  The self-consistent quasiparticle model has been successful in studying QCD
thermodynamics. In this model, the medium effects are taken into account by
considering quarks and gluons as quasiparticles with temperature-dependent
masses which are proportional to the plasma frequency. The present work
involves the extension of this model in the presence of magnetic fields. We
have included the effect of the magnetic field by considering relativistic
Landau Levels. The quasiparticle masses are then found to be dependent on both
temperature and magnetic field. The thermomagnetic mass thus defined allows
obtaining the thermodynamics of magnetized quark matter within the
self-consistent quasiparticle model. The model then has been applied to the
case of 2-flavor Quark-Gluon Plasma and the equation of state obtained in the
presence of magnetic fields.
