| Topological hierarchy matters — topological matters with superlattices of defects |
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| 引用本文： | 何敬,寇谡鹏.Topological hierarchy matters — topological matters with superlattices of defects[J].中国物理 B,2016,25(11):117310-117310. |
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| 作者姓名： | 何敬 寇谡鹏 |
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| 作者单位： | 1.Department of Physics, Hebei Normal University, Shijiazhuang 050024, China;2.Department of Physics, Beijing Normal University, Beijing 100875, China |
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| 基金项目： | Project supported by the National Basic Research Program of China (Grant Nos. 2011CB921803 and 2012CB921704), the National Natural Science Foundation of China (Grant Nos. 11174035, 11474025, 11404090, and 11674026), the Natural Science Foundation of Hebei Province, China (Grant No. A2015205189), the Hebei Education Department Natural Science Foundation, China (Grant No. QN2014022), and the Specialized Research Fund for the Doctoral Program of Higher Education, China. |
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| 摘 要： | Topological insulators/superconductors are new states of quantum matter with metallic edge/surface states.In this paper,we review the defects effect in these topological states and study new types of topological matters — topological hierarchy matters.We find that both topological defects(quantized vortices) and non topological defects(vacancies) can induce topological mid-gap states in the topological hierarchy matters after considering the superlattice of defects.These topological mid-gap states have nontrivial topological properties,including the nonzero Chern number and the gapless edge states.Effective tight-binding models are obtained to describe the topological mid-gap states in the topological hierarchy matters.
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| 收稿时间： | 2016-02-22 |
Topological hierarchy matters–topological matters with superlattices of defects |
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| Institution: | 1.Department of Physics, Hebei Normal University, Shijiazhuang 050024, China;2.Department of Physics, Beijing Normal University, Beijing 100875, China |
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| Abstract: | Topological insulators/superconductors are new states of quantum matter with metallic edge/surface states. In this paper, we review the defects effect in these topological states and study new types of topological matters–topological hierarchy matters. We find that both topological defects (quantized vortices) and non topological defects (vacancies) can induce topological mid-gap states in the topological hierarchy matters after considering the superlattice of defects. These topological mid-gap states have nontrivial topological properties, including the nonzero Chern number and the gapless edge states. Effective tight-binding models are obtained to describe the topological mid-gap states in the topological hierarchy matters. |
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| Keywords: | defects topological mid-gap state topological insulator topological superconductor |
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