New superconducting state of the Anderson-lattice model

We discuss the possible existence of a new superconducting state, the two-component superconducting (TCSC) state, of the Anderson-lattice model, when the antiferromagnetic Heisenberg exchange energy $J_H$ generated by the hybridization between the conduction band and localized orbitals exceeds a constant multiple of the Kondo energy $k_B$ $T_K$. In this new state, holes in both the conduction band and localized orbitals exhibit two-particle off-diagonal long-range order, and the condensate wave function is a coherent mixture of both types of singlet pairs. We propose that the TCSC phase is a possible candidate for the superconducting phase in the high-$T_c$ copper oxides.