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Journal of Nanotechnology
Volume 2013 (2013), Article ID 367270, 6 pages
http://dx.doi.org/10.1155/2013/367270
Research Article

Superconductivity in an Inhomogeneous Bundle of Metallic and Semiconducting Nanotubes

1Physics Department, New York City College of Technology, The City University of New York, Brooklyn, NY 11201, USA
2UTD-NanoTech Institute, The University of Texas at Dallas, Richardson, TX 75083-0688, USA

Received 2 July 2013; Revised 6 September 2013; Accepted 6 September 2013

Academic Editor: Bobby G. Sumpter

Copyright © 2013 Ilya Grigorenko and Anvar Zakhidov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Using Bogoliubov-de Gennes formalism for inhomogeneous systems, we have studied superconducting properties of a bundle of packed carbon nanotubes, making a triangular lattice in the bundle's transverse cross-section. The bundle consists of a mixture of metallic and doped semiconducting nanotubes, which have different critical transition temperatures. We investigate how a spatially averaged superconducting order parameter and the critical transition temperature depend on the fraction of the doped semiconducting carbon nanotubes in the bundle. Our simulations suggest that the superconductivity in the bundle will be suppressed when the fraction of the doped semiconducting carbon nanotubes will be less than 0.5, which is the percolation threshold for a two-dimensional triangular lattice.