Abstract Submitted to the NANOTUBE-99 Workshop:

It has been suggested by many theoretical calculations that a nanotube junction connecting tubes with different diameters through a pair of pentagon-heptagon pair [1] exhibits intriguing transport properties [2,3,4]. We discuss electronic states and transport phenomena of nanotube junction systems consisting of metallic tubes with effective-mass description and demonstrate their unique universal behavior. The electron motion is described by Weyl's equation for neutrino for states in the vicinity of K and K' points of the Brillouin zone of a graphite sheet. The wave functions associated with the K and K' points are independent in nanotubes, but are interconnected in the junction region [5]. The conductance is calculated for various values of the energy and the tilting angle between the axis of two nanotubes. It is essentially independent of the tilting angle and always drops to zero near the band edge. The results are compared with those obtained by a tight-binding calculation.

References:
[1] S. Iijima, T. Ichihashi, and Y. Ando: Nature (London) 356, 776 (1992).
[2] R. Saito, G. Dresselhaus, and M. S. Dresselhaus: Phys. Rev. B 53, 2044 (1996).
[3] R. Tamura and M. Tsukada: Phys. Rev. B 55, 4991 (1997).
[4] T. Nakanishi and T. Ando: J. Phys. Soc. Jpn. 66, 2973 (1997).
[5] H. Matsumura and T. Ando: J. Phys. Soc. Jpn. 67, 3542 (1998).

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