Quantum many-body effects of two-component cold fermionic atoms in optical lattices

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We have investigated superfluid of repulsively interacting three-component fermionic atoms in optical lattices. When two of the three repulsions are stronger than the other, extended s-wave superfluid appears close to half filling. We have determined the phase diagrams of the superfluid state in terms of temperature, the ratio of the repulsions, and filling. We have shown that when the difference in the repulsions is reduced, pairing symmetry changes into a d wave. Thus, the system can be regarded as a quantum simulator for controlling pairing symmetry of superfluid. The system can be realized using 6Li fermionic atoms in optical lattices. The findings provide insights into not only the study of cold atoms, but also the study of superconductivity in correlated electron systems with multiorbitals, such as Iron-based superconductors.