It has recently been
demonstrated that MoS
2
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 those of 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 moiré
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° depending on the material,
with the biggest effect in MoS
2
. 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.