Quantized persistent currents in quantum dot at strong magnetic field

We investigate equilibrium electron currents and magnetization in an ideal two-dimensional disk of radius R placed in a strong magnetic field H. The most striking results emerge when the conditions for the existence of edge and bulk states are met, namely, R≫${\mathit{a}}_{\mathit{H}}$=(ħc/eH${)}^{1/2}$. When the Fermi energy is locked on a Landau level, the current as a function of electron density is quantized in units of (e/h)ħ${\mathrm{\omega }}_{\mathit{c}}$/2, where ${\mathrm{\omega }}_{\mathit{c}}$ is the cyclotron frequency. We argue that this effect survives against weak disorder. It is also shown that the persistent current has an approximately periodic dependence on 1/H.