摘要
Topological circuits,an exciting feld just emerged over the last two years,have become a very accessible platform for realizing and exploring topological physics,with many of their physical phenomena and potential applications as yet to be discovered.In this work,we design and experimentally demonstrate a topologically nontrivial band structure and the associated topologically protected edge states in an RF circuit,which is composed of a collection of grounded capacitors connected by alternating inductors in the x and y directions,in analogy to the Su–Schriefer–Heeger model.We take full control of the topological invariant(i.e.,Zak phase)as well as the gap width of the band structure by simply tuning the circuit parameters.Excellent agreement is found between the experimental and simulation results,both showing obvious nontrivial edge state that is tightly bound to the circuit boundaries with extreme robustness against various types of defects.Te demonstration of topological properties in circuits provides a convenient and fexible platform for studying topological materials and the possibility for developing fexible circuits with highly robust circuit performance.
基金
This work was supported by the European Research Council Consolidator Grant(TOPOLOGICAL)
the Royal Society,the Wolfson Foundation,Horizon 2020 Action Project no.734578(D-SPA)
the National Key Research and Development Program of China(Grant no.2017YFA0700201)
in part by the National Natural Science Foundation of China(Grants nos.61631007,61571117,61875133,and 11874269)
the 111 Project(Grant no.111-2-05)
in part by the China Postdoctoral Science Foundation(Grant no.2018M633129).