  Based on full-wave scattering theory with self-consistent mean field
approximation, we study the optical multi-stability of graphene-wrapped
dielectric nanoparticles. We demonstrate that the optical bistability (OB) of
the graphene-wrapped nanoparticle exist in both near-field and far-field
spectra, and show the optical multi-stability arising from the contributions of
higher-order terms of the incident external field. Moreover, both the optical
stable region and the switching threshold values can be tuned by changing
either the Fermi level or the size of the nanoparticle. Our results promise the
graphene-wrapped dielectric nanoparticle a candidate of multi-state optical
switching, optical memories and relevant optoelectronic devices.
