Supoerconductiviy in the doped chiral spin liquid on triangular lattice*

Theory proposes that doping chiral spin liquid (CSL) can give rise to topological superconductivity. Yet it has been extensively studied in the past, definitive evidences showing this has been lacking. We address this problem by studying the t-J model supplemented by spin chiral interaction (with coupling J_χ) on the triangular lattice using density-matrix renormalization group. It has been established that the ground state of the system at half-filling is a CSL when 0.32≤J_χ/J≤0.56, or equivalently ν=1/2 bosonic fractional quantum Hall state. Interestingly, we find that the ground state of the system upon light doping the CSL is consistent with a Luther-Emery liquid, which is characterized by quasi-long-range superconducting and charge-density-wave correlations but with a finite spin gap and one gapless charge mode. Furthermore, we show that the superconducting correlations are the dominant correlations and its pair symmetry is consisent with d+id-wave.