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

Dejun Zhu1,2 and Zhihong Hang1,2,3,4、*
Author Affiliations
  • 1School of Physical Science and Technology, Soochow University, Suzhou 215006, Jiangsu , China
  • 2Collaborative Innovation Center of Suzhou Nano Science and Technology, Suzhou 215006, Jiangsu , China
  • 3Institute for Advanced Study of Soochow University, Suzhou 215006, Jiangsu , China
  • 4Jiangsu Provincial Key Lab of Thin Films, Suzhou 215006, Jiangsu , China
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    Figures & Tables(6)
    Schematic of Haldane model, where ei and Vi (i=1,2,3) represent basis vectors of nearest and second nearest neighbors to neighboring protocells, and the right diagram shows the interaction of primitive cell in Haldane's honeycomb lattice
    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
    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
    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
    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
    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

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    Paper Information

    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)

    DOI:10.3788/AOS202242.2126011

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