Size and Shape Effects in the Orbital Magnetization of TMDs Monolayers

TL;DR

This paper investigates how the size, shape, and boundary conditions of TMD monolayer samples influence their intrinsic orbital magnetization, highlighting the importance of geometrical and topological factors often overlooked.

Contribution

It demonstrates that geometrical, topological, and boundary conditions significantly affect the orbital magnetization in TMD monolayers, extending previous models that assumed unbounded systems.

Findings

Shape and boundary conditions alter magnetization calculations

Topological properties influence orbital magnetization

Boundary effects are significant even in large samples

Abstract

The intrinsic orbital magnetization of a TMD monolayer is usually calculated for a plane unbounded system without mentioning the geometrical shape of samples and boundary conditions (BCs) for electron wave functions. The method of calculations includes allowing for the Berry curvature contribution also in the case when the system is described by the two-band minimal model [9]. In the present paper, we show that the geometrical and topological properties of the specimen, as well as the BCs, play an important role in the problem of magnetization even for a macroscopic specimen.