Abstract:
We construct exactly solvable models of twisted carbon nanotubes
via supersymmetry, by applying the matrix Darboux transformation. We derive
the Green's function for these systems and compute the local density of
states. Explicit examples of twisted carbon nanotubes are produced, where
the back-scattering is suppressed and bound states are present. We find that
the local density of states decreases in the regions where the bound states
are localized. Dependence of bound-state energies on the asymptotic twist of
the nanotubes is determined.
