Aharonov-Bohm oscillation of magnetization in two-dimensional corbino disk

We numerically calculate the magnetization by applying the magnetic field ($B$) perpendicular to two-dimensional corbino disk system without electron spin. We obtain that the period of the Aharonov-Bohm (AB) oscillations of magnetization $[M(B)]$ exhibit ${\varphi }_0$, ${\varphi }_0\mathrm{/}2$ and almost ${\varphi }_0\mathrm{/}3$ as a function of $\varphi$, depending on numbers of electrons ($N$), where ${\varphi }_0=\frac{hc}{e}$ is a unit flux and $\varphi$ is the magnetic flux through the hollow of the disk. The oscillations of $M(B)$ are classified into five patterns at $1\le N\le 27$ investigated in this study. These are expected to be observed in the two-dimensional semiconductor corbino disk with the hollow radius of about 10 nm and small electron numbers at the high magnetic field.