吉首大学学报(自然科学版)2025,Vol.46Issue(4):68-72,5.DOI:10.13438/j.cnki.jdzk.2025.04.010
一维非厄米电路系统的趋肤效应
Skin Effect of One-Dimensional Non-Hermitian Circuit Systems
周冬梅 1孔鹏 1王小云 1邓科1
作者信息
- 1. 吉首大学物理与机电工程学院,湖南吉首 416000
- 折叠
摘要
Abstract
A one-dimensional non-Hermitian Hatono-Nelson single-chain circuit model was de-signed.By varying the inter-chain coupling strength,the non-Hermitian skin effect in three different parameter conditions was explored.On this basis,circuit simulation experiments were carried out.The results show that when the interchain coupling is reciprocal(Hermitian limit),the system's PBC energy spectrum coincides with the OBC energy spectrum,the generalized Brillouin zone(GBZ)is identical with the Brillouin zone(BZ),and the eigenstates extend throughout the bulk,forming extended states.When the interchain coupling is non-reciprocal with a rightward coupling strength greater than the leftward coupling strength,the PBC and OBC energy spectra differ significantly,the GBZ lies inside the BZ,and the eigenstates localize to the left,forming left skin modes.Conversely,when the rightward coupling strength is smaller than the leftward coupling strength,the PBC and OBC energy spectra also differ sub-stantially,the GBZ encloses the BZ,and the eigenstates localize to the right,forming right skin modes.The skin effect in all three cases can be successfully observed in the circuit simulations,and the experi-mental results agree well with theoretical calculations.关键词
体-边对应/非厄米/非布洛赫理论/趋肤效应Key words
bulk-boundary correspondence/non-Hermitian/non-Bloch theory/skin effect分类
数理科学引用本文复制引用
周冬梅,孔鹏,王小云,邓科..一维非厄米电路系统的趋肤效应[J].吉首大学学报(自然科学版),2025,46(4):68-72,5.