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The properties of surface plasmons localized at the interface betweengraphene and kerr-type nonlinear medium in three dimensions are investigated.Compared with surface plasmons at the surface of metal, with the inevitablenonlinear refractive effect, the confinement of plasmon can be improved tothree times than graphene plasmons without nonlinear contribution, but alsowith almost the same relative propagation length. Moreover, the dispersionrelation and propation distance of graphene plasmons can be easily controlledby changing the fermi energy, temperature and relaxation time of graphene. Ourresults suggest a simple but useful potential application for precise nonlinearmaterial sensor using graphene plasmons.

Surface plasmons at the interface between graphene and kerr-type nonlinear medium