Sources of quantized excitations via dichotomic topological cycles
Sources of quantized excitations via dichotomic topological cycles
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DOI：
10.1103/physrevb.107.165159
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发表时间：
2022-01
影响因子：
3.7
通讯作者：
Bryan Leung;E. Prodan
中科院分区：
文献类型：
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作者：
Bryan Leung;E. Prodan
我们证明了在经历拓扑绝热循环的一维链中存在概念上不同的拓扑抽运现象。具体地说，对于两个在相反方向循环的半无限链的堆栈，并在一个边缘通过间隙势耦合，我们推导了一个高阶体边界对应关系，该对应关系与单个无限链的绝热循环相关的体陈氏数和在半无限链之间转移的电子数有关。用两个投影的相对指数表示了这种关系，并用k理论计算证明了这种关系。用Rice-Mele模型举例说明了这一现象，并讨论了经典自由度和量子自由度的可能实验实现。
We demonstrate the existence of a conceptually distinct topological pumping phenomenon in one-dimensional chains undergoing topological adiabatic cycles. Specifically, for a stack of two semi-infinite chains cycled in opposite directions and coupled at one edge by a gapping potential, we derive a higher-order bulk-boundary correspondence that relates the bulk Chern number associated with the adiabatic cycle of a single infinite chain and the number of electrons transferred between the semi-infinite chains. The relation is formulated using the relative index of two projections and proven using K-theoretic calculations. The phenomenon is exemplified using the Rice-Mele model and possible experimental implementations with classical and quantum degrees of freedom are discussed.