Van Alphen-de Haas effect for dense cold quark matter in a homogeneous magnetic field

We study the relativistic van Alphen--de Haas effect in cold dense quark matter in a homogeneous magnetic field which arises from oscillations in the effective potential of an underlying extended NJL-model. Finally, we discuss the phase structure of the model in the parameter plane $(\mu,H)$ and the solution of the mass gap equation.