G.5
Log Number: 35
Abstract Submitted to the NT-99-Logo NANOTUBE-99 Workshop:

Conductance Quantization and Berry's Phase in Carbon Nanotubes

Tsuneya Ando1, Takeshi Nakanishi2, and Riichiro Saito3

1Institute for Solid State Physics, University of Tokyo
2The Institute of Physical and Chemical Research (RIKEN)
3The university of Electro-Communications

Contact e-mail: nkns@postman.riken.go.jp

Carbon nanotubes are a new kind of quantum wires topologically different from conventional wires fabricated at semiconductor heterostructures. Further, electronic states in the vicinity of the Fermi level are quite different from those of free electrons.

The purpose of this paper is to study effects of impurity scattering and to demonstrate the absence of backward scattering except for scatterers with a potential range smaller than the lattice constant, suggesting that the conductance can be quantized even in the presence of scatterers [1,2]. The absence of backward scattering is shown to be ascribed to Berry's phase which corresponds to a sign change of the wave function under a rotation of a neutrino-like particle in the wave vector space in a two-dimensional graphite [3]. Backward scattering appears in magnetic fields, which is highly likely to give rise to a huge positive magnetoresistance.

References:
[1] T. Ando and T. Nakanishi: J. Phys. Soc. Jpn. 67 (1998) 1704.
[2] T. Nakanishi and T. Ando: J. Phys. Soc. Jpn. 68 (1999) 561.
[3] T. Ando, T. Nakanishi and R. Saito: J. Phys. Soc. Jpn. 67 (1998) 2857.

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