System size dependent topological zero modes in coupled topolectrical chains

@article{RafiUlIslam2022SystemSD,
  title={System size dependent topological zero modes in coupled topolectrical chains},
  author={S. M. Rafi-Ul-Islam and Zhuo Bin Siu and Haydar Sahin and Ching Hua Lee and Mansoor B. A. Jalil},
  journal={Physical Review B},
  year={2022}
}
In this paper, we demonstrate the emergence and disappearance of topological zero modes (TZMs) in a coupled topolectrical (TE) circuit lattice. Specifically, we consider non-Hermitian TE chains in which TZMs do not occur in the individual uncoupled chains, but emerge when these chains are coupled by inter-chain capacitors. The coupled system hosts TZMs which show size-dependent behaviours and vanish beyond a certain critical size. In addition, the emergence or disappearance of the TZMs in the… 
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References

SHOWING 1-10 OF 33 REFERENCES

Non-Hermitian topological phases and exceptional lines in topolectrical circuits

We propose a scheme to realize various non-Hermitian topological phases in a topolectrical (TE) circuit network consisting of resistors, inductors, and capacitors. These phases are characterized by…

Generalized bulk–boundary correspondence in non-Hermitian topolectrical circuits

The study of the laws of nature has traditionally been pursued in the limit of isolated systems, where energy is conserved. This is not always a valid approximation, however, as the inclusion of…

Realization of Weyl semimetal phases in topoelectrical circuits

In this work, we demonstrate a simple and effective method to design and realize various Weyl semimetal (WSM) states in a three-dimensional periodic circuit lattice composed of passive electric…

Topolectrical-circuit realization of topological corner modes

Quantized electric quadrupole insulators have recently been proposed as novel quantum states of matter in two spatial dimensions. Gapped otherwise, they can feature zero-dimensional topological…

Lasing in topological edge states of a one-dimensional lattice

Topology describes properties that remain unaffected by smooth distortions. Its main hallmark is the emergence of edge states localized at the boundary between regions characterized by distinct…

Anti-Klein tunneling in topoelectrical Weyl semimetal circuits

Topoelectrical (TE) circuits consisting of capacitors and inductors can be designed to exhibit various Weyl semimetal (WSM) phases in their admittance dispersion. We consider a TE heterojunction…

Active topolectrical circuits

It is shown both theoretically and experimentally that robust topological edge modes can be spontaneously self-excited in active systems made from internally powered subunits, and implies that nonlinear ATCs provide a robust and versatile platform for developing high-dimensional autonomous electrical circuits with topologically protected functionalities.

Robust zero-energy modes in an electronic higher-order topological insulator

A higher-order topological insulator is realized in a breathing kagome lattice built by patterning CO molecules on a Cu(111) surface and protected by a generalized chiral symmetry, which leads to a particular robustness against perturbations.

Observation of non-Hermitian topology and its bulk–edge correspondence in an active mechanical metamaterial

It is demonstrated that topological properties of a mechanical system can predict the localization of waves in realistic settings where the energy can grow and/or decay, and open avenues for the field of non-Hermitian topology and for manipulating waves in unprecedented fashions.

Non-Hermitian pseudo-gaps.