拓扑电路——新奇拓扑物理现象的研究平台
Topological circuit: a playground for exotic topological physics
摘要
Abstract
Exploring topological phases of matter and their exotic physics appeared as a rapidly growing field of study in solid-state electron systems in the past decade. In recent years, there has been a trend on the emu-lation of topological insulators/semimetals in many other systems, including ultracold quantum gases, trapped ions, photonic, acoustic, mechanical, and electrical circuit systems. Among these platforms, topological cir-cuits made of simple capacitive and inductive circuit elements emerged as a very competitive platform be-cause of its highly controllable degrees of freedom, lowercost, easy implementation, and great flexibility for integration. Owing to the unique advantages of electrical circuits such as arbitrary engineering of long-range hopping, convenient realization of nonlinear, nonreciprocal, and gain effects, highly flexible measurement, many of the nonlinear, non-abelian, and non-Hermitian physics can be potentially realized and investigated using the electrical circuit platform. In this review, we provide the first short overview of the main achieve-ments of topological circuits developed in the past six years, primarily focusing on their theoretical modeling, circuit construction, experimental characterization, and their distinction from their counterparts in quantum electronics and photonics. The scope of this review covers a wide variety of topological circuits, including Hermitian topological circuits hosting nontrivial edge state, higher-order corner state, Weyl particles; higher dimensional topological circuits exhibiting nodal link and nodal knot states; non-Hermitian topological cir-cuits showing skin effects, gain and loss induced nontrivial edge state; self-induced topological edge state in nonlinear topological circuit; topological circuit having non-Abelian gauge potential.关键词
拓扑绝缘体/拓扑半金属/电路/边界态/体-边对应关系Key words
topological insulator/topological semimetal/electrical circuit/edge stage/bulk-edge correspond-ence引用本文复制引用
刘硕,张霜,崔铁军..拓扑电路——新奇拓扑物理现象的研究平台[J].中国光学,2021,14(4):736-753,18.基金项目
欧盟地平线计划2020玛丽居里学者项目(No.833797) （No.833797）
英国皇家学会Wolfson基金(No.734578,D-SPA （）
648783,Topological) （）
国家重点研发计划(No.2017YFA0700201,No.2017YFA0700202,No.2017YFA0700203) （No.2017YFA0700201,No.2017YFA0700202,No.2017YFA0700203）
国家自然科学基金(No.61631007,No.61571117,No.61875133,No.11874269) （No.61631007,No.61571117,No.61875133,No.11874269）
高等学校学科创新引智计划(No.111-2-05)Supported by European Union′s Horizon 2020 Research and Innovation Programme under the Marie Sk-lodowska-Curie(No.833797) （No.111-2-05）
Royal Society,the Wolfson Foundation,Horizon 2020 Action Project(No.734578,D-SPA （）
648783,Topological) （）
National key Research and Development Program of China(No.2017YFA0700201,No.2017YFA0700202,No.2017YFA0700203) （No.2017YFA0700201,No.2017YFA0700202,No.2017YFA0700203）
National Natural Science Foundation of China(No.61631007,No.61571117,No.61875133,No.11874269) （No.61631007,No.61571117,No.61875133,No.11874269）
Part by the 111 Project(No.111-2-05) （No.111-2-05）
