论文标题
相互作用驱动的相位过渡在一维镜像受保护的拓扑绝缘子中
Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulator
论文作者
论文摘要
拓扑晶体绝缘子是物质的阶段，晶体对称性仅保护拓扑。在这项工作中，我们探讨了拓扑结晶绝缘子子类中多体相互作用的效果，即镜像对称性受保护的拓扑结晶绝缘子。采用典型的镜像对称准对象模型，我们证明了镜像对称性受保护的拓扑阶段的出现及其在存在短距离相互作用的情况下的鲁棒性。当引入长时间相互作用时，我们发现相互作用诱导的拓扑相位偏置在镜像受保护的拓扑秩和微不足道的电荷密度波之间。使用密度 - 矩阵的重归其化组和适用限制的量子蒙特卡洛模拟获得了结果。
Topological crystalline insulators are phases of matter where the crystalline symmetries solely protect the topology. In this work, we explore the effect of many-body interactions in a subclass of topological crystalline insulators, namely the mirror-symmetry protected topological crystalline insulator. Employing a prototypical mirror-symmetric quasi-one-dimensional model, we demonstrate the emergence of a mirror-symmetry protected topological phase and its robustness in the presence of short-range interactions. When longer-range interactions are introduced, we find an interaction-induced topological phase transition between the mirror-symmetry protected topological order and a trivial charge density wave. The results are obtained using density-matrix renormalization group and quantum Monte-Carlo simulations in applicable limits.
