Theoretical Issues

The electronic structure of carbon nanotubes is unique in solid-state physics in the sense that carbon nanotubes can be either semiconducting or metallic, depending on their diameter and chirality [1,2]. The phonon properties are also remarkable, showing unique one-dimensional (1D) behavior and special characteristics related to the cylindrical lattice geometry, such as the Radial Breathing Mode (RBM) properties and the special twist acoustic mode which is unique among 1D phonon subbands.

Using the simple tight-binding method and pair-wise atomic force constant models, we can derive the electronic and phonon structure, respectively. These models provide good approximations for understanding the experimental results for SWNTs.

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