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arXiv · 1705.00472

Anisotropic hybrid excitation modes in monolayer and double-layer phosphorene on polar substrates

S. Saberi-Pouya·T. Vazifehshenas·T. Salavati-fard·M. Farmanbar
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Abstract

We investigate the anisotropic hybrid plasmon-SO phonon dispersion relations in monolayer and double-layer phosphorene systems located on the polar substrates, such as SiO2, h-BN and Al2O3. We calculate these hybrid modes with using the dynamical dielectric function in the RPA by considering the electron-electron interaction and long-range electric field generated by the substrate SO phonons via Frohlich interaction. In the long-wavelength limit, we obtain some analytical expressions for the hybrid plasmon-SO phonon dispersion relations which represent the behavior of these modes akin to the modes obtaining from the loss function. Our results indicate a strong anisotropy in plasmon-SO phonon modes, whereas they are stronger along the light-mass direction in our heterostructures. Furthermore, we find that the type of substrate has a significant effect on the dispersion relations of the coupled modes. Also, by tuning the misalignment and separation between layers in double-layer phosphorene on polar substrates, we can engineer the hybrid modes.

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S. Saberi-Pouya, T. Vazifehshenas, T. Salavati-fard, M. Farmanbar. 2017-05-01. Anisotropic hybrid excitation modes in monolayer and double-layer phosphorene on polar substrates. https://doi.org/10.1103/physrevb.96.115402

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