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Paper   IPM / Physic / 12336
School of Physics
  Title:   Slave-Spin Approach to the Strongly Correlated Systems
1.  M. Mardani
2.  M. S. Vaezi
3.  A. Vaezi
  Status:   Preprint
  Year:  2012
  Supported by:  IPM
In this paper, we develop a new type of slave particle method which is similar to the slave rotor model except that the quantum rotor is substituted by a spin one slave particle. The spin-one slave particle itself can be represented in terms of Schwinger bosons/fermions. This approach is more conveniently applicable to the strongly correlated Hamiltonians with on-site Hubbard interaction and resolves the limitations of using the slave rotor model as well as the Anderson-Zou slave particle technique. For instance, the mean-field parameters of the slave spin method do not vanish above the Mott transition and this approach is smoothly connected to the non-interacting limit. As an example, we study the phase diagram of the Kane-Mele-Hubbard model using our current approach. In the absence of the spin-orbit interaction, the Mott transition occurs at Uc   3 t1. Several aspects of the slave spin method, its gauge theory and various possible mean-field states associated with this approach have been discussed.

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