In one-dimensional chains of trapped Rydberg excitons in cuprous oxide semiconductor the topological spin phase has been recently predicted [Phys. Rev. Lett. 123, 126801 (2019)]. This phase is characterized by the diluted antiferromagnetic order of $p$-shell exciton angular momenta-1 and the edge states behaving akin to spin-$1/2$ fermions. Here we study the properties of the ground state in the finite chains and its fine structure resulting from the effective interaction of the edge spins. We demonstrate that these edge states can be detected optically via the enhancement of the circular polarization of the edge emission as compared with the emission from the bulk. We calculate the distribution of the exciton angular momentum vs. trap number in the chain numerically and analytically based on the variational ansatz.

中文翻译：

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Cu2O中俘获的Rydberg激子的拓扑自旋相的极化边缘态发射

在氧化亚铜半导体中被捕获的里德堡激子的一维链中，最近已经预测了拓扑自旋相[物理学报。牧师 123，126801（2019）]。该相的特征在于稀释的反铁磁阶为$p$壳激子角矩a-1和边缘状态类似于自旋$\mathrm{1个}/2$费米子。在这里，我们研究了有限链中基态的性质及其由于边缘自旋的有效相互作用而产生的精细结构。我们证明，与来自主体的发射相比，可以通过增强边缘发射的圆偏振来光学检测这些边缘状态。我们基于变质ansatz数值和分析地计算了链中激子角动量与陷阱数的分布。