  We analyze the localization properties of the disordered Hubbard model in the
presence of a synthetic magnetic field. An analysis of level spacing ratio
shows a clear transition from ergodic to many-body localized phase. The
transition shifts to larger disorder strengths with increasing magnetic flux.
Study of dynamics of local correlations and entanglement entropy indicates that
charge excitations remain localized whereas spin degree of freedom gets
delocalized in the presence of the synthetic flux. This residual ergodicity is
enhanced by the presence of the magnetic field with dynamical observables
suggesting incomplete localization at large disorder strengths. Furthermore, we
examine the effect of quantum statistics on the local correlations and show
that the long-time spin oscillations of a hard-core boson system are destroyed
as opposed to the fermionic case.
