Bulk-edge correspondence in topological pumping
Bulk-edge correspondence in topological pumping
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DOI：
10.1103/physrevb.94.041102
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发表时间：
2016-01
影响因子：
3.7
通讯作者：
Y. Hatsugai;T. Fukui
中科院分区：
文献类型：
--
作者：
Y. Hatsugai;T. Fukui
从体边对应的观点重新讨论了拓扑泵[1-3]。作为泵浦电荷的质心(CM)的移动是由Berry连接在时间方向上明确给出的。我们证明了观察到的泵浦是由体泵浦引起的，但它的量子化是由边态引起的CM的奇异运动保证的。这就是拓扑泵浦中的体边对应。时间规范提出了泵浦电荷的规范不变量形式，并用它来建立体边对应关系。
The topological pumping [1-3] is revisited from a view point of the bulk-edge correspondence. Shift of the center of mass (CM) as a pumped charge is explicitly given by the Berry connection in time direction. We show that observed pumping is due to the bulk, but its quantization is guaranteed by singular motion of the CM caused by edge states. This is the bulk-edge correspondence in the topological pumping. A gauge invariant form of the pumped charge is proposed by the temporal gauge and is used to establish this bulk-edge correspondence.