  In nonzero magnetic field, the magnetic properties and thermodynamics of the
quantum-chromodynamic (QCD) matter is studied in the hadron resonance gas and
the Polyakov linear-sigma models and compared with recent lattice calculations.
Both models are fairly suited to describe the degrees of freedom in the
hadronic phase. The partonic ones are only accessible by the second model. It
is found that the QCD matter has paramagnetic properties, which monotonically
depend on the temperature and are not affected by the hadron-quark
phase-transition. Furthermore, raising the magnetic field strength increases
the thermodynamic quantities, especially in the hadronic phase but reduces the
critical temperature, i.e. inverse magnetic catalysis.
