ORBITAL MAGNETISM OF 2-DIMENSIONAL ELECTRONS IN CONFINING POTENTIALS

Magnetizations of finite two-dimensional systems in external potentials are investigated. Magnetic field and temperature dependence of the magnetization is calculated exactly. It is found that the magnetization is well defined in the limit of vanishing magnetic field as well as in the limit of T = 0, and that it shows large fluctuation at low temperature as the magnetic field is varied. It is shown that this fluctuating magnetization tends to the Landau diamagnetism at higher temperature or by ensemble averaging.