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
- PhysicsNature
- 2017
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
- PhysicsNature Physics
- 2018
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…
Topological Phases of Non-Hermitian Systems
- PhysicsPhysical Review X
- 2018
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.
- PhysicsPhysical review letters
- 2018
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.
Chiral Voltage Propagation and Calibration in a Topolectrical Chern Circuit.
- PhysicsPhysical review letters
- 2019
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
- PhysicsScience
- 2019
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
- PhysicsPhysical Review B
- 2019
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
- Physics
- 1998
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.
Spawning rings of exceptional points out of Dirac cones
- PhysicsNature
- 2015
The results indicate that the radiation existing in any open system can fundamentally alter its physical properties in ways previously expected only in the presence of material loss and gain.
Localization Transitions in Non-Hermitian Quantum Mechanics.
- PhysicsPhysical review letters
- 1996
The theory predicts that, close to the depinning transition, the transverse Meissner effect is accompanied by stretched exponential relaxation of the field into the bulk and a diverging penetration depth.