Remark on Landau quantization, Aharonov–Bohm effect and two-dimensional pseudoharmonic quantum dot around a screw dislocation

Abstract

We investigate the influence of a screw dislocation on the energy levels and the wavefunctions of an electron confined in a two-dimensional pseudoharmonic quantum dot under the influence of an external magnetic field inside a dot and Aharonov–Bohm field inside a pseudodot. Filgueiras et al. (2016) [1] showed that the Schrödinger equation is separable in cylindrical coordinates when the motion along the z axis is unbounded. We show that it is not separable under box confinement as those authors claim but it is separable in the case of periodic boundary conditions along that axis.