Non-abelian gauge fields in circuit systems

被引:58
作者
Wu, Jiexiong [1 ,2 ]
Wang, Zhu [1 ,2 ]
Biao, Yuanchuan [1 ,2 ]
Fei, Fucong [3 ,4 ]
Zhang, Shuai [3 ,4 ]
Yin, Zepeng [2 ]
Hu, Yejian [2 ]
Song, Ziyin [2 ]
Wu, Tianyu [2 ]
Song, Fengqi [3 ,4 ]
Yu, Rui [1 ,2 ]
机构
[1] Wuhan Inst Quantum Technol, Wuhan, Peoples R China
[2] Wuhan Univ, Sch Phys & Technol, Wuhan, Peoples R China
[3] Nanjing Univ, Collaborat Innovat Ctr Adv Microstruct, Natl Lab Solid State Microstruct, Nanjing, Peoples R China
[4] Nanjing Univ, Sch Phys, Nanjing, Peoples R China
基金
中国国家自然科学基金;
关键词
SPIN; REALIZATION;
D O I
10.1038/s41928-022-00833-8
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Circuits can provide a platform to study novel physics and have been used, for example, to explore various topological phases. Gauge fields-particularly, non-Abelian gauge fields-can play a pivotal role in the design and modulation of novel physical states, but their circuit implementation has so far been limited. Here we show that non-Abelian gauge fields can be synthesized in circuits created from building blocks that consist of capacitors, inductors and resistors. With these building blocks, we create circuit designs for the spin-orbit interaction and the topological Chern state, which are phenomena that represent non-Abelian gauge fields in momentum space. We also use the approach to design non-reciprocal circuits that can be used to implement the non-Abelian Aharonov-Bohm effect in real space. Building blocks that consist of capacitors, inductors and resistors can be used to create circuit designs that can implement the spin-orbit interaction, topological Chern state and non-Abelian Aharonov-Bohm effect.
引用
收藏
页码:635 / 642
页数:8
相关论文
共 39 条
[1]   Topological Properties of Linear Circuit Lattices [J].
Albert, Victor V. ;
Glazman, Leonid I. ;
Jiang, Liang .
PHYSICAL REVIEW LETTERS, 2015, 114 (17)
[2]   Topoelectrical circuit octupole insulator with topologically protected corner states [J].
Bao, Jiacheng ;
Zou, Deyuan ;
Zhang, Weixuan ;
He, Wenjing ;
Sun, Houjun ;
Zhang, Xiangdong .
PHYSICAL REVIEW B, 2019, 100 (20)
[3]  
BYCHKOV YA, 1984, JETP LETT+, V39, P78
[4]   Exceptionally active iridium evolved from a pseudo-cubic perovskite for oxygen evolution in acid [J].
Chen, Yubo ;
Li, Haiyan ;
Wang, Jingxian ;
Du, Yonghua ;
Xi, Shibo ;
Sun, Yuanmiao ;
Sherburne, Matthew ;
Ager, Joel W., III ;
Fisher, Adrian C. ;
Xu, Zhichuan J. .
NATURE COMMUNICATIONS, 2019, 10 (1)
[5]  
Cooper NR, 2019, REV MOD PHYS, V91, DOI [10.1103/revmodphys.91.015005, 10.1103/RevModPhys.91.015005]
[6]   SPIN-ORBIT COUPLING EFFECTS IN ZINC BLENDE STRUCTURES [J].
DRESSELHAUS, G .
PHYSICAL REVIEW, 1955, 100 (02) :580-586
[7]   Higher-order topological electric circuits and topological corner resonance on the breathing kagome and pyrochlore lattices [J].
Ezawa, Motohiko .
PHYSICAL REVIEW B, 2018, 98 (20)
[8]   Dualities and non-Abelian mechanics [J].
Fruchart, Michel ;
Zhou, Yujie ;
Vitelli, Vincenzo .
NATURE, 2020, 577 (7792) :636-+
[9]   Chern insulators for electromagnetic waves in electrical circuit networks [J].
Haenel, Rafael ;
Branch, Timothy ;
Franz, Marcel .
PHYSICAL REVIEW B, 2019, 99 (23)
[10]   Chiral Voltage Propagation and Calibration in a Topolectrical Chern Circuit [J].
Hofmann, Tobias ;
Helbig, Tobias ;
Lee, Ching Hua ;
Greiter, Martin ;
Thomale, Ronny .
PHYSICAL REVIEW LETTERS, 2019, 122 (24)