Magnetic extrema in electronic susceptibility and heat capacity of mesoscopic systems

Oscillating behaviour of the susceptibility and heat capacity is considered for normal and superconducting mesoscopic systems (nanoclusters and quantum dots). It is proved that at low temperature an increasing magnetic field applied to a mesoscopic system generates local extrema of the susceptibility and heat capacity. A maximum for the susceptibility and a minimum for heat capacity simultaneously arise in those points of the field where crossings of quantum levels of the normal and superconducting mesoscopic systems take place.