Actively tuning anisotropic light-matter interaction in biaxial hyperbolic material $α$-MoO$_3$ using phase change material VO$_2$ and graphene

Anisotropic hyperbolic phonon polaritons (PhPs) in natural biaxial hyperbolic material MoO$_3$ has opened up new avenues for mid-infrared nanophotonics, while active tunability of $α$-MoO$_3$ PhPs is still an urgent problem needing to be solved.In this study, we present a theoretical demonstration of actively tuning $α$-MoO$_3$ PhPs using phase change material VO$_2$ and graphene. It is observed that $α$-MoO$_3$ PhPs are greatly depending on the propagation plane angle of PhPs. The metal-to-insulator phase transition of VO$_2$ has a significant effect on the hybridization PhPs of the $α$-MoO$_3$/VO$_2$ structure and allows to obtain an actively tunable $α$-MoO$_3$ PhPs, which is especially obvious when the propagation plane angle of PhPs is 90.

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