Constraint on the magnetic field for the stable strange quark matter

The quasiparticle model is employed to investigate the quark matter at finite chemical potential. The effective bag constant is derived to depend on both the chemical potential and the magnetic field. The self-consistent thermodynamics is satisfied such that the minimum free energy corresponds to zero pressure. It is shown that the strong magnetic field is beneficial for the stabilization of the strange quark matter. However, the increase in the vacuum bag constant could reduce the stability. We propose that for the absolutely stable strange quark matter, there is a lower limit of the allowed magnetic field, which competes with the vacuum bag constant.