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 $\phi_0$, $\phi_0/2$ and almost $\phi_0/3$ as a function of $\phi$, depending on numbers of electrons ($N$), where $\phi_0=\frac{hc}{e}$ is a unit flux and $\phi$ is the magnetic flux through the hollow of the disk. The oscillations of $M(B)$ are classified into five patterns at $1\leq N\leq 27$ 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.