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

TL;DR

This study investigates how a perpendicular magnetic field influences the edge states in monolayer MoS$_2$ quantum dots, revealing topological states, Zeeman splitting, and Aharonov-Bohm oscillations that affect the electronic spectrum.

Contribution

It provides a detailed analysis of magnetic field effects on edge states in MoS$_2$ quantum dots, highlighting their topological nature and unique magnetic responses.

Findings

Edge states localize near the dot edge and are topological in nature.

Magnetic field induces a large Zeeman-like linear splitting of edge states.

Observation of Aharonov-Bohm-like oscillations in low-lying states.

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.