  Oscillatory effects in magnetic susceptibility of free electrons in a strong
magnetic field is well known phenomenon and is well captured by
Lifshitz-Kosevich formula. In this paper we point out similar oscillatory
effects in Stoner susceptibility which makes the system to oscillate between
paramagnetic phase and ferromagnetic phase alternatively as a function of
external magnetic field strength. This effect can happen in a material which is
tuned near to its magnetic instability. We suggest an experimental set-up to
observe this effect. We also suggest that our result can be exploited to
control a quantum critical system around its quantum critical point to study
its thermodynamical or transport properties.
