Carrier states on cylindrical 2DEGs in a magnetic field

We compute carrier states on a cylindrical 2DEG under the influence of a magnetic field perpendicular to the tube axis. The field and the topology of the cylindrical surface have been included in the Schrödinger equation, that has been solved exactly. The results show that carrier states can be driven from a 2D regime, to a quasi-1D regime by transverse magnetic field. In the case of a spatially modulated magnetic field, the carriers can localise to quasi-0D states.