论文标题
本质上相互作用的高阶拓扑超导体
Intrinsically Interacting Higher-Order Topological Superconductors
论文作者
论文摘要
我们为二维类-D $高阶拓扑超导体提供了最小的相互作用晶格模型，而没有自由屈光度。提出了Lieb-Schultz-Mattis型约束，并应用于指导我们的晶格模型构建。我们的模型在弱相互作用的方向上表现出微不足道的产物基态，而增加的电子相互作用会引起新型的拓扑量子相变为$ d_4 $ symmemempric的高阶拓扑超导状态。用矩阵 - 产品状态技术在数值上确认了对称性保护的Majorana角模式。我们的理论铺平了研究与显式晶格模型结构相互作用的高阶拓扑结构的方式。
We propose a minimal interacting lattice model for two-dimensional class-$D$ higher-order topological superconductors with no free-fermion counterpart. A Lieb-Schultz-Mattis-type constraint is proposed and applied to guide our lattice model construction. Our model exhibits a trivial product ground state in the weakly interacting regime, whereas, increasing electron interactions provoke a novel topological quantum phase transition to a $D_4$-symmetric higher-order topological superconducting state. The symmetry-protected Majorana corner modes are numerically confirmed with the matrix-product-state technique. Our theory paves the way for studying interacting higher-order topology with explicit lattice model constructions.
