• Corpus ID: 198953466

Observation of bulk boundary correspondence breakdown in topolectrical circuits

@inproceedings{Helbig2019ObservationOB,
  title={Observation of bulk boundary correspondence breakdown in topolectrical circuits},
  author={Tobias Helbig and Tobias Hofmann and Stefan Imhof and Mohamed Abdelghany and Tobias Kie{\ss}ling and Laurens W. Molenkamp and Ching Hua Lee and Alexander Szameit and Martin Greiter and Ronny Thomale},
  year={2019}
}
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 features like gain and loss, or periodic driving, qualitatively amends these laws. A contemporary frontier of meta-material research is the challenge open systems pose to the established characterization of topological matter1, 2. There, one of the most relied upon principles is the bulk-boundary… 

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References

SHOWING 1-10 OF 16 REFERENCES

Topological quantum chemistry

A complete electronic band theory is proposed, which builds on the conventional band theory of electrons, highlighting the link between the topology and local chemical bonding and can be used to predict many more topological insulators.

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

Why does bulk boundary correspondence fail in some non-hermitian topological models

The bulk-boundary correspondence is crucial to topological insulators. It associates the existence of boundary states (with zero energy and possessing chiral or helical properties) with the

Topological Phases of Non-Hermitian Systems

Recent experimental advances in controlling dissipation have brought about unprecedented flexibility in engineering non-Hermitian Hamiltonians in open classical and quantum systems. A particular

Edge States and Topological Invariants of Non-Hermitian Systems.

This work obtains the phase diagram of the non-Hermitian Su-Schrieffer-Heeger model, whose topological zero modes are determined by theNon-Bloch winding number instead of the Bloch-Hamiltonian-based topological number.

Anomalous Edge State in a Non-Hermitian Lattice.

We show that the bulk-boundary correspondence for topological insulators can be modified in the presence of non-Hermiticity. We consider a one-dimensional tight-binding model with gain and loss as

Chiral Voltage Propagation and Calibration in a Topolectrical Chern Circuit.

The proposed topolectrical Chern circuit features an admittance bulk gap fully tunable via the resistors used in the INICs, along with a chiral voltage boundary mode reminiscent of the Berry flux monopole present in the admittance band structure.

Exceptional points in optics and photonics

The topic of exceptional points in photonics is reviewed and some of the possible exotic behavior that might be expected from engineering such systems are explored, as well as new angle of utilizing gain and loss as new degrees of freedom, in stark contrast with the traditional approach of avoiding these elements.

Band structure engineering and reconstruction in electric circuit networks

We develop an approach to design, engineer, and measure band structures in a synthetic crystal composed of electric circuit elements. Starting from the nodal analysis of a circuit lattice in terms of

NON-HERMITIAN LOCALIZATION AND POPULATION BIOLOGY

This work proposes a delocalization transition for the steady state of the nonlinear problem at a critical convection threshold separating localized and extended states, and describes singular scaling behavior described by a $(d\ensuremath{-}1)$-dimensional generalization of the noisy Burgers' equation.