Signal propagation in electron waveguides: Transmission-line analogies

Wesström, Jan-Olof J.

doi:10.1103/physrevb.54.11484

Cited by 34 publications

(15 citation statements)

References 12 publications

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“…The models proposed in [6], [9], [19], [20]- [22] are able to describe the signal propagation in metallic SWCNTs, providing that only the two subbands crossing the CNT Fermi level contribute significantly to the electric conduction. This requirement restricts the application of these models only to CNTs with radius below 5 nm.…”

Section: Introductionmentioning

confidence: 99%

“…In [29], a diameterdependent model of the nanotube conductance, based on the approach given in [25], has been proposed. In [30], a multichannel approach based on the electron waveguide model given in [20] has been proposed, but the number of conducting channels is a parameter depending on the CNT radius that is external to the model, and it is approximated through a formula given in [25] for zigzag CNTs. The approach proposed in [26] counts the number of conducting channels through the occupation probability of the states at the energy peaks and valley of the valence and conduction bands, respectively.…”

Section: Introductionmentioning

confidence: 99%

“…The SWCNTs may also be represented as quantum wires. A transmission line model has been proposed in [20] to describe the propagation of signals in electron waveguides, obtained starting from the semiclassical model of the electron dynamics in a 1-D geometry with one subband. This model could be used to describe the signal propagation in CNTs if we knew the number of subband involved in the electric conduction.…”

Section: Introductionmentioning

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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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

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 [15] a TL-like model to describe the signal propagation along electron waveguide devices is derived starting from the semiclassical model of the dynamics of single electrons in one-dimensional systems with one subband. As far as we know, this is the first TL-like model proposed in the literature for describing the propagation of an electric signal along quantum wires (structures with transverse dimensions comparable to the electron de Broglie wavelength).…”

Section: Introductionmentioning

confidence: 99%

A transmission line model for metallic carbon nanotube interconnects

Maffucci

Miano

Villone

2006

Circuit Theory & Apps

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A transmission line (TL) model describing the propagation of electric signals along metallic single wall carbon nanotube (CNT) interconnects is derived in a simple and self-consistent way within the framework of the classical electrodynamics. The conduction electrons of metallic CNTs are modelled as an infinitesimally thin cylindrical layer of a compressible charged fluid with friction, moving in a uniform neutralizing background. The dynamic of the electron fluid is studied by means of the linearized hydrodynamic equations with the pressure assumed to be that of a degenerate spin- 12 ideal Fermi gas. Transport effects due to the electron inertia, quantum fluid pressure and electron scattering with the ion lattice significantly influence the propagation features of the TL. The simplicity and robustness of the fluid model make the derivation of the TL equations more straightforward than other derivations recently proposed in the literature and provide simple and clear definitions of the per unit length (p.u.l.) TL parameters. In particular, this approach has provided a new circuit model that can be used effectively in the analysis of networks composed of CNT transmission lines and lumped elements. The differences and similarities between the proposed model and those given in the literature are highlighted

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“…The kinetic inductance L' k and the quantum capacitance C' q of a single wire channel have the following expressions [1], [3]:…”

Section: Distributed Nano-line Constants For Commonmentioning

confidence: 99%

Sensitivity Analysis of Wave Propagation in a Single-Walled Carbon Nanotube

D’Amore¹,

Sarto²

2006 Sixth IEEE Conference on Nanotechnology

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Literal expressions of the parameters characterizing the common mode wave propagation in a single-walled carbon nanotube are presented. The sensitivity functions of the line parameters with respect to the frequency and the distributed line constants are represented in analytical form. The "electrically short" nano transmission line is described by a very simple simulation model. Frequency spectra of the line parameters and their sensitivity functions are shown in the range up to 10 GHz.

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Signal propagation in electron waveguides: Transmission-line analogies

Cited by 34 publications

References 12 publications

Signal Propagation in Carbon Nanotubes of Arbitrary Chirality

Signal Propagation in Carbon Nanotubes of Arbitrary Chirality

A transmission line model for metallic carbon nanotube interconnects

Sensitivity Analysis of Wave Propagation in a Single-Walled Carbon Nanotube

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