Magnetic depopulation of hybrid magnetoelectric one-dimensional subbands is investigated within a model for a cylindrical quantum well with either a parabolic or infinitely steep confining potential. A criterion of the number of edge states is derived, which is found to be in good agreement with experiments. Our model also provides a quantitative description of the experimental observation of the damping effect of the state-density oscillations in the presence of a strong axial magnetic field. We make a specific prediction for the dependence of the critical magnetic field $B_c$ for the onset of the damping effect on the effective radius of the quantum wire, which is amenable to experimental verification.

• Received 7 August 1989

DOI:https://doi.org/10.1103/PhysRevB.40.8107