Study on the effects of anisotropic effective mass on electronic properties, magnetization and persistent current in semiconductor quantum ring with conical geometry

TL;DR

This study explores how anisotropic effective mass and surface quantum confinement influence electronic properties, magnetization, and persistent currents in a conical semiconductor quantum ring, revealing significant effects on energy levels and quantum oscillations.

Contribution

It introduces a detailed numerical analysis of anisotropic mass effects on quantum rings with conical geometry, highlighting their impact on electronic and magnetic properties in specific semiconductors.

Findings

Energy sub-bands shift with curvature and anisotropy.

Fermi energy profiles are affected by magnetic field and ring width.

AB and dHvA oscillations are sensitive to geometry and anisotropy.

Abstract

We study a 2D mesoscopic ring with an anisotropic effective mass considering surface quantum confinement effects. Consider that the ring is defined on the surface of a cone, which can be controlled topologically and mapped to the 2D ring in flat space. We demonstrate through numerical analysis that the electronic properties, the magnetization, and the persistent current undergo significant changes due to quantum confinement and non-isotropic mass. We investigate these changes in the direct band gap semiconductors SiC, ZnO, GaN, and AlN. There is a plus (or minus) shift in the energy sub-bands for different values of curvature parameter and anisotropy. Manifestations of this nature are also seen in the Fermi energy profile as a function of the magnetic field and in the ring width as a function of the curvature parameter. Aharonov-Bohm (AB) and de Haas van-Alphen (dHvA) oscillations are also studied, and we find that they are sensitive to variations in curvature and anisotropy.