Magnetic field dependence of edge states in MoS${}_2$ quantum dots

Abstract

We study the electronic structure of monolayer MoS${}_2$ quantum dots subject to a perpendicular magnetic field. The coupling between conduction and valence band gives rise to mid-gap topological states which localize near the dot edge. These edge states are analogous to those of 1D quantum rings. We show they present a large, Zeeman-like, linear splitting with the magnetic field, anticross with the delocalized Fock-Darwin-like states of the dot, give rise to Aharonov-Bohm-like oscillations of the conduction (valence) band low-lying states in the K (K') valley, and modify the strong field Landau levels limit form of the energy spectrum.

submitted as extension to Chapter 17 of "Physics of Quantum Rings" (Springer, ed.V. Fomin), 2nd edition