  We study a dual flavor fermion model where each of the flavors form a
Sachdev-Ye-Kitaev (SYK) system with arbitrary and possibly distinct $q$-body
interactions. The crucial new element is an arbitrary all-to-all $r$-body
interaction between the two flavors. At high temperatures the model shows a
strange metal phase where both flavors are gapless, similar to the usual single
flavor SYK model. Upon reducing temperature, the coupled system undergoes phase
transitions to previously unseen phases - first, a strange half metal (SHM)
phase where one flavor remains a strange metal while the other is gapped, and,
second, a Mott insulating phase where both flavors are gapped. At a fixed low
temperature we obtain transitions between these phases by tuning the relative
fraction of sites for each flavor. We discuss the physics of these phases and
the nature of transitions between them. This work provides an example of an
instability of the strange metal with potential to provide new routes to study
strongly correlated systems through the rich physics contained in SYK like
models.
