Generalized Bloch states and potentials of nanotubes and other quasi-1D systems II

Abstract

A generalized Bloch theorem for systems with line group symmetry (e.g., nanotubes, stereo-regular polymers, quasi-one-dimensional crystals) shows that single-particle eigenfunctions are essentially composed of two factors: a function which is invariant under the symmetry transformations and a function which determines the symmetry of the state. Here we derive the representative functions for all irreducible representations of the line groups. © 2009 IOP Publishing Ltd. © 2009 IOP Publishing Ltd.