关键词: 人工带隙材料/
拓扑/
Dirac方程
English Abstract
Topological properties of artificial bandgap materials
Sun Xiao-Chen1,He Cheng1,2,
Lu Ming-Hui1,2,
Chen Yan-Feng1,2
1.National Laboratory of Solid State Microstructures, Department of Materials Science and Engineering, Nanjing University, Nanjing 210093, China;
2.Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China
Fund Project:Project supported by the National Key RD Program of China (Grant No. 2017YFA0303702), the National Natural Science Foundation of China (Grant Nos. 11134006, 11474158, 11404164, 11625418), the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20140019), and the support from Academic Program Development of Jiangsu Higher Education (Grant No. PAPD).Received Date:20 September 2017
Accepted Date:06 November 2017
Published Online:05 November 2017
Abstract:Recently, artificial bandgap materials (such as photonic crystals and phononic crystals) have been becoming the research hotspot of the next generation intelligent materials, because of its extremely designable, tunable and controllable capacity of classical waves. On the other hand, topological material phase, originally proposed and first demonstrated in Fermionic electronic systems, has been proposed in more and more Bosonic systems. In this review paper, we first focus on some of the representative photonic/phononic topological models, and four common types of topological photonic system are discussed:1) photonic/phononic quantum Hall effect with broken time-reversal symmetry; 2) photonic topological insulator and the associated pseudo-time-reversal symmetry protected mechanism; 3) time/space periodically modulated photonic Floquet topological insulator; 4) a summary and outlook including a brief introduction of Zak phase in one-dimensional systems and Weyl point in three-dimensional systems. Finally, the underlying Dirac model is analyzed.
Keywords: artificial bandgap material/
topology/
Dirac equation
