Chin. Phys. Lett.  2017, Vol. 34 Issue (5): 057302    DOI: 10.1088/0256-307X/34/5/057302
Two-Dimensional Node-Line Semimetals in a Honeycomb-Kagome Lattice
Jin-Lian Lu1†, Wei Luo2,3†, Xue-Yang Li2, Sheng-Qi Yang2, Jue-Xian Cao1, Xin-Gao Gong2,3, Hong-Jun Xiang2,3**
1Department of Physics, Xiangtan University, Xiangtan 411105
2Key Laboratory of Computational Physical Sciences (Ministry of Education), State Key Laboratory of Surface Physics, and Department of Physics, Fudan University, Shanghai 200433
3Collaborative Innovation Center of Advanced Microstructures, Nanjing 210093
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Jin-Lian Lu, Wei Luo, Xue-Yang Li et al  2017 Chin. Phys. Lett. 34 057302
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Abstract Recently, the concept of topological insulators has been generalized to topological semimetals, including three-dimensional (3D) Weyl semimetals, 3D Dirac semimetals, and 3D node-line semimetals (NLSs). In particular, several compounds (e.g., certain 3D graphene networks, Cu$_{3}$PdN, Ca$_{3}$P$_{2}$) were discovered to be 3D NLSs, in which the conduction and valence bands cross at closed lines in the Brillouin zone. Except for the two-dimensional (2D) Dirac semimetal (e.g., graphene), 2D topological semimetals are much less investigated. Here we propose a new concept of a 2D NLS and suggest that this state could be realized in a new mixed lattice (named as HK lattice) composed by Kagome and honeycomb lattices. It is found that A$_{3}$B$_{2}$ (A is a group-IIB cation and B is a group-VA anion) compounds (such as Hg$_{3}$As$_{2})$ with the HK lattice are 2D NLSs due to the band inversion between the cation Hg-$s$ orbital and the anion As-$p_{z}$ orbital with respect to the mirror symmetry. Since the band inversion occurs between two bands with the same parity, this peculiar 2D NLS could be used as transparent conductors. In the presence of buckling or spin-orbit coupling, the 2D NLS state may turn into a 2D Dirac semimetal state or a 2D topological crystalline insulating state. Since the band gap opening due to buckling or spin-orbit coupling is small, Hg$_{3}$As$_{2}$ with the HK lattice can still be regarded as a 2D NLS at room temperature. Our work suggests a new route to design topological materials without involving states with opposite parities.
Received: 24 March 2017      Published: 29 April 2017
PACS:  73.20.At (Surface states, band structure, electron density of states)  
  71.55.Ak (Metals, semimetals, and alloys)  
  71.20.-b (Electron density of states and band structure of crystalline solids)  
Fund: Supported by the National Natural Science Foundation of China under Grant No 11374056, the Special Funds for Major State Basic Research under Grant No 2015CB921700, the Program for Professor of Special Appointment (Eastern Scholar), the Qing Nian Ba Jian Program, and the Fok Ying Tung Education Foundation.
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Jin-Lian Lu
Wei Luo
Xue-Yang Li
Sheng-Qi Yang
Jue-Xian Cao
Xin-Gao Gong
Hong-Jun Xiang
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