Quantum phase diagram and topological superconductivity by doping Mott insulators on the triangular lattice

Understanding the emergence of unconventional superconductivity by doping Mott insulators and its interplay with conventional orders remains a major challenge in condensed matter physics. In this work we study the extended t-J model with three-spin chiral interactions and establish the quantum phase diagram based on large scale Density Matrix Renormalization Group simulations. With increasing next nearest neighbor hopping (t') and Heisenberg spin exchange (J'), we identify both $d+id$-wave topological superconducting state and extended d-wave topologically-trivial superconducting state, by the topological spin Chern number and pairing symmetry. Through proper bond-dimension scaling, we find that the superconducting correlations demonstrate dominant quasi-long-ranged order on wider cylinders, which may lead to different superconducting states in the 2D limit. Our results suggest that the $d+id$-wave topological superconductivity can be induced by either doping a chiral spin liquid or magnetic ordered state as the hole dynamics plays an essential role in the doping-induced topological phase transition, which provides new insights for the experimental discovery of unconventional topological superconductivity.