  One of the current challenges in nanoscience is tailoring phononic devices,
such as thermal regulators and thermal computing. This has long been a rather
elusive task because the thermal-switching ratio is not as high as electronic
analogs. Mapping from a topological kirigami assembly, nitrogen-doped porous
graphene metamaterials on the nanoscale are inversely designed with a
thermal-switching ratio of 27.79, which is more than double the value of
previous work. We trace this behavior to the chiral folding-unfolding
deformation, resulting in a metal-insulator transition. This study provides a
nanomaterial design paradigm to bridge the gap between kinematics and
functional metamaterials that motivates the development of high-performance
thermal regulators.
