our method can apply to the other kinds of matter, e.g., stiff matter, radiation and so on, for the EoS of this mat- ter will be modified in the effective region in loop quan- tum cosmology, just as Singh shown [27]. But this model can not describe the thermodynamics properties of cos- mological constant with the constant EoS -1. Although the EoS of cosmological constant will be modified in the effective region, just as Eq.(20) described. The temper- ature of cosmological constant today is still unclear, so the term T$_{0}$/ ( ω$_{0}$ + 1) in Eq.(38) will be divergent for ω$_{sc}$ 

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## Acknowledgments 

