English

Non-abelian gauge fields in circuit systems

Mesoscale and Nanoscale Physics 2022-09-26 v2 Materials Science

Abstract

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.

Keywords

Cite

@article{arxiv.2009.04870,
  title  = {Non-abelian gauge fields in circuit systems},
  author = {Jiexiong Wu and Zhu Wang and Yuanchuan Biao and Fucong Fei and Shuai Zhang and Zepeng Yin and Yejian Hu and Ziyin Song and Tianyu Wu and Fengqi Song and Rui Yu},
  journal= {arXiv preprint arXiv:2009.04870},
  year   = {2022}
}
R2 v1 2026-06-23T18:26:42.721Z