  Thermal conductivity of homogeneous twisted stacks of graphite is found to
strongly depend on the misfit angle. The underlying mechanism relies on the
angle dependence of phonon-phonon couplings across the twisted interface.
Excellent agreement between the calculated thermal conductivity of narrow
graphitic stacks and corresponding experimental results indicates the validity
of the predictions. This is attributed to the accuracy of interlayer
interactions descriptions obtained by the dedicated registry-dependent
interlayer potential used. Similar results for h-BN stacks indicate overall
higher conductivity and reduced misfit angle variation. This opens the way for
the design of tunable heterogeneous junctions with controllable heat-transport
properties ranging from substrate-isolation to efficient heat evacuation.
