Effect of the surface curvature on the magnetic moment and persistent currents in two-dimensional quantum rings and dots

TL;DR

This paper explores how surface curvature influences magnetic properties and persistent currents in 2D quantum rings and dots, revealing that curvature reduces oscillation amplitudes and periods, and affects level degeneracy and magnetic moment behavior.

Contribution

It provides a detailed analysis of the impact of surface curvature on magnetic oscillations and degeneracy in quantum rings and dots, a novel investigation in this context.

Findings

Curvature decreases the spacing between maxima of dHvA oscillations.

Curvature reduces the amplitude and period of AB oscillations.

Surface curvature suppresses magnetic moment at low magnetic fields.

Abstract

The effect of the surface curvature on the magnetic moment and persistent currents in two-dimensional (2D) quantum rings and dots is investigated. It is shown that the surface curvature decreases the spacing between neighboring maxima of de Haas -- van Alphen (dHvA) type oscillations of the magnetic moment of a ring and decreases the amplitude and period of Aharonov -- Bohm (AB) type oscillations. In the case of a quantum dot, the surface curvature reduces the level degeneracy at zero magnetic fields. This leads to a suppression of the magnetic moment at low magnetic fields. The relation between the persistent current and the magnetic moment is studied. We show that the surface curvature decreases the amplitude and the period of persistent current oscillations.