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We report the existence of previously unreported magnetic modes withrecord-high magnetic Purcell factors in topological-insulator nanospheres.Focusing on Bi$_{2}$Se$_{3}$, and based on full electromagnetic Mie theory, wefind magnetic modes arising from the surface current on the conductive surfaceof the topological insulator due to the existence of delocalized surfacestates. These currents are induced by electrons in the topologically protectedstates within the Dirac cone. Furthermore, we demonstrate that the Diracplasmon polaritons resulting from the interaction between THz photons and Diracelectrons dramatically influence both the electric and the magnetic transitionsof quantum emitters placed near Bi$_2$Se$_3$ nanospheres, providingsignificantly enhanced Purcell factors and entering the strong-coupling regime.These findings indicate that Bi$_{2}$Se$_{3}$ nanospheres exhibit a richoptical response, stemming from both bulk and topologically protected surfacestates, making them promising candidates for enhancing strong light--matterinteractions in the fields of nanophotonics and THz technologies.

Dirac plasmon polaritons and magnetic modes in topological-insulator nanoparticles