Low-energy electronic states in tubular wires.

We study theoretically the electron energies and localization in a hexagonal nanotube which is the outer part of a core-shell nanowire. We show that the lowest transverse states are localized in the corner areas of the cross section leading to conductive channels along the edges. We study the impact of spin-orbit interaction on the edge states in uniform and inhomogeneous structures and we show that the bands of homogeneous system are hardly affected by spin-orbit interaction but the effect considerably increases in the disordered wire.