Temperature-Induced Plasmons in a Graphite Sheet

Lin, Ming–Fa; Shyu, Feng–Lin

doi:10.1143/jpsj.69.607

Cited by 38 publications

(40 citation statements)

References 17 publications

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“…The band structure has been discussed in detail in pre- vious work. 23,45) Before a further discussion on the properties of the electronic excitations, we briefly review the important features of the band structure of monolayer graphene and AA-stacked graphite which differ from those of AB-stacked and ABC-stacked graphite. This is done for completeness and for introducing our notation.…”

Section: Tight-binding Methods and Electronic Structurementioning

confidence: 99%

Anisotropy of π-Plasmon Dispersion Relation of AA-Stacked Graphite

et al. 2012

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The dispersion relation of the high energy optical π-plasmons of simple hexagonal intrinsic graphite was calculated within the self-consistent-field approximation. The plasmon frequency ω p is determined as functions of the transferred momentum q along the hexagonal plane in the Brillouin zone and its perpendicular component q z . These plasmons are isotropic within the plane in the long wavelength limit. As the in-plane transferred momentum is increased, the plasmon frequency strongly depends on its magnitude and direction (φ). With increasing angle, the dispersion relation within the hexagonal plane is gradually changed from quadratic to nearly linear form. There are many significant differences for the π-plasmon dispersion relations between 2D graphene and 3D AA-stacked graphite. They include q -and φ-dependence and π-plasmon bandwidth. This result reveals that interlayer interaction could enhance anisotropy of inplane π-plasmons. For chosen q , we also obtain the plasmon frequency as a function of q z and show that there is an upper bound on q z for plasmons to exist in graphite. Additionally, the group velocity for plasmon propagation along the perpendicular direction may be positive or negative depending on the choice of q . Consequently, the forward and backward propagation of π-plasmons in AA-stacked graphite in which the energy flow is respectively parallel or antiparallel to the transferred momentum, can be realized. The backward flowing resonance is an intrinsic property of AA-stacked graphite, arising from the energy band structure and the interlayer coupling.

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Section: Tight-binding Methods and Electronic Structurementioning

confidence: 99%

Anisotropy of π-Plasmon Dispersion Relation of AA-Stacked Graphite

et al. 2012

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“…However, it was found that a rise in temperature could generate free carriers and thus intraband plasmons. 22 Accordingly, monolayer graphene could be the first undoped system which exhibits the low-frequency plasmon purely due to temperature.…”

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Plasma Excitations in Graphene: Their Spectral Intensity and Temperature Dependence in Magnetic Field

Chen

Roslyak

et al. 2011

ACS Nano

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In this paper, we calculated the dielectric function, the loss function, the magnetoplasmon dispersion relation and the temperature-induced transitions for graphene in a uniform perpendicular magnetic field B. The calculations were performed using the Peierls tight-binding model to obtain the energy band structure and the random-phase approximation to determine the collective plasma excitation spectrum. The singleparticle and collective excitations have been precisely identified based on the resonant peaks in the loss function. The critical wave vector at which plasmon damping takes place is clearly established. This critical wave vector depends on the magnetic field strength as well as the levels between which the transition takes place. The temperature effects were also investigated. At finite temperature, there are plasma resonances induced by the Fermi distribution function. Whether such plasmons exist is mainly determined by the field strength, temperature, and momentum. The inelastic light scattering spectroscopies could be used to verify the magnetic field and temperature induced plasmons. Keywords: graphene · Landau level · electronic excitation · random phase approximation · magnetic field · tight-binding model † E-mail: ggumbs@hunter.cuny.edu * E-mail: mflin@mail.ncku.edu.tw 1 Graphene, a flat monolayer of carbon atoms with a honeycomb lattice, is the basic building block for other graphitic materials. It is famous for the linear energy dispersion around the zero Fermi energy, where the electrons can travel thousands of interatomic distances without scattering. Based on the high electron mobility, graphene is a popular candidate for the production of future nanoelectronic elements, such as ballistic transistors, the entire π-magnetoelectronic structure at realistic magnetic field strengths can be solved. The number of charge carriers per area is self conserved during our calculations. Therefore, the accuracy of our results is not constrained by either the energy range or the magnetic field. In the random-phase approximation (RPA), 2 the complete structure of the dielectric function was determined. The single-particle and collective excitations can be precisely identified according to the divergences in the loss function ℑm(−1/ǫ(q, ω)), where q is the in-plane wave vector and ω is the frequency. It should be noted that our discussion is within the condition that q is much smaller than the reciprocal-lattice vector, and the local-field effects 30,31 are neglected in our calculation.The group velocities of the magnetoplasmons in the long wavelength limit are typically positive, and then decrease to negative values as the wave vector is increased. The critical momentum for plasmon damping to occur is clearly established. Our calculations show that this critical wave vector has a strong dependence on the field strength as well as the levels between which the transition takes place. The temperature effects were also investigated and are reported in detail below. We found that the intra-Landau level t...

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“…Single particle magneto-oscillatory phenomena such as the Shubnikov-de Haas and de Haas-van Alphen effects have provided very important probes of the electronic structure of solids. Their collective analog yields important insights into collective phenomena [8, 9, graphene in the absence of a magnetic field have been investigated [16,17,18,19,20] .…”

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Inter-band magnetoplasmons in mono- and bilayer graphene

Tahir

Sabeeh

2008

J. Phys.: Condens. Matter

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Collective excitations spectrum of Dirac electrons in mono and bilayer graphene in the presence of a uniform magnetic field is investigated. Analytical results for inter-Landau band plasmon spectrum within the self-consistent-field approach are obtained. SdH-type oscillations that are a monotonic function of the magnetic field are observed in the plasmon spectrum of both monoand bi-layer graphene systems. The results presented are also compared with those obtained in conventional 2DEG. The chiral nature of the quasiparticles in mono and bilayer graphene systems results in the observation of π and 2π Berry's phase in the SdH-type oscillations in the plasmon spectrum.

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Temperature-Induced Plasmons in a Graphite Sheet

Cited by 38 publications

References 17 publications

Anisotropy of π-Plasmon Dispersion Relation of AA-Stacked Graphite

Anisotropy of π-Plasmon Dispersion Relation of AA-Stacked Graphite

Plasma Excitations in Graphene: Their Spectral Intensity and Temperature Dependence in Magnetic Field

Inter-band magnetoplasmons in mono- and bilayer graphene

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