Collective modes of a superlattice - plasmons, LO phonon-plasmons, and magnetoplasmons

Bloss, Walter L.; Brody, Edward M.

doi:10.1016/0038-1098(82)90068-0

Cited by 116 publications

(14 citation statements)

References 18 publications

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“…But a strong interlayer coupling lifts the degeneracy of these plasmon modes and leads to the formation of N plasmon bands. In the past, plasmon bands have been investigated extensively in macroscopic multilayers, such as metallic superlattices and semiconductor quantumwell structures, by a variety of theoretical methods [7][8][9][10][11][12]. While most experimental studies were performed using (angleresolved) Raman spectroscopy [13][14][15], also a few reports from electron energy-loss spectroscopy (EELS) exist [16,17].…”

Section: Introductionmentioning

confidence: 99%

Plasmon bands in multilayer graphene

et al. 2014

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High-energy collective electronic excitations (plasmons) in freestanding multilayer graphene are studied by momentum-resolved electron energy-loss spectroscopy (EELS). For normal incidence, only the high-energy plasmon band is excited and we measure a blueshift of the π-plasmon dispersion with increasing thickness. The observed transition between two-dimensional and three-dimensional behavior is explained using a layeredelectron-gas (LEG) model. We propose a method to measure all individual plasmon bands by tilting the sample with respect to the electron beam. As a proof of concept, EELS experiments for three-layer graphene are compared with predictions from the LEG model.

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Section: Introductionmentioning

confidence: 99%

Plasmon bands in multilayer graphene

et al. 2014

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“…The dispersion relation of collective modes of the electron gas in layered systems has been studied by a variety of theoretical approaches, based on hydrodynamics (Fetter, 1974), quantum mechanics (e.g. Bloss & Brody, 1982;Das Sarma & Quinn, 1982) and classical electrodynamics (e.g. Economou, 1969).…”

Section: Introductionmentioning

confidence: 99%

Plasmon coupling and finite size effects in metallic multilayers

Neyer

Schattschneider

Bolton

et al. 1997

Journal of Microscopy

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SummaryThis work uses electron energy loss spectroscopy (EELS) to study the excitation of interface and bulk plasmons in artificial, nonmagnetic metallic multilayers. We obtain EELS spectra for W/Si and Ta/Si multilayers with layer periodicity d using an off-axis acquisition technique and compare the results with dispersion relations and energy loss probability distributions predicted from dielectric theory. Our energy loss spectra, taken for a fixed out-of-plane wavevector k z ¼ p/d and low in-plane wavevectors k y < 1/d, contain features which are identified as coupled interface modes by solving the appropriate superlattice dispersion relation. These interface modes are accompanied by bulk plasmons of the individual media. We find that dielectric theory greatly overemphasizes these bulk modes. This behaviour is interpreted phenomenologically as a finite size effect and is modelled by introducing a cut-off for the long-wavelength bulk modes.

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“…Recently Xue and Tsai (1985) investigated the plasmon polariton modes of such superlattices using the hydrodynamic jellium model. Their work, devised specifically for metallic superlattice plasmon polaritons, can be viewed as a special case of plasmon polaritons in semiconductor superlattices (see, for example, Das Sarma and Quinn 1982, Bloss and Brody 1982, Camley and Mills 1984, Babiker et a1 1986a, b, c, 1987, Olego eta1 1982, Fasol et a1 1985. Because of the opacity of metals, light scattering is unfortunately not a suitable probe of metallic,excitations.…”

Section: Introductionmentioning

confidence: 99%

The formation of linear and three-dimensional polymers by polycyclisation

Vygodskii¹,

Pankratov²

1992

Russ. Chem. Rev.

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A theory of electron scattering by longitudinal plasmons in binary metallic superlattices is considered. The theory is based on the dispersive hydrodynamic jellium model applied to both superlattice components. This allows a straightforward derivation of the dispersion relation and permits the quantisation of the superlattice longitudinal plasmon field. For application to electron energy-loss spectroscopy (EELS) the coupling of this field to electrons is taken as the canonically transformed interaction Hamiltonian which readily incorporates the effects of the finite screening lengths of the superlattice metallic components. For a typical metallic superlattice the cross section as a function of energy loss is derived, and is shown to predict a number of scattering peaks corresponding to zonefolded longitudinal plasmons due to the superlattice macroscopic periodicity. It is suggested here that an experiment employing conventional EELS techniques should reveal this folding of longitudinal plasmons in metallic superlattices.

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Collective modes of a superlattice - plasmons, LO phonon-plasmons, and magnetoplasmons

Cited by 116 publications

References 18 publications

Plasmon bands in multilayer graphene

Plasmon bands in multilayer graphene

Plasmon coupling and finite size effects in metallic multilayers

The formation of linear and three-dimensional polymers by polycyclisation

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