The topological edge modes and Tamm modes in Su-Schrieffer-Heeger LC-resonator circuits
The topological edge modes and Tamm modes in Su-Schrieffer-Heeger LC-resonator circuits
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Su-Schrieffer-Heeger LC 谐振器电路中的拓扑边缘模式和 Tamm 模式
DOI：
10.1088/1361-6463/ac18ef
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Guang-Yu Guo
中科院分区：
文献类型：
--
作者：
Hai-Xiao Wang;Chengpeng Liang;Yin Poo;Pi-Gang Luan;Guang-Yu Guo
我们研究了有限LC谐振电路的边缘模式，该电路由交替排列的电感组成，由相同的电容分隔，每个电容接地。该电路具有Su-Schrieffer-Heeger（SSH）模型的配置，并且可以建立这两个模型之间的一一对应。有趣的是，当相应的SSH模型是在拓扑非平凡的制度，只有一个拓扑边缘模式出现在有限LC谐振器电路，而另一个是缺席。通过对电路哈密顿量的分析，发现只有减小边界电容才能出现缺失的拓扑边模，但重现的拓扑边模与标准拓扑边模不同。当边界电容小于某一临界值时，也会出现与局部谐振有关的Tamm模。当有限电路系统处于平凡区时，由于体-边对应的限制，边界电容的替换只能导致Tamm模。本文研究边界组态对拓扑边模的影响，将加深我们对拓扑电路的理解。
We study the edge modes of a finite LC-resonator circuit that consists of alternatingly arranged inductors, separated by identical capacitors, each of which is grounded. The circuit has the configuration of the Su–Schrieffer–Heeger (SSH) model, and one-to-one correspondence between these two models can be established. Interestingly, when the corresponding SSH model is in the topological nontrivial regime, only one topological edge mode appears in the finite LC-resonator circuit, and the other is absent. Through the analysis of the circuit Hamiltonian, we find that only by reducing the boundary capacitance can the missing topological edge mode occur, but the reappeared topological mode is different from the standard one. When the boundary capacitance is lower than a critical value, a Tamm mode related to the local resonance also appears. When the finite circuit system is in the trivial regime, the replacement of the boundary capacitor could result in only the Tamm mode due to the restriction of the bulk-edge correspondence. The present study of the influence of the boundary configuration on the topological edge modes will deepen our understanding of topolectrical circuits.