Acta Optica Sinica, Volume. 42, Issue 21, 2126011(2022)
Influence of On-Site Potential Energy on Bands of Haldane Model and Implementation of Its Topoelectrical Circuit
Fig. 1. Schematic of Haldane model, where
Fig. 2. Setup of the circuit with on-site energy. The two black inductors on the far left represent all the grid points of the circuit, and the four nodes are identified as X± and Y±, respectively, and the pictures on the right are the connection modes between different grid points A and B, respectively
Fig. 3. Global on-site energy tuning. (a) Schematic of the finite lattice with zigzag edges; (b) equivalent band diagram of a periodic ribbon lattice with zigzag edges and parameters L=3.3 mH, C1 =330 pF, and C2 =33 pF; band diagrams when (c) t3=1 and (d) t3=2
Fig. 4. Band diagrams of Haldane model with different on-site energies on all sites A and B. (a) Calculated periodic ribbon structural diagram of Haldane model; (b)-(g) calculated band structures with different on-site energies applied on sites A and B with UA=-UB=U; (h) circuit band diagram when CA=-CB=-99 pF; (i) inductance voltage measured on the upper and lower edges on a simulated PCB with circuit design
Fig. 5. Band diagrams of Haldane model with different on-site energies applied only on boundary sites. (a) Schematics of proposed model; (b)-(g) calculated band diagrams with different edge onsite energies; equivalent circuit band diagrams with grounding capacitors (h) Cg=-115 pF and (i) Cg=115 pF on edge sites
Fig. 6. Band diagrams of Haldane model with different bulk and edge on-site energies. (a) Schematics of proposed model;(b)-(e) evolution of edge state dispersion curves using different Ut
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Dejun Zhu, Zhihong Hang. Influence of On-Site Potential Energy on Bands of Haldane Model and Implementation of Its Topoelectrical Circuit[J]. Acta Optica Sinica, 2022, 42(21): 2126011
Category: Physical Optics
Received: May. 13, 2022
Accepted: Jul. 13, 2022
Published Online: Nov. 4, 2022
The Author Email: Hang Zhihong (zhhang@suda.edu.cn)