Author Affiliations
1School of Computer Science and Telecommunication Engineering, Jiangsu University, Zhenjiang , Jiangsu 212013, China2Key Laboratory of Intelligent Computing & Signal Processing, Ministry of Education, Anhui University, Hefei , Anhui 230039, Chinashow less
Fig. 1. Structure of the lattice. (a) Triangular compound lattice; (b) first Brillouin zone of the lattice and three high symmetry points
Fig. 2. Energy band and orbit of the initial structure. (a) r = 0.06a, D = 0.12a; (b) r = 0.06a, D = 0.44a
Fig. 3. Change curves of the energy band frequency with zooming distance D at different r. (a) r = 0.06a; (b) r = 0.057a; (c) r = 0.02a
Fig. 4. Curves of the frequency of the 3rd and 4th energy levels of the three high symmetry points with the dielectric cylinder radius. (a) Trivial state; (b) non-trivial state
Fig. 5. Width of the common band gap versus the radiuses of two structures
Fig. 6. Energy band after optimized structure parameters. (a) Trivial state; (b) non-trivial state
Fig. 7. Boundary state after optimization. (a) Supercell energy band diagram; (b) mode field at points A, B, C, and D in the boundary state mode and energy flux density vector at the boundary
Fig. 8. Transmission of the spin-locked boundary states. (a) Clockwise spin; (b) anticlockwise spin
Fig. 9. Bending transmission of the spin-locked boundary states. (a) Clockwise spin; (b) anticlockwise spin
r2/a | r1/a |
---|
0.069 | 0.070 | 0.071 | 0.072 |
---|
0.0800 | 23.05 | 22.42 | 21.78 | 21.23 | 0.0810 | 24.57 | 23.18 | 24.03 | 21.97 | 0.0820 | 24.57 | 24.75 | 23.31 | 22.76 | 0.0829 | 24.59 | 24.68 | 24.06 | 23.48 |
|
Table 1. Relative band gap width corresponding to the optimized radius of the two structures
Reference | Bandwidth |
---|
Ours | 0.0435 | Ref. [20] | 0.02 | Ref. [21] | 0.011 | Ref. [22] | 0.015 | Ref. [23] | 0.03 |
|
Table 2. Bandwidth of different topological boundary states
Reference | Locality |
---|
Ours | 2a | Ref. [24] | 6.7a | Ref. [25] | 4a | Ref. [26] | 7a | Ref. [27] | 12.1a |
|
Table 3. Locality of different topological boundary states