We propose multilayer moiré structures in strong external magnetic fields as a novel platform for realizing highly tunable, frustrated Hubbard physics with topological order. Identifying the layer degree of freedom as a pseudospin allows us to retain SU(2) symmetry while controlling ring-exchange processes and concurrently quenching the kinetic energy by large external magnetic fields. This way, a broad class of interacting Hubbard-Hofstadter states and their transitions can be studied. Remarkably, in the limit of strong interactions the system becomes Mott insulating and we find chiral pseudospin-liquid phases which are induced by the magnetic field. We find that this topologically ordered state remains exceptionally stable toward relevant perturbations. We discuss how layer pseudospin can be probed in near-term experiments. As the magnetic flux can be easily tuned in moiré systems, our approach provides a promising route toward the experimental realization and control of topologically ordered phases of matter.

中文翻译：

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莫尔异质结构中的手性赝自旋液体

我们提出强外部磁场中的多层莫尔结构作为一种新颖的平台，用于实现具有拓扑顺序的高度可调谐、受抑哈伯德物理。将层自由度识别为赝自旋使我们能够保留 SU(2) 对称性，同时控制环交换过程并同时通过大的外部磁场淬灭动能。通过这种方式，可以研究一类广泛的相互作用的哈伯德-霍夫施塔特态及其转变。值得注意的是，在强相互作用的限制下，系统变得莫特绝缘，并且我们发现了由磁场感应的手性赝自旋液相。我们发现这种拓扑有序状态对于相关扰动仍然异常稳定。我们讨论如何在近期实验中探测层赝自旋。由于磁通量可以在莫尔系统中轻松调节，因此我们的方法为实验实现和控制物质的拓扑有序相提供了一条有希望的途径。