标题： 由一维莫尔势引起的再入拓扑相和自旋密度波 显示英文标题

标题： Reentrant topological phases and spin density wave induced by 1D moiré potentials

摘要： 最近对二维莫尔材料的研究为推进凝聚态物理打开了机会。 然而，一维莫尔势对拓扑和相关相的影响仍大多未被探索。 在这里，我们揭示了由自旋-1/2费米原子的一维共格莫尔势引起的平凡到拓扑的转变序列以及周期性莫尔自旋密度波。 这种从平凡相重新出现的拓扑性在没有莫尔势的情况下是不存在的，可以理解为莫尔强度对拓扑参数的重整化。 然后，我们揭示了单粒子本征态的临界指数和局域化特性。 多体基态的周期性自旋密度波是由莫尔势产生的，并且被局域相互作用增强，但被最近邻相互作用抑制。 我们的结果丰富了在一维莫尔系统中具有多种转变和自旋密度序的拓扑物理，所提出的模型的实现有望在不久的将来的超冷原子装置中实现。 显示英文摘要

摘要： Recent studies of 2D moir\'e materials have opened opportunities for advancing condensed matter physics. However, the effect of 1D moir\'e potentials on topological and correlated phases remains largely unexplored. Here we reveal a sequence of trivial-to-topological transitions and periodic-moir\'e-spin density waves induced by the 1D commensurate moir\'e potentials for spin-1/2 fermionic atoms. Such reentrant topology from a trivial phase is absent without the moir\'e potential and can be understood as the renormalization of topological parameters by the moir\'e strength. We then unveil the critical exponent and localization properties of the single-particle eigenstates. The periodic spin density wave of many-body ground states is contributed by the moir\'e potential, and is enhanced by on-site interactions but suppressed by nearest-neighbor interactions. Our results enrich the topological physics with multiple transitions and spin-density orders in 1D moir\'e systems, and the realization of the proposed model is promising in near-future ultracold atom setups.