Exploring the relationship between the magnetic frustration and the emergence of FFLO state on a triangular lattice

► The formation of the FFLO state on the anisotropic triangular lattices is investigated. ► Focus on the required lower critical magnetic field to enter the FFLO state. ► Magnetic frustration facilitates the formation of the FFLO state. ► Layered organic superconductors are good candidates for exploring the FFLO state.