Elementary excitations in cylindrical tubules

Lin, Ming–Fa; Shung, Kenneth W. K.

doi:10.1103/physrevb.47.6617

Cited by 140 publications

(89 citation statements)

References 18 publications

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“…1. The Coulomb potential in the cylindrical geometry has already been discussed in nanotubes and in cylindrical quantum wires, [69][70][71][72][73][74] including effects of dielectric screening. 75) For convenience of the following discussion, the potential in the configuration relevant to the present cases is given in Appendix A.…”

Section: Coulomb Interactionmentioning

confidence: 99%

Environment Effects on Excitons in Semiconducting Carbon Nanotubes

Ando

2010

J. Phys. Soc. Jpn.

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Effects of environmental dielectric screening on excitons in carbon nanotubes are studied within a k Á p scheme and a continuum model. They are shown to be sensitive to the effective distance between the nanotube and the dielectric medium relative to the diameter. For material surrounding the nanotube, the band gap decreases with the increase of the dielectric constant, but the energy of the ground exciton exhibits only a slight decrease for effective distance comparable to interlayer spacing of bulk graphite. The binding energy of excited exciton states disappears rapidly. For dielectric material inside the nanotube, effects are much weaker and excited exciton states remain as bound states even for very large dielectric constant.

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Section: Coulomb Interactionmentioning

confidence: 99%

Environment Effects on Excitons in Semiconducting Carbon Nanotubes

Ando

2010

J. Phys. Soc. Jpn.

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“…The Coulomb potential between two electrons on the cylindrical surface at r ¼ ðx; yÞ and r 0 ¼ ðx 0 ; y 0 Þ is written as [23][24][25][26][27] vðx…”

Section: Coulomb Interactionmentioning

confidence: 99%

Effective-Mass Theory of Electron Correlations in Band Structure of Semiconducting Carbon Nanotubes

2003

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The band gap, the single-particle energy, and the effective mass are calculated for semiconducting carbon nanotubes in a random-phase approximation within a k Á p scheme. The energy gaps are shown to be strongly enhanced due to the Coulomb interaction, while effects on the effective mass along the axis direction are small. For realistic values of the interaction parameter, effects of the dynamical screening are sufficiently weak, and the conventional screened Hartree-Fock approximation is shown to work quite well. Further, the band gap contains a term with a residual logarithmic dependence on the tube diameter d after being scaled by 1=d.

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“…Thermal radiation in systems with surface plasmons is influenced by the near-field effects and is known to be considerably different from the black-body radiation [14,15]. Earlier theoretical studies of CNTs showed the existence of low-frequency plasmon branches [16,17] and the formation in CNTs of strongly slowed-down electromagnetic surface waves [18]. Such waves define pronounced Purcell effect in CNTs [19] and potentiality of CNTs as Cherenkov-type emitters [20].…”

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confidence: 99%

Thermal Radiation from Carbon Nanotubes in the Terahertz Range

2007

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The thermal radiation from an isolated finite-length carbon nanotube (CNT) is theoretically investigated both in near-and far-field zones. The formation of the discrete spectrum in metallic CNTs in the terahertz range is demonstrated due to the reflection of strongly slowed-down surfaceplasmon modes from CNT ends. The effect does not appear in semiconductor CNTs. The concept of CNT as a thermal nanoantenna is proposed.PACS numbers: 78.67. Ch, 44.40.+a Carbon nanotubes -quasi-one-dimensional carbon molecules -have found numerous real and potential applications as building blocks of nanoelectronic circuits [1] and nanoscale optical elements [2]. Among others, the idea of CNT-based optical devices enabling control and enhancement of radiation efficiency on the nanoscale, i.e. nanoscale antennas for infrared and visible light, is actively discussed [3,4,5,6]. Noise properties and operational limits of such devices are substantially determined by the thermal fluctuations of electromagnetic field. Fundamental interest to the thermal radiation is also dictated by the ability of nanostructures to change the photonic local density of states (LDOS), i.e. the electromagnetic vacuum energy [2,7,8]. The effect has been observed in microcavities, photonic crystals, nanoparticles in the vicinity of surface-plasmon resonances, etc. [2]. Thus, as the electromagnetic fluctuations are defined by the photonic LDOS, investigation of the thermal radiation is expected to bring new opportunities for the reconstruction of photonic LDOS in the presence of nanostructures. In turn, the photonic LDOS is a key physical factor defining a set of well-known quantum-electrodynamical effects: the Purcell effect [8], the Casimir-Lifshitz forces [9], the electromagnetic friction [2], etc. All aforesaid stimulates investigation of thermal radiation on nanoscale.During last decade, there has been considerable interest to optical properties of surface-plasmon structures [10,11]. In particular, spherical gold particles in the vicinity of the plasmon resonance have been shown to be an effective nanoantennas [12]. Recently, the strong coherent coupling between individual optical emitters and guided plasmon excitations has been predicted [13] introducing thus quantum optics of nanoplasmonic structures. Thermal radiation in systems with surface plasmons is influenced by the near-field effects and is known to be considerably different from the black-body radiation [14,15]. Earlier theoretical studies of CNTs showed the existence of low-frequency plasmon branches [16,17] and the formation in CNTs of strongly slowed-down electromagnetic surface waves [18]. Such waves define pronounced Purcell effect in CNTs [19] and potentiality of CNTs as Cherenkov-type emitters [20]. Geometrical resonances -standing surface waves excited due to the strong reflection from the tips of finite-length CNTs -qualitatively distinguish CNTs from the planar structures investigated in [14,15]. One can expect an essential role of these resonances in the formation of the CNT's therm...

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Elementary excitations in cylindrical tubules

Cited by 140 publications

References 18 publications

Environment Effects on Excitons in Semiconducting Carbon Nanotubes

Environment Effects on Excitons in Semiconducting Carbon Nanotubes

Effective-Mass Theory of Electron Correlations in Band Structure of Semiconducting Carbon Nanotubes

Thermal Radiation from Carbon Nanotubes in the Terahertz Range

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