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We study a 2D mesoscopic ring with an anisotropic effective mass consideringsurface quantum confinement effects. Consider that the ring is defined on thesurface of a cone, which can be controlled topologically and mapped to the 2Dring in flat space. We demonstrate through numerical analysis that theelectronic properties, the magnetization, and the persistent current undergosignificant changes due to quantum confinement and non-isotropic mass. Weinvestigate 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 differentvalues of curvature parameter and anisotropy. Manifestations of this nature arealso seen in the Fermi energy profile as a function of the magnetic field andin 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 thatthey are sensitive to variations in curvature and anisotropy.

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