论文标题
映射准周期相互作用的旋转链中的Chern数字
Mapping Chern numbers in quasi-periodic interacting spin chains
论文作者
论文摘要
最近发现准周期性量子自旋链支持有限磁化扇区中的许多拓扑阶段。他们可以在任意维度中模拟A类中的强拓扑阶段，这些阶段的特征是Chern数字。在目前的工作中，我们使用这些发现在有限的磁化密度下生成拓扑阶段，该磁力磁化密度含有首先Chern数字。鉴于旋转链的尺寸降低，这为研究了相互作用的情况提供了一个独特的机会，可以研究散装 - 结合对应关系以及Chern数量的稳定性和量化。后来使用对可观察物的代数的圆环作用进行了重新制定，其量化和稳定性通过数值模拟证实。还讨论了Chern值与观察到的边缘光谱之间的关系。
Quasi-periodic quantum spin chains were recently found to support many topological phases in the finite magnetization sectors. They can simulate strong topological phases from class A in arbitrary dimension that are characterized by first and higher order Chern numbers. In the present work, we use those findings to generate topological phases at finite magnetization densities that carry first Chern numbers. Given the reduced dimensionality of the spin chains, this provides a unique opportunity to investigate the bulk-boundary correspondence as well as the stability and quantization of the Chern number in the presence of interactions. The later is reformulated using a torus action on the algebra of observables and its quantization and stability is confirmed by numerical simulations. The relations between Chern values and the observed edge spectrum are also discussed.
