Asymmetric magnetization reversal behavior and noncollinear anisotropies in exchange-bias system

► The noncollinear anisotropies can lead to the asymmetry of hysteresis loop. ► The hysteresis loop always symmetry for the magnetic field along the anisotropy axis. ► The asymmetry of hysteresis loop always follows the inequivalence of magnetization. ► There is a π periodicity for asymmetry of the hysteresis loop for the FM/AFM bilayer.