Magnetic moment of quantum cylinders

The magnetic response of a two-dimensional layer rolled into a cylinder and located in a longitudinal magnetic field is examined. The magnetic moment of the degenerate electron gas is studied as a function of the magnetic flu x. The shape of the fluctuation maxima is analyzed in detail. It is shown t hat at zero temperature there are breaks in each period of the change in th e magnetic moment. Over this period, a plot of the magnetic moment depends strongly on the ratio of the Fermi energy to the size-confinement energy. I n particular, there are no breaks for integral or semi-integral values of t he square root of this ratio. (C) 1999 American Institute of Physics. [S106 3-7834(99)02405-3].