Plasmon–phonon coupling in graphene–hyperbolic bilayer heterostructures

Yin Ge, Yuan Jun, Jiang Wei, Zhu Jianfei, Ma Yungui^†,

Real (k_x) and imaginary (κ) part momentums of the bounded modes in graphene (a), hBN (b) and the hybrid structure (c). Three different Fermi energy levels (E_F = 0.1, 0.3, 0.5 eV) for graphene have been considered. (d) The life-time τ and group velocity V_g of the hybrid polaritons at different E_F. The frequency ranges in panels (b) and (d) correspond to the type-II band of hBN.