The Minimum Model for the Iron-Based Superconductors

A single band t-U-J₁-J₂ model is proposed as the minimum model to describe the superconductivity of the newly discovered iron-based superconductors
R(O_1-xF_x)FeAs and RO_1-xFeAs (R=La, Ce, Sm, Pr, Nd, Gd). With the mean-field approach, it is found that the pairing occurs in the d-wave channel. In the likely parameter region of the real materials, by lowering temperature, the system enters firstly the d_xy superconducting phase with D_4h-symmetry
and then enters the time-reversal-symmetry-broken d^_xy+id_x²-y² superconducting phase with C_4h-symmetry.