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Luttinger liquid theory as a model of the gigahertz electrical properties of carbon nanotubes

Burke, P.J.·2002·IEEE Transactions on Nanotechnology

Abstract

Presents a technique to directly excite Luttinger liquid collective modes in carbon nanotubes at gigahertz frequencies. By modeling the nanotube as a nano-transmission line with distributed kinetic and magnetic inductance as well as distributed quantum and electrostatic capacitance, we calculate the complex frequency-dependent impedance for a variety of measurement geometries. Exciting voltage waves on the nano-transmission line is equivalent to directly exciting the yet-to-be observed one-dimensional plasmons, the low energy excitation of a Luttinger liquid. Our technique has already been applied to two-dimensional plasmons and should work well for one-dimensional plasmons. Tubes of length 100 microns must be grown for gigahertz resonance frequencies. Ohmic contact is not necessary with our technique; capacitive contacts can work. Our modeling has applications in potentially terahertz nanotube transistors and RF nanospintronics.

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Metadata

Authors
Burke, P. J.
Venue
IEEE Transactions on Nanotechnology
Published
2002-09
Volume
1
Issue
3
Pages
129-144
ISSN
  • 1536-125X (ISSN-L)
  • 1941-0085
OpenAlex
W2153602935
Cited by
595
References
0
FWCI
6.32
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Luttinger liquid theory as a model of the gigahertz electrical properties of carbon nanotubes. https://app.cochat.ai/papers/10.1109/tnano.2002.806823
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Burke, P. J. (2002). Luttinger liquid theory as a model of the gigahertz electrical properties of carbon nanotubes. IEEE Transactions on Nanotechnology. https://doi.org/10.1109/tnano.2002.806823

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.