  We explore layered strongly correlated materials as a platform to identify
and control unconventional heat transfer phenomena. We demonstrate that these
systems can be tailored to sustain a wide spectrum of heat transport regimes,
ranging from ballistic, to hydrodynamic all the way to diffusive. Within the
hydrodynamic regime, wave-like temperature oscillations are predicted up to
room temperature. All the above phenomena have a purely electronic origin,
stemming from the existence of two components in the electronic system, each
one thermalized at different temperatures. The interaction strength can be
exploited as a knob to control the different thermal transport regimes. The
present results pave the way to transition-metal oxide heterostructures as
building blocks for nanodevices exploiting the wave-like nature of heat
transfer on the picosecond time scale.
