Heat capacity of mesoscopic superconducting disks

We study the heat capacity of isolated giant vortex states, which are good angular momentum (L) states, in a mesoscopic superconducting disk using the Ginzburg-Landau (GL) theory. At small magnetic fields the L = 0 state qual itatively behaves like the bulk sample characterized by a discontinuity in heat capacity at T-c. As the field is increased the discontinuity slowly tu rns into a continuous cl-lange which is a finite-size effect. The higher L states show a continuous change in heat capacity at T-c at all fields. We a lso show that for these higher L states, the behavior of the peak position with change in field is related to the paramagnetic Meissner effect (irreve rsible) and can lead to an unambiguous observation of positive magnetizatio n. in mesoscopic superconductors.