  We address Coulomb drag and near-field heat transfer in a double-layer system
of incoherent metals. Each layer is modeled by an array of tunnel-coupled SYK
dots with random inter-layer interactions. Depending on the strength of
intra-dot interactions and inter-dot tunneling, this model captures the
crossover from the Fermi liquid to a strange metal phase. The absence of
quasiparticles in the strange metal leads to temperature-independent drag
resistivity, which is in strong contrast with the quadratic temperature
dependence in the Fermi liquid regime. We show that all the parameters can be
independently measured in near-field heat transfer experiments, performed in
Fermi liquid and strange metal regimes.
