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Special Issue:
TOPICAL REVIEW — Topological electronic states
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| TOPICAL REVIEW—Topological electronic states |
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Topological hierarchy matters–topological matters with superlattices of defects |
| Jing He(何敬)1, Su-Peng Kou(寇谡鹏)2 |
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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Received: 22 February 2016
Revised: 07 April 2016
Accepted manuscript online:
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PACS:
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73.21.Cd
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(Superlattices)
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73.43.Cd
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(Theory and modeling)
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71.10.Fd
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(Lattice fermion models (Hubbard model, etc.))
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| Fund: 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. |
Corresponding Authors:
Su-Peng Kou
E-mail: spkou@bnu.edu.cn
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Cite this article:
Jing He(何敬), Su-Peng Kou(寇谡鹏) Topological hierarchy matters–topological matters with superlattices of defects 2016 Chin. Phys. B 25 117310
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