论文标题
拓扑莫特绝缘子中的自我捕获的极性子和拓扑缺陷
Self-Trapped Polarons and Topological Defects in a Topological Mott Insulator
论文作者
论文摘要
拓扑量子系统中的多体相互作用会导致物质的新阶段，这些阶段同时表现出丰富的空间特征和拓扑特性。在这项工作中，我们考虑在棋盘格晶格上无旋转的费米子，该棋盘格晶格与最接近的邻居相互作用。我们计算一半填充的相图，尤其是相互作用引起的量子异常霍尔相。我们使用不受限制的Hartree-fock Ansatz研究系统，并在相互作用诱导的拓扑绝缘子上方报告了丰富的解决方案的动物园，例如自捕获的极性壁和域壁。我们发现，由于相互作用诱导的拓扑结构和拓扑缺陷之间的相互作用，这些域壁将两个阶段与相反的拓扑不变性和宿主受拓扑受保护的手性手性边缘状态分开。最后，我们讨论了基于光学晶格中基于激光穿过的rydberg原子的量子模拟器中这些新现象的实验前景。
Many-body interactions in topological quantum systems can give rise to new phases of matter, which simultaneously exhibit both rich spatial features and topological properties. In this work, we consider spinless fermions on a checkerboard lattice with nearest and next-to-nearest neighbor interactions. We calculate the phase diagram at half filling, which presents, in particular, an interaction-induced quantum anomalous Hall phase. We study the system at incommensurate fillings using an unrestricted Hartree-Fock ansatz and report a rich zoo of solutions such as self-trapped polarons and domain walls above an interaction-induced topological insulator. We find that, as a consequence of the interplay between the interaction-induced topology and topological defects, these domain walls separate two phases with opposite topological invariants and host topologically protected chiral edge states. Finally, we discuss experimental prospects to observe these novel phenomena in a quantum simulator based on laser-dressed Rydberg atoms in an optical lattice.
