Spin-mediated Mott excitons

Motivated by recent experiments on Mott insulators, in both iridates and ultracold atoms, we theoretically study the effects of magnetic order Mott-Hubbard excitons. In particular, focus spin-mediated doublon-holon pairing Hubbard materials. We use several complementary theoretical techniques: Mean-field theory to describe spin degrees freedom, self-consistent Born approximation characterize individual charge excitations across gap, Bethe-Salpeter equation identify bound states doublons holons. The binding energy exciton is found increase with increasing N\'eel parameter, whereas mass decreases. observe that these trends rely significantly retardation effective interaction, require consideration multiple from changing order. Our results are consistent key qualitative observed iridates. Moreover, findings could have direct implications atom insulators where model exact description system microscopic freedom can be directly accessed.