Magnetic response of a two-dimensional degenerate electron gas in nanostructures with cylindrical symmetry

An investigation is made of the magnetic response of nanostructures with cy lindrical symmetry located in a longitudinal magnetic field. Analytic expre ssions are obtained for the magnetic moment of the nanostructures, cylinder s and bracelets. It is shown that the magnetic moment describes Aharonov-Bo hm oscillations. The profile of the oscillations and the position of the os cillation maxima are studied. In the limit T --> 0 the curves of the magnet ic response as a function of the magnetic field flux contain "beak''-shaped kinks, and the positions of the points at which these kinks occur are dete rmined. The temperature dependence of the magnetic response is studied and the influence of the spin-magnetic interaction on the magnetic response of the nanostructures is examined. It is shown that this interaction destroys the periodicity of the magnetic response with respect to flux and gives ris e to a monotonic term in the response. (C) 1999 American Institute of Physi cs. [S1063-7761(99)02004-1].