Two chirality classes of ac quantum transport in metallic carbon nanotubes

Abstract

We report a theoretical investigation of the ac transport in metallic single-walled carbon nanotubes (SWNTs). In contrast to the dc conductance, we clarify that the ac admittance behavior of finite-length metallic SWNTs does depend on the tube chirality and it is classified into two chirality categories: that of metals 1 (e.g., metallic zigzag SWNTs) and 2 (e.g., armchair SWNTs). Moreover, we find that for long SWNTs the admittances of both metals 1 and 2 behave as a simple series circuit consisting of a half of the quantum resistance and a half of the quantum inductance.