Finite-admittance topological bounded corner states in the kagome topolectrical circuits

Zhang, Ruo-Long; Wu, Qing‐Ping; Liu, Meirong; Yu-zeng, LI; Chang, Lulu; Li, Wanying; Liu, Feifei; Xiao, Xunwen; Liu, Zhengfang

doi:10.1016/j.physe.2021.114876

Cited by 2 publications

(1 citation statement)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As an extension of TIs, high-order topological insulators (HOTIs) have attracted extensive attention of many researchers since they were revealed [1][2][3][4][5], which host topologically protected corner states and have strong stability and robustness [6]. More recently, many models have been intensively explored in photonics [7][8][9][10][11][12][13], acoustics [14][15][16][17][18][19][20], and electric circuits [21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Zero-admittance states in honeycomb topological circuits

Huang,

Guo,

Qiu

et al. 2023

Phys. Scr.

View full text Add to dashboard Cite

Topological circuits play an important role in exploring high-order topological insulators. In this work, we demonstrate that defects in the bulk without changing the parameters can increase zero-admittance states. Furthermore, the coupling parameters affect the distribution of the zero-admittance states are demonstrated. The impedance is measured to verify the existence of these states. The experimental results agree well with the theoretical results, both showing the strong resonance peak, as well as the impedance distribution of different parameters is mainly concentrated at the 2π/3 corner, 2π/6 corner, or edge. Our work paves the way for the research and experimentation of honeycomb topological circuits.

show abstract

Section: Introductionmentioning

confidence: 99%

Zero-admittance states in honeycomb topological circuits

Huang,

Guo,

Qiu

et al. 2023

Phys. Scr.

View full text Add to dashboard Cite

show abstract

Complex–Real Transformation of Eigenenergies and Topological Edge States in Square‐Root Non‐Hermitian Topolectrical Circuits

Zhang

Liu

et al. 2022

Annalen der Physik

Self Cite

View full text Add to dashboard Cite

The physical properties of the unconventional complex-real transformation of eigenenergies which is manifested by the multiple degenerate plat bulk bands in the energy spectrum and the topological properties characterized by robust edge states are investigated in the square-root non-Hermitian topolectrical circuits. Such a flat bulk band captures all the imaginary eigenenergies of the system, which also determines its destiny as an indicator of complex-real transformation. In addition, its degeneracy is twice the number of unit cells and its possible generation mechanism has also been explored. The existence of robust topological edge states with non-zero real energy is hinted by a strong impedance resonance peak displayed on the boundary in a modified disordered circuit system. The non-Bloch theorem is introduced to renovate the broken bulk-boundary correspondence confirmed by theoretical analysis and numerical calculations. Finally, the entire phase diagram of the system is presented to perfectly show all the intriguing physics. This work further enriches the study of physical characteristics and other exotic topological phenomena on an accessible electronic circuit platform.

show abstract

Finite-admittance topological bounded corner states in the kagome topolectrical circuits

Cited by 2 publications

References 29 publications

Zero-admittance states in honeycomb topological circuits

Zero-admittance states in honeycomb topological circuits

Complex–Real Transformation of Eigenenergies and Topological Edge States in Square‐Root Non‐Hermitian Topolectrical Circuits

Contact Info

Product

Resources

About