论文标题
三角晶格上掺杂的手性旋转液体中的拓扑超导性
Topological superconductivity in the doped chiral spin liquid on the triangular lattice
论文作者
论文摘要
长期以来，一直有人提出，掺杂手性旋转液体（CSL）或分数量子霍尔状态可以引起拓扑超导性。尽管付出了强烈的努力，但仍然缺乏确定性的证据。我们通过研究$ t $ -j $ J $模型来解决这个问题，该模型是通过使用密度 - 密度 - 晶状体rentalizatization the Time-vers-vers-symmetry Breaking Breaking Mather互动的$J_χ$，具有有限的浓度$Δ$Δ$Δ$。已经确定，未满足的，即$δ$ = 0，系统在参数区域中具有CSL接地状态$ 0.32 \ lej_χ/j \ le 0.56 $。光线掺杂后，我们发现系统的基态与路德·埃默里（Luther-Emery）液体具有幂律超导和电荷密度波相关性，但短距离自旋旋转相关性是一致的。特别是，与$ d \ pm id $ - 波的配对对称性相一致的超导相关性在所有孔掺杂浓度上都占主导地位。我们的结果提供了直接的证据，即在三角形晶格上掺杂CSL可以自然产生拓扑超导性。
It has long been proposed that doping a chiral spin liquid (CSL) or fractional quantum Hall state can give rise to topological superconductivity. Despite of intensive effort, definitive evidences still remain lacking. We address this problem by studying the $t$-$J$ model supplemented by time-reversal symmetry breaking chiral interaction $J_χ$ on the triangular lattice using density-matrix renormalization group with a finite concentration $δ$ of doped holes. It has been established that the undoped, i.e., $δ$=0, system has a CSL ground state in the parameter region $0.32\le J_χ/J \le 0.56$. Upon light doping, we find that the ground state of the system is consistent with a Luther-Emery liquid with power-law superconducting and charge-density-wave correlations but short-range spin-spin correlations. In particular, the superconducting correlations, whose pairing symmetry is consistent with $d\pm id$-wave, are dominant at all hole doping concentrations. Our results provide direct evidences that doping the CSL on the triangular lattice can naturally give rise to topological superconductivity.
