Innermost stable circular orbit of spinning particles around a rotating black hole surrounded by perfect fluid dark matter

In this paper, we investigate the innermost stable circular orbit (ISCO) of spinning particles around a rotating black hole surrounded by the perfect fluid dark matter (PFDM). The motion of spinning particles is derived by Mathisson–Papapetrou–Dixon equation and the ISCO parameters are obtained by the radial effective potential. The effect of PFDM density parameter on the motion of spinning particles is analyzed. The results show that the effect of PFDM is nonlinear, and the radius of ISCO varies nonmonotonically with PFDM density parameter.