An exhaustive classification scheme for single-wall carbon nanotubes

Li, Tsung-Lung; Ting, Jyh-Hua

doi:10.1016/j.physb.2006.12.082

Cited by 4 publications

(6 citation statements)

References 21 publications

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“…The energy dispersion relation of the nanotube is derived by using the zone-folding approach. More details can be found in [1], [2], [4], [37]- [39].…”

Section: Band Structure Of Swcntsmentioning

confidence: 99%

“…We denote with s μ F and s μ F the two segments that contain or are nearest to K and K . They give the two energy subbands that pass through or are closest to the CNT Fermi level, called "Fermi-level subbands" [38], [39]. The Fermi-level subband indexes μ F and μ F are related by the equation μ F + μ F = N and are given explicitly by formulae or algorithms readily applicable to computations.…”

Section: B Evaluation Of the Fermi-level Subbandsmentioning

confidence: 99%

“…resistance (39) introduced by this model is related to the kinetic L K inductance and to the frequency of the collisions with the lattice. This latter is related to the mean-free path of the electrons through ν = v F /l m f p .…”

Section: Transmission Line Modelmentioning

confidence: 99%

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Signal Propagation in Carbon Nanotubes of Arbitrary Chirality

Miano

Forestiere

Maffucci

et al. 2011

IEEE Trans. Nanotechnology

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In carbon nanotubes (CNTs) with large radii, either metallic or semiconducting, several subbands contribute to the electrical conduction, while in metallic nonarmchair nanotubes with small radii the wall curvature induces a large energy gap. In this paper, we propose a model for the signal propagation along single wall CNTs (SWCNTs) of arbitrary chirality, at microwave through terahertz frequencies, which takes into account both these characteristics in a self-consistent way. We first study an SWCNT, disregarding the wall curvature, in the frame of a semiclassical treatment based on the Boltzmann equation in the momentum-independent relaxation time approximation. It allows expressing the longitudinal dynamic conductivity in terms of the number of effective conducting channels. Next, we study the behavior of this number as the nanotube radius varies and its relation with the kinetic inductance and quantum capacitance. Furthermore, we show that the effects of the spatial dispersion are negligible in the collision dominated regimes, whereas they may be important in the collisionless regimes, giving rise to sound waves propagating with the Fermi velocity. Then, we study the effects on the electron transport of the terahertz quantum transition induced by the wall curvature by using a quantum kinetic approach. The nanotube curvature modifies the kinetic inductance and gives arise to an additional RLC branch in the equivalent circuit, related to the terahertz quantum transition. The proposed model can be used effectively for analyzing the signal propagation in complex structures composed of SWCNTs with different chirality, such as bundles of SWCNTs and multiwall CNTs, providing that the tunneling between adjacent shells may be disregarded

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“…The energy dispersion relation of the nanotube is derived by using the zone-folding approach. More details can be found in [1], [2], [4], [37]- [39].…”

Section: Band Structure Of Swcntsmentioning

confidence: 99%

Section: B Evaluation Of the Fermi-level Subbandsmentioning

confidence: 99%

See 1 more Smart Citation

Signal Propagation in Carbon Nanotubes of Arbitrary Chirality

Miano

Forestiere

Maffucci

et al. 2011

IEEE Trans. Nanotechnology

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show abstract

“…Before the effect of sub-band on the carrier concentration, which indicates the number of occupied levels in the band energy per unit length, given in Eq. (12), the non-degenerate and degenerate concentration must be analyzed first.…”

Section: Resultsmentioning

confidence: 99%

“…The one-dimensional (1D) band structure of a (n, m) nanotube is given by the zone-folding relation by using the relation [12] …”

Section: Carbon Nanotube Band Structurementioning

confidence: 99%