A common electromagnetic framework for carbon nanotubes and solid nanowiresspatially dispersive conductivity, generalized ohm's law, distributed impedance, and transmission line model

IEEE Transactions on Microwave Theory and Techniques

Volumn 59, Issue 1, 2011, Pages 9-20

  Hanson, George W ^a  

^a University of Wisconsin Milwaukee   (United States)

Author keywords

Carbon nanotubes (CNTs); multiconductor transmission lines (MTLs); nanotechnology

Indexed keywords

BOLTZMANN'S EQUATIONS; FERMI VELOCITIES; GENERAL EQUATIONS; INTRINSIC CAPACITANCE; KINETIC INDUCTANCES; METAL NANOWIRE; MULTICONDUCTOR TRANSMISSION LINES (MTLS); NUMERICAL RESULTS; OHM'S LAW; PROPAGATION CONSTANT; SEMICONDUCTING NANOWIRES; SOLID MATERIAL; SPATIAL DISPERSION; TRANSMISSION LINE MODELS; TRANSMISSION-LINE;

BANDPASS FILTERS; BOLTZMANN EQUATION; CAPACITANCE; CARBON NANOTUBES; DISPERSION (WAVES); ELECTRIC LINES; ELECTROMAGNETIC WAVE EMISSION; MAGNETIC FIELD MEASUREMENT; NANOWIRES; TRANSMISSION LINE THEORY;

NANOTECHNOLOGY;

EID: 78651312456     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMTT.2010.2090693     Document Type: Article

References (36)

1. P. J. Burke, "An RF circuit model for carbon nanotubes," IEEE Trans. Nanotechnol., vol. 2, no. 1, pp. 55-58, Mar. 2003.
2. S. Li, Z. Yu, C. Rutherglen, and P. J. Burke, "Electrical properties of 0.4 cm long single walled carbon nanotubes," Nano Lett., vol. 4, no. 10, pp. 2003-2007, 2004.
3. S. Salahuddin, M. Lundstrom, and S. Datta, "Transport effects on signal propagation in quantum wires," IEEE Trans. Electron Devices, vol. 52, no. 8, pp. 1734-1742, Aug. 2005.
4. J.-O. J. Wesström, "Signal propagation in electron waveguide: Transmission- line analogies," Phys. Rev. B, Condens. Matter, vol. 54, pp. 11484-11491, 1996.
5. G. Miano, C. Forestiere, A. Maffucci, S. A. Maksimenko, and G. Ya. Slepyan, "Signal propagation in carbon nanotubes of arbitrary chirality," IEEE Trans. Nanotechnol., 2010, to be published.
6. Z. Yu and P. J. Burke, "Microwave transport in metallic single-walled carbon nanotubes," Nano Lett., vol. 5, pp. 1403-1406, 2005.
7. A. Naeemi and J. D. Meindl, "Impact of electron-phonon scattering on the performance of carbon nanotube interconnects for GSI," IEEE Electron Device Lett., vol. 26, no. 7, pp. 476-478, Jul. 2005. (Pubitemid 41046728)
8. A. Naeemi, R. Sarvari, and J. D. Meindl, "Performance comparison between carbon nanotube and copper interconnects for gigascale integration (GSI)," IEEE Electron Device Lett., vol. 26, no. 2, pp. 84-86, Feb. 2005. (Pubitemid 40205844)
9. A. Nieuwoudt and Y. Massoud, "Evaluating the impact of resistance in carbon nanotube bundles for VLSI interconnect using diameter-dependent modeling techniques," IEEE Trans. Electron Devices, vol. 53, no. 10, pp. 2460-2466, Oct. 2006.
10. Y. Massoud and A. Nieuwoudt, "Modeling and design challenges and solutions for carbon nanotube-based interconnect in future high performance integrated circuits," ACMJ. Emerg. Technol. Comput. Syst., vol. 2, pp. 155-196, Jul. 2006.
11. H. J. Li, W. G. Lu, J. J. Li, X. D. Bai, and C. Z. Gu, "Multichannel ballistic transport in multiwall carbon nanotubes," Phys. Rev. Lett., vol. 95, pp. 086601: 1-086601: 4, 2005.
12. A. Naeemi and J. D. Meindl, "Compact physical models for multiwall carbon-nanotube interconnects," IEEE Electron Device Lett., vol. 27, no. 5, pp. 338-340, May 2006.
13. D. Mencarelli, T. Rozzi, C. Camilloni, L. Maccari, A. Di Donato, and L. Pierantoni, "Modeling of multi-wall CNT devices by self-consistent analysis of multi-channel transport," IOP Nanotechnol., vol. 19, Apr. 2008, Art. ID 165202, DOI: 10.1088/0957-4484/19/16/165202. (Pubitemid 351570937)
14. D. Mencarelli, L. Pierantoni, and T. Rozzi, "Optical absorption of carbon nanotube diodes: Strength of the electronic transitions and sensitivity to the electric field polarization," J. Appl. Phys., vol. 103, 2008, Art. ID 063103.
15. L. Pierantoni, D. Mencarelli, and T. Rozzi, "Boundary immittance operator for the combined Schrödinger-Maxwell problem of carrier dynamics in nanodevices," IEEE Trans. Microw. Theory Tech., vol. 57, no. 5, pp. 1147-1155, May 2009.
16. G. Ya. Slepyan, S. A. Maksimenko, A. Lakhtakia, O. Yevtushenko, and A. V. Gusakov, "Electrodynamics of carbon nanotubes: Dynamic conductivity, impedance boundary conditions, and surface wave propagation," Phys. Rev. B, Condens. Matter, vol. 60, pp. 17136-17149, Dec. 1999.
17. G. W. Hanson, "Drift diffusion: A model for teaching spatial dispersion concepts and the importance of screening in nanoscale structures," IEEE Antennas Propag. Mag., Jan. 2010, submitted for publication.
18. N. W. Ashcroft and N. D. Mermin, Solid State Physics. Philadelphia, PA: Holt, Rinehart, Winston, 1976.
19. A. G. Chiariello, A. Maffucci, G. Miano, F. Villone, and W. Zamboni, "Metallic carbon nanotube interconnects, part II: A transmission line model," in IEEE Signal Propag. Interconnects Workshop, 2006, pp. 185-188.
20. A. Maffucci, G. Miano, and F. Villone, "A transmission line model for metallic carbon nanotube interconnects," Int. J. Circuit Theory Appl., vol. 36, pp. 31-51, 2006.
21. W. Steinhögl, G. Schindler, G. Steinlesberger, M. Traving, and M. Engelhardt, "Comprehensive study of the resistivity of copper wires with lateral dimensions of 100 nm and smaller," J. Appl. Phys., vol. 97, pp. 023706: 1-023706: 7, 2005.
22. G. W. Hanson, "Radiation efficiency of nanoradius dipole antennas in the microwave and far-infrared regime," IEEE Antennas Propag. Mag., vol. 50, pp. 66-77, Jun. 2008.
23. S. M. Sze, Semiconductor Devices. New York: Wiley, 1985.
24. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions. Washington, DC: Nat. Bureau Standards, 1964.
25. C. R. Paul, Analysis of Multiconductor Transmission Lines. New York: Wiley, 2007.
26. S. Ilani, L. A. K. Donev, M. Kindermann, and P. L. McEuen, "Measurement of the quantum capacitance of interacting electrons in carbon nanotubes," Nature Phys., vol. 2, pp. 687-691, 2006.
27. G. Miano and F. Villone, "An integral formulation for the electrodynamics of metallic carbon nanotubes based on a fluid model," IEEE Trans. Antennas Propag., vol. 54, pp. 2713-2724, Oct. 2006.
28. D. M. Pozar, Microwave Engineering, 3rd ed. New York: Wiley, 2005.
29. P. C. Clemmow and J. P. Dougherty, Electrodynamics of Partcles and Plasmas. Reading, MA: Addison-Wesley, 1969.
30. R. Kragler and H. Thomas, "Dielectric function in the relaxation-time approximation generalized to electronic multiple-band systems," Z. Phys. B, Condens. Matter, vol. 39, pp. 99-107, 1980.
31. A. R. Melnyk and M. J. Harrison, "Theory of optical excitation of plasmons in metals," Phys. Rev. B, Condens. Matter, vol. 2, pp. 835-850, Aug. 1970.
32. N. D. Mermin, "Lindhard dielectric funstion in the relaxation-time approximation," Phys. Rev. B, Condens. Matter, vol. 1, pp. 2362-2363, Mar. 1970.
33. P. Halevi, "Hydrodynamic model for the degenerate free-electron gas: Generalization to arbitrary frequencies," Phys. Rev. B, Condens. Matter, vol. 51, pp. 7497-7499, Mar. 1995.
34. M. Dressel and G. Grüner, Electrodynamics of Solids. Cambridge, U.K.: Cambridge Univ. Press, 2002.
35. L. Latessa, A. Pecchia, A. Di Carlo, and P. Lugli, "Negative quantum capacitance of gated carbon nanotubes," Phys. Rev. B, Condens. Matter, vol. 72, pp. 035455(1)-035455(5), 2005.
36. A. Ishimaru, Electromagnetic Wave Propagation, Radiation, and Scattering. Englewood Cliffs, NJ: Prentice-Hall, 1991.