Artificial flat band systems: from lattice models to experiments

@article{Leykam2018ArtificialFB,
  title={Artificial flat band systems: from lattice models to experiments},
  author={Daniel Leykam and Alexei Andreanov and Sergej Flach},
  journal={Advances in Physics: X},
  year={2018},
  volume={3}
}
Abstract Certain lattice wave systems in translationally invariant settings have one or more spectral bands that are strictly flat or independent of momentum in the tight binding approximation, arising from either internal symmetries or fine-tuned coupling. These flat bands display remarkable strongly interacting phases of matter. Originally considered as a theoretical convenience useful for obtaining exact analytical solutions of ferromagnetism, flat bands have now been observed in a variety… 

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References

SHOWING 1-10 OF 205 REFERENCES

Compact flat band states in optically induced flatland photonic lattices

We realize low-dimensional tight-binding lattices that host flat bands in their dispersion relation and demonstrate the existence of optical compact flat band states. The lattices are resembled by

Observation of Localized States in Lieb Photonic Lattices.

The first experimental demonstration of a new type of localized state in the continuum, namely, compacton-like linear states in flat-band lattices in photonic Lieb lattices, which exhibit three tight-binding bands.

Compact localized states and flat-band generators in one dimension

Flat bands (FB) are strictly dispersionless bands in the Bloch spectrum of a periodic lattice Hamiltonian, recently observed in a variety of photonic and dissipative condensate networks. FB

Observation of a Localized Flat-Band State in a Photonic Lieb Lattice.

The first experimental realization of a dispersionless state is demonstrated, in a photonic Lieb lattice formed by an array of optical waveguides, which opens an exciting door towards quantum simulation of flat-band models in a highly controllable environment.

Localization of weakly disordered flat band states

Abstract Certain tight binding lattices host macroscopically degenerate flat spectral bands. Their origin is rooted in local symmetries of the lattice, with destructive interference leading to the

Flat bands with nontrivial topology in three dimensions

We construct a simple model for electrons in a three-dimensional crystal where a combination of short-range hopping and spin-orbit coupling results in nearly flat bands characterized by a nontrivial

Observation of localized flat-band modes in a quasi-one-dimensional photonic rhombic lattice.

In the future, the use of photonic rhombic lattices, together with the successful implementation of a synthetic gauge field, will enable the observation of Aharonov-Bohm photonic caging.

Observation of localized flat-band states in Kagome photonic lattices.

This work reports the first experimental demonstration of localized flat-band states in optically induced Kagome photonic lattices and demonstrates a high-fidelity transmission of complex patterns in such two-dimensional pyrochlore-like photonic structures.

Bosonic Condensation and Disorder-Induced Localization in a Flat Band.

The engineering of a nondispersive (flat) energy band in a geometrically frustrated lattice of micropillar optical cavities offers a novel approach to studying coherent phases of light and matter under the controlled interplay of frustration, interactions, and dissipation.

Defect States Emerging from a non-Hermitian Flat Band of Photonic Zero Modes

In this work we show that there exists a flat band consisting of photonic zero modes in a gain and loss modulated lattice system, as a result of the underlying non-Hermitian particle-hole (NHPH)
...