All-angle negative refraction of highly squeezed plasmon and phonon polaritons in graphene–boron nitride heterostructures

Significance Realizing negative refraction of highly squeezed polaritons is an important step toward the active manipulation of light at the extreme nanoscale. To realize negative refraction, an effective means to tailor the coupling of different polaritons is absolutely necessary yet undeveloped. Here, we predict a viable way to flip the sign of group velocities of hybrid plasmon–phonon–polaritons in graphene–boron nitride (BN) heterostructures. The polaritonic strong coupling enables the all-angle negative refraction phenomena between highly squeezed graphene’s plasmons, BN’s phonon polaritons, and their hybrid polaritons. Due to the combined advantages of tunability, low loss, and ultrahigh confinement provided by these polaritons, graphene–BN heterostructures thus provide fundamental tools to explore the manipulation of light at the extreme nanoscale. A fundamental building block for nanophotonics is the ability to achieve negative refraction of polaritons, because this could enable the demonstration of many unique nanoscale applications such as deep-subwavelength imaging, superlens, and novel guiding. However, to achieve negative refraction of highly squeezed polaritons, such as plasmon polaritons in graphene and phonon polaritons in boron nitride (BN) with their wavelengths squeezed by a factor over 100, requires the ability to flip the sign of their group velocity at will, which is challenging. Here we reveal that the strong coupling between plasmon and phonon polaritons in graphene–BN heterostructures can be used to flip the sign of the group velocity of the resulting hybrid (plasmon–phonon–polariton) modes. We predict all-angle negative refraction between plasmon and phonon polaritons and, even more surprisingly, between hybrid graphene plasmons and between hybrid phonon polaritons. Graphene–BN heterostructures thus provide a versatile platform for the design of nanometasurfaces and nanoimaging elements.

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