  It has recently been demonstrated that MoS2 with irregular interlayer
rotations can achieve an extreme anisotropy in the lattice thermal conductivity
(LTC), which is for example of interest for applications in waste heat
management in integrated circuits. Here, we show by atomic scale simulations
based on machine-learned potentials that this principle extends to other
two-dimensional materials including C and BN. In all three materials
introducing rotational disorder drives the through-plane LTC to the glass
limit, while the in-plane LTC remains almost unchanged compared to the ideal
bulk materials. We demonstrate that the ultralow through-plane LTC is connected
to the collapse of their transverse acoustic modes in the through-plane
direction. Furthermore, we find that the twist angle in periodic moir\'e
structures representing rotational order provides an efficient means for tuning
the through-plane LTC that operates for all chemistries considered here. The
minimal through-plane LTC is obtained for angles between 1 and 4 degree
depending on the material, with the biggest effect in MoS2. The angular
dependence is correlated with the degree of stacking disorder in the materials,
which in turn is connected to the slip surface. This provides a simple
descriptor for predicting the optimal conditions at which the LTC is expected
to become minimal.
