A high-order topological insulator circuit design method based on graphdiyne structure

Abstract

The application belongs to the technical field of electronic circuits, and particularly relates to a high-order topological insulator circuit design method based on graphdiyne structure. The method comprises the following steps: (1) establishing an LC circuit model of a two-dimensional rhombus-shaped graphdiyne structure; (2) obtaining the admittance matrix of the circuit according to the Kirchhoff equation, solving the matrix eigenvalues and eigenvectors by using MATLAB, and obtaining the admittance band structure; (3) changing the size of the capacitance proportion parameter, so that the topological phase transition of the circuit system can be realized; (4) in the topological non-trivial phase parameter region, the impedance distribution under different frequencies is calculated, and it can be observed that the system has zero energy angle state, i.e. second-order topological state; (5) the impedance distribution under a specific frequency is measured, and it is observed in the experiment that the topological angle state is localized in the obtuse angle or acute angle region of the rhombus-shaped circuit board, and the system has high-order topological properties.

Images