Chiral Voltage Propagation and Calibration in a Topolectrical Chern Circuit.

@article{Hofmann2018ChiralVP,
  title={Chiral Voltage Propagation and Calibration in a Topolectrical Chern Circuit.},
  author={Tobias Hofmann and Tobias Helbig and Ching Hua Lee and Martin Greiter and Ronny Thomale},
  journal={Physical review letters},
  year={2018},
  volume={122 24},
  pages={
          247702
        }
}
We propose an electric circuit array with topologically protected unidirectional voltage modes at its boundary. Instead of external bias fields or Floquet engineering, we employ negative impedance converters with current inversion (INICs) to accomplish a nonreciprocal, time-reversal symmetry-broken electronic network we call a topolectrical Chern circuit (TCC). The TCC features an admittance bulk gap fully tunable via the resistors used in the INICs, along with a chiral voltage boundary mode… 

Figures from this paper

Chern insulators for electromagnetic waves in electrical circuit networks

Periodic networks composed of capacitors and inductors have been demonstrated to possess topological properties with respect to incident electromagnetic waves. Here, we develop an analogy between the

Robust Multiplexing with Topolectrical Higher-Order Chern Insulators

We explore an implementation of a higher-order Chern insulator in a topolectrical circuit as a platform to implement robust signal multiplexing. By utilizing basic circuit layouts that realize the

Observation of antichiral edge states in a circuit lattice

We construct an electrical circuit to realize a modified Haldane lattice exhibiting the phenomenon of antichiral edge states. The circuit consists of a network of inductors and capacitors with

Topolectric circuits: Theory and construction

We highlight a general theory to engineer arbitrary Hermitian tight-binding lattice models in electrical LC circuits, where the lattice sites are replaced by the electrical nodes, connected to its

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

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

Non-Hermitian Exceptional Landau Quantization in Electric Circuits.

This work identifies the low-energy physics with a generic real energy spectrum from the NH Landau quantization of exceptional points and rings, which can avoid the NH skin effect and provides a physical example of a quasiparticle moving in the complex plane.

A topolectrical higher-order Chern insulator

We propose a scheme to realize a higher-order Chern insulator in an electrical circuit. By utilizing basic circuit elements synthesizing complex hoppings between sites of the lattice, we observe

Reciprocal skin effect and its realization in a topolectrical circuit

A system is non-Hermitian when it exchanges energy with its environment and non-reciprocal when it behaves differently upon the interchange of input and response. Within the field of metamaterial

Electric circuit realizations of fracton physics

We design a set of classical macroscopic electric circuits in which charge exhibits the mobility restrictions of fracton quasiparticles. The crucial ingredient in these circuits is a transformer,
...

References

SHOWING 1-10 OF 29 REFERENCES

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

Topological properties of linear circuit lattices.

The normal mode frequency matrix of the circuit is unitarily equivalent to the hopping matrix of a quantum spin Hall insulator, and perturbations that do not backscatter the circuit's edge modes are identified.

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

Topolectrical Circuits

Invented by Alessandro Volta and Félix Savary in the early 19th century, circuits consisting of resistor, inductor and capacitor (RLC) components are omnipresent in modern technology. The behavior of

Topologically robust sound propagation in an angular-momentum-biased graphene-like resonator lattice

The concept of topological order in classical acoustics is introduced, realizing robust topological protection and one-way edge propagation of sound in a suitably designed resonator lattice biased with angular momentum, forming the acoustic analogue of a magnetically biased graphene layer.

Gyrotropic response in the absence of a bias field

This work introduces a microwave gyrotropic metamaterial that does not require an external magnetic bias and is scalable to many other wavelengths, and illustrates an opportunity to synthesize exotic electromagnetic materials.

Photonic Floquet topological insulators

This work proposes and experimentally demonstrate a photonic topological insulator free of external fields and with scatter-free edge transport—a photonic lattice exhibiting topologically protected transport of visible light on the lattice edges.

Reflection-free one-way edge modes in a gyromagnetic photonic crystal.

It is shown that the TM modes in a gyromagnetic photonic crystal can be formally mapped to electronic wave functions in a periodic electromagnetic field, so that the only requirement for the existence of one-way edge modes is that the Chern number for all bands below a gap is nonzero.

Exciton-polariton topological insulator

It is demonstrated experimentally an exciton-polariton topological insulator that the topological edge mode goes around defects, and that its propagation direction can be reversed by inverting the applied magnetic field.

Higher-order topological electric circuits and topological corner resonance on the breathing kagome and pyrochlore lattices

Electric circuits are known to realize topological quadrupole insulators. We explore electric circuits made of capacitors and inductors forming the breathing Kagome and pyrochlore lattices. They are