publications

(983 citation statements)

References 13 publications

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“…In the inserted graph, the center of the Brillouin zone is labeled , while two corners are labeled and separately. The dispersion near point () is linear and can be described by a Dirac-like Hamiltonian [54–56] …”

Section: The Structure Of Graphenementioning

confidence: 99%

Structure of graphene and its disorders: a review

Gao

Lee

et al. 2018

Science and Technology of Advanced Materials

540

187

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Monolayer graphene exhibits extraordinary properties owing to the unique, regular arrangement of atoms in it. However, graphene is usually modified for specific applications, which introduces disorder. This article presents details of graphene structure, including sp2 hybridization, critical parameters of the unit cell, formation of σ and π bonds, electronic band structure, edge orientations, and the number and stacking order of graphene layers. We also discuss topics related to the creation and configuration of disorders in graphene, such as corrugations, topological defects, vacancies, adatoms and sp3-defects. The effects of these disorders on the electrical, thermal, chemical and mechanical properties of graphene are analyzed subsequently. Finally, we review previous work on the modulation of structural defects in graphene for specific applications.

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Section: The Structure Of Graphenementioning

confidence: 99%

Structure of graphene and its disorders: a review

Gao

Lee

et al. 2018

Science and Technology of Advanced Materials

540

187

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“…Here we compare the above Dirac Hamiltonian of solids (25), to the effective Hamiltonian of graphene given by: 82,83) …”

Section: Dirac Hamiltonians Of Bismuth and Graphenementioning

confidence: 99%

Transport Properties and Diamagnetism of Dirac Electrons in Bismuth

2015

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Bismuth crystal is known for its remarkable properties resulting from particular electronic states, e. g., the Shubnikovde Haas effect and the de Haas-van Alphen effect. Above all, the large diamagnetism of bismuth had been a long-standing puzzle soon after the establishment of quantum mechanics, which had been resolved eventually in 1970 based on the effective Hamiltonian derived by Wolff as due to the interband effects of a magnetic field in the presence of a large spin-orbit interaction. This Hamiltonian is essentially the same as the Dirac Hamiltonian, but with spatial anisotropy and an effective velocity much smaller than the light velocity. This paper reviews recent progress in the theoretical understanding of transport and optical properties, such as the weak-field Hall effect together with the spin Hall effect, and ac conductivity, of a system described by the Wolff Hamiltonian and its isotropic version with a special interest of exploring possible relationship with orbital magnetism. It is shown that there exist a fundamental relationship between spin Hall conductivity and orbital susceptibility in the insulating state on one hand, and the possibility of fully spinpolarized electric current in magneto-optics. Experimental tests of these interesting features have been proposed.

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“…It was assumed that the graphene electrons move in the sample under the action of the external electric field E ext (t), and this directly leads to the time-dependent electric current j(t), Eq. (12). In general, however, the time-dependent electric current creates, in its turn, a secondary (induced) electric field E ind (t), which acts back on the electrons and should be added to the external field.…”

Section: Self-consistent-field Effects and Radiative Decaymentioning

confidence: 99%

Nonlinear electromagnetic response of graphene: frequency multiplication and the self-consistent-field effects

Mikhaǐlov

Ziegler²

2008

J. Phys.: Condens. Matter

391

390

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Graphene is a recently discovered carbon based material with unique physical properties. This is a monolayer of graphite, and the two-dimensional electrons and holes in it are described by the effective Dirac equation with a vanishing effective mass. As a consequence, electromagnetic response of graphene is predicted to be strongly non-linear. We develop a quasi-classical kinetic theory of the non-linear electromagnetic response of graphene, taking into account the self-consistent-field effects. Response of the system to both harmonic and pulse excitation is considered. The frequency multiplication effect, resulting from the non-linearity of the electromagnetic response, is studied under realistic experimental conditions. The frequency up-conversion efficiency is analysed as a function of the applied electric field and parameters of the samples. Possible applications of graphene in terahertz electronics are discussed.

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Band Structure of Graphite

Cited by 1,521 publications

References 13 publications

Structure of graphene and its disorders: a review

Structure of graphene and its disorders: a review

Transport Properties and Diamagnetism of Dirac Electrons in Bismuth

Nonlinear electromagnetic response of graphene: frequency multiplication and the self-consistent-field effects

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