The coupling effects of surface plasmons and Fermi arc plasmons in Weyl semimetals

Abstract

We study the effects of coupling between surface plasmon and Fermi arc plasmon modes on a planar surface of the Weyl semimetal. A model Hamiltonian is proposed in the second quantization representation for the system of coupled surface plasmon and Fermi arc plasmon modes. We obtain the dispersion relations of coupled modes using the Bogoliubov transformation technique. We identify the upper coupled mode as the renormalized surface plasmon and the lower coupled mode as the renormalized Fermi arc plasmon. It is shown how the magnitude of the coupling depends on both the bare mode dispersions and their dampings. We also demonstrate that coupling increases the surface plasmon mode lifetime. Obtained results for the surface plasmon mode are qualitatively consistent with the recent experimental data of Weyl semimetals.

Non-linear Hall effect in multi-Weyl semimetals

“…Multi-Weyl semimetals have been predicted to show many interesting properties such as chiral effects, anomalous transport phenomena and distinct optical signatures [59][60][61][62][63][64][65][66][67][68][69][70][71][72][73]. There have been a number of interesting recent studies on optical response of Weyl semimetals [74][75][76][77][78][79][80][81][82]. Weyl semimetals are a special class of materials that have strong spin-orbit coupling that modulates band anti-crossings and band inversion to give large BCD and strong non-linear Hall effects.…”