Disorder-averaged currents in edged topological disordered mesoscopic cylinder

Edged topological disorder in quantum mesoscopic cylinder threaded with magnetic flux is investigated by using exact diagonalization. The Fermi energy continuously varies with respect to magnetic flux against saw-tooth variation in ordered mesoscopic cylinder. In addition, the energy levels repel each other and energy gap appears in variation of energy spectra as a function of magnetic flux in edged topological disordered mesoscopic cylinder rather than ordered ones. In strong edged topological disorder, a narrow mesoscopic cylinder which is a low-dimensional sample behaves in the same way as a three-dimensional system.