Exciton condensation in incoherent semimetals.

We address the formation of exciton condensation in two coupled wires with incoherent fermions. Each wire is described by a two-band dispersive SYK model at half filling with quadratic dispersion and infinite band width. In the normal state, the model has near conformal symmetry and describes an incoherent semimetal with sublinear T^2/5 temperature dependence of the resistivity. We show that the formation of indirect exciton condensation between the two wires can be solved exactly in the large N limit. We find that the condensation temperature scales as U⁵, with U the strength of the repulsive coupling between the two wires.