论文标题
掺杂三角形的莫特绝缘子中的量子相图和自发的新兴拓扑性手性超导性
Quantum Phase Diagram and Spontaneously Emergent Topological Chiral Superconductivity in Doped Triangular-Lattice Mott Insulators
论文作者
论文摘要
拓扑超导状态是一种备受追捧的量子状态,其托管拓扑顺序和Majorana激发。在这项工作中,我们探讨了使用时间反转对称性(TRS)实现掺杂的Mott绝缘子中拓扑超导性(TSC)的机制。 Through large-scale density matrix renormalization group study of an extended triangular-lattice $t$-$J$ model on the six- and eight-leg cylinders, we identify a $d+id$-wave chiral TSC with spontaneous TRS breaking, which is characterized by a Chern number $C=2$ and quasi-long-range superconducting order.我们通过调整最新的邻居(NNN)电子跳和旋转相互作用来绘制量子相图。在较弱的NNN耦合方案中,我们确定了一个伪类样相,其电荷条纹顺序与波动的超导性共存,可以通过提高掺杂水平和系统宽度来调整为$ d $ d $的超导性。 TSC出现在中间耦合方案中,该耦合方案的过渡到具有较大NNN耦合的$ d $波超导阶段。 TSC的出现是由抑制自旋相关和电荷顺序的几何挫败和孔动力学驱动的,从而导致拓扑量子相变。
The topological superconducting state is a highly sought-after quantum state hosting topological order and Majorana excitations. In this work, we explore the mechanism to realize the topological superconductivity (TSC) in the doped Mott insulators with time-reversal symmetry (TRS). Through large-scale density matrix renormalization group study of an extended triangular-lattice $t$-$J$ model on the six- and eight-leg cylinders, we identify a $d+id$-wave chiral TSC with spontaneous TRS breaking, which is characterized by a Chern number $C=2$ and quasi-long-range superconducting order. We map out the quantum phase diagram by tuning the next-nearest-neighbor (NNN) electron hopping and spin interaction. In the weaker NNN-coupling regime, we identify a pseudogaplike phase with a charge stripe order coexisting with fluctuating superconductivity, which can be tuned into $d$-wave superconductivity by increasing the doping level and system width. The TSC emerges in the intermediate-coupling regime, which has a transition to a $d$-wave superconducting phase with larger NNN couplings. The emergence of the TSC is driven by geometrical frustrations and hole dynamics which suppress spin correlation and charge order, leading to a topological quantum phase transition.