Harper-Heisenberg自旋链中的拓扑自旋激发
Topological spin excitations in Harper-Heisenberg spin chains
摘要：
多体自旋系统代表了在强相互作用体系中实现物质涌现态的一个范例平台。自旋模型通常是在一维周期链中研究的，其晶格常数与原子间距离近似。然而，在冷原子装置或功能化扭曲范德华异质结构中，可以设计自旋物理的远程调制。在这里，我们表明，这样的超晶格调制在多体自旋哈密顿可以引起可观察到的拓扑边界模式的自旋链的激发光谱。在XY自旋- $1/2$链的情况下，这些边界模式源于与二维量子霍尔态的手征边缘模式的数学对应。我们的结果表明，多体相互作用的增加并不能缩小激发谱中的一些拓扑间隙，并且拓扑边界模式明显持续存在于各向同性海森堡极限。当自旋力矩增加时，这些观测结果得以实现，并且建立了该现象的大自旋极限。我们的研究结果表明，这样的自旋超晶格提供了一个有前途的路线，观察多体拓扑边界效应在冷原子设置和功能化扭曲范德华材料。
英文摘要：
Many-body spin systems represent a paradigmatic platform for the realization of emergent states of matter in a strongly interacting regime. Spin models are commonly studied in one-dimensional periodic chains, whose lattice constant is on the order of the interatomic distance. However, in cold atomic setups or functionalized twisted van der Waals heterostructures, long-range modulations of the spin physics can be engineered. Here we show that such superlattice modulations in a many-body spin Hamiltonian can give rise to observable topological boundary modes in the excitation spectrum of the spin chain. In the case of an XY spin-$1/2$ chain, these boundary modes stem from a mathematical correspondence with the chiral edge modes of a two-dimensional quantum Hall state. Our results show that the addition of many-body interactions does not close some of the topological gaps in the excitation spectrum, and the topological boundary modes visibly persist in the isotropic Heisenberg limit. These observations carry through when the spin moment is increased and a large-spin limit of the phenomenon is established. Our results show that such spin superlattices provide a promising route to observe many-body topological boundary effects in cold atomic setups and functionalized twisted van der Waals materials.
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