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Topological bands in one-dimensional periodic potentials | | Yi Zheng
; Shi-Jie Yang
; | | Date: |
15 Nov 2014 | | Abstract: | We study the properties of the quantum states in the one-dimensional system
with a shifted periodic potential in both the discrete model and the continuous
model. With open boundary conditions, the edge states appear in the energy gaps
which indicate non-trivial topological structures. The Chern numbers with
respect to the Bloch vector and the potential shift angle are computed. In the
limit of the continuous model, the Chern number of each band is exactly one. We
demonstrate the particle number pumped by the adiabatically shift of the
potential is directly related to the topological invariants. | | Source: | arXiv, 1411.4099 | | Services: | Forum | Review | PDF | Favorites | |
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