Volume 14 Issue 4
Jul.  2021
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Chinese Optics  > 2021  >  14(4): 736-753.
LIU Shuo, ZHANG Shuang, CUI Tie-jun. Topological circuit: a playground for exotic topological physics[J]. Chinese Optics, 2021, 14(4): 736-753. doi: 10.37188/CO.2021-0095
Citation: LIU Shuo, ZHANG Shuang, CUI Tie-jun. Topological circuit: a playground for exotic topological physics[J]. Chinese Optics, 2021, 14(4): 736-753. doi: 10.37188/CO.2021-0095
shu

Topological circuit: a playground for exotic topological physics

  • 1.

    School of Physics and Astronomy, University of Birmingham, Birmingham B15 2TT, United Kingdom

  • 2.

    State Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, China

  • 3.

    Department of Physics, The University of Hong Kong, Pokfulam road 999077, Hong Kong, China

Funds:  Supported by European Union′s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie (No. 833797); 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); National Natural Science Foundation of China (No. 61631007, No. 61571117, No. 61875133, No. 11874269); Part by the 111 Project (No. 111-2-05)
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  • Author Bio:

    刘　硕（1988—），男，河北赞皇人，博士，伯明翰大学天文与物理学院玛丽居里学者，2017年于东南大学获得博士学位，主要从事信息超材料、电路拓扑绝缘体的理论与实验方面的研究工作。E-mail：liushuo.china@seu.edu.cn

    张　霜（1975—），男，辽宁大连人，香港大学物理系和电子工程系讲座教授，2005年于美国新墨西哥大学电子工程系获得博士学位，2016年当选美国光学学会会士。在超构材料领域作出了很多重要成果。首次在光学波段实现了负折射率材料、首次通过贝里相位实现了谐波产生的非线性系数的连续控制、首次提出了有效介质（超构材料）的光学拓扑现象、首次实现了理想外尔点并实验上观测到光学系统的朗道手性零级模式、提出了等离激元结构的电磁诱导透明、首次实现了可见光波段宏观尺度的隐身斗篷等。2010年获国际物理联合会的青年科学家光学奖，2016年获英国皇家学会的Wolfson 科研奖。2018−2020连续三年入选科睿唯安全球“高被引科学家”名录。共发表论文200余篇，论文总被引用次数26000余次（谷歌学术）。E-mail：shuzhang@hku.hk

    崔铁军（1965—），男，河北承德人，计算电磁学和电磁超材料专家，中国科学院院士，东南大学首席教授，IEEE Fellow。长期从事电磁超材料和计算电磁学研究，创造性地提出从信息科学角度研究超材料的思想，提出数字编码和可编程超材料及其控制电磁波的新方法，创建了信息超材料新体系；提出了电磁波与复杂目标及环境相互作用的一系列高效算法，开发了具有自主知识产权的系列专用电磁仿真软件；在中国航天、航空、电子和船舶等工业部门进行了大量应用，取得了显著的经济效益与社会效益。发表学术论文500余篇，被引用37000余次（H因子95）。研究成果入选2010年中国科学十大进展、2016年中国光学重要成果；获2011年教育部自然科学一等奖、2014年国家自然科学二等奖、2016年军队科学技术进步一等奖、2018年国家自然科学二等奖。E-mail：tjcui@seu.edu.cn

  • Corresponding author: zhangs75@gmail.com; Tjcui@seu.edu.cn
  • Received Date: 29 Apr 2021
  • Rev Recd Date: 08 Jun 2021
    • Available Online: 22 Jun 2021
  • Publish Date: 01 Jul 2021
    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 emulation 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 circuits made of simple capacitive and inductive circuit elements emerged as a very competitive platform because 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 achievements 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 circuits 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.

     

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