The mechanism of unconventional topological superconductivity (TSC) remains a long-standing issue. We investigate the quantum phase diagram of the extended $t\text{−}J\text{−}{J}_{\chi }$ model including spin chiral interactions on triangular lattice based on state-of-the-art density matrix renormalization group simulations. We identify distinct classes of superconducting phases characterized by nonzero topological Chern numbers $C=1$ and 2 and a nematic $d$-wave superconducting phase with a zero Chern number. The TSC states are shown to emerge from doping either a magnetic insulator or chiral spin liquid, which opens new opportunities for experimental discovery. In addition, we further classify the $C=2$ class of TSC phases into an isotropic and a nematic TSC phase and present evidence of continuous quantum phase transitions from the nematic TSC phase to both isotropic TSC and nematic $d$-wave phases. These results provide new insight into the mechanism of TSC with an emphasis on the role played by hole dynamics, which changes spin background and drives a topological phase transition at a hole doping level around 3% upon doping a magnetic insulator to enable the emergence of TSC.

中文翻译：

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通过在三角晶格上掺杂莫特绝缘体实现拓扑手性和向列超导

非常规拓扑超导（TSC）的机制仍然是一个长期存在的问题。我们研究了扩展的量子相图$吨\text{-}Ĵ\text{-}{Ĵ}_{\chi }$模型包括基于最先进的密度矩阵重整化组模拟的三角晶格上的自旋手性相互作用。我们确定了以非零拓扑陈数为特征的不同类别的超导相$C=1$和 2 和一个向列$d$具有零陈数的波超导相。TSC 状态显示来自掺杂磁绝缘体或手性自旋液体，这为实验发现开辟了新的机会。此外，我们进一步分类$C=2$将 TSC 相分类为各向同性和向列 TSC 相，并提供从向列 TSC 相到各向同性 TSC 和向列相的连续量子相变的证据$d$-波阶段。这些结果为 TSC 的机制提供了新的见解，重点是空穴动力学所起的作用，它改变了自旋背景，并在掺杂磁绝缘体时在 3% 左右的空穴掺杂水平上驱动拓扑相变，以实现 TSC 的出现.