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In this paper, we develop a new type of slave particle method which issimilar to the slave rotor model except that the quantum rotor is substitutedby a spin one slave particle. The spin-one slave particle itself can berepresented in terms of Schwinger bosons/fermions. This approach is moreconveniently applicable to the strongly correlated Hamiltonians with on-siteHubbard interaction and resolves the limitations of using the slave rotor modelas well as the Anderson-Zou slave particle technique. For instance, themean-field parameters of the slave spin method do not vanish above the Motttransition and this approach is smoothly connected to the non-interactinglimit. As an example, we study the phase diagram of the Kane-Mele-Hubbard modelusing our current approach. In the absence of the spin-orbit interaction, theMott transition occurs at $U_c ~ 3 t_1$. Several aspects of the slave spinmethod, its gauge theory and various possible mean-field states associated withthis approach have been discussed.

Slave-spin approach to the strongly correlated systems