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Related papers: Flat Bands from Diffraction in Periodic Systems

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Two-dimensional lattices of coupled micropillars etched in a planar semiconductor microcavity offer a workbench to engineer the band structure of polaritons. We report experimental studies of honeycomb lattices where the polariton…

Flat bands play an important role in diffraction-free photonics and attract fundamental interest in many-body physics. Here we report the engineering of flat-band localization of collective excited states of atoms in Creutz superradiance…

Quantum Physics · Physics 2021-03-17 Yanyan He , Ruosong Mao , Han Cai , Jun-Xiang Zhang , Yongqiang Li , Luqi Yuan , Shi-Yao Zhu , Da-Wei Wang

Local configurational symmetry in lattice structures may give rise to stationary, compact solutions, even in the absence of disorder and nonlinearity. These compact solutions are related to the existence of flat dispersion curves (bands).…

Pattern Formation and Solitons · Physics 2017-11-22 Nathan Perchikov , O. V. Gendelman

We study the impact of classical short-range nonlinear interactions on transport in lattices with no dispersion. The single particle band structure of these lattices contains flat bands only, and cages non-interacting particles into compact…

Quantum Gases · Physics 2021-08-25 Carlo Danieli , Alexei Andreanov , Thudiyangal Mithun , Sergej Flach

Theoretical quest of flat-band tight-binding models usually relies on lattice structures on which electrons reside. Typical examples of candidate lattice structures include the Lieb-type lattices and the line graphs. Meanwhile, there can be…

Materials Science · Physics 2024-11-27 Tomonari Mizoguchi , Mina Maruyama , Yasuhiro Hatsugai , Susumu Okada

Engineering the dispersion of light in a metasurface allows for controlling the light-matter interaction strength between light confined in the metasurface and materials placed within its near-field. Specifically, engineering a flatband…

Understanding the wave transport and localisation is a major goal in the study of lattices of different nature. In general, inhibiting the energy transport on a perfectly periodic and disorder-free system is challenging, however, some…

Photonic lattices facilitate band structure engineering, supporting both localized and extended modes through their geometric design. However, greater control over these modes can be achieved by taking advantage of the interference effect…

We study localization and flat-band formation in lattices generated by repeated edge inflation of square, honeycomb, and triangular parent lattices. Replacing each bond by a finite tight-binding chain produces several distinct classes of…

Disordered Systems and Neural Networks · Physics 2026-04-15 Richard Berkovits

While kinetic energy of a massive particle generally has quadratic dependence on its momentum, a flat, dispersionless energy band is realized in crystals with specific lattice structures. Such macroscopic degeneracy causes the emergence of…

We develop a simple and general method to construct arbitrary Flat Band lattices. We identify the basic ingredients behind zero-dispersion bands and develop a method to construct extended lattices based on a consecutive repetition of a…

Optics · Physics 2016-10-26 Luis Morales-Inostroza , Rodrigo A. Vicencio

We propose that light-matter coupling can be used to realize synthetic lattices. In particular, we consider a one-dimensional chain of exciton-photon sites to create a comb lattice that exhibits a transition from a flat band to a finite…

Mesoscale and Nanoscale Physics · Physics 2023-04-27 Amir Rahmani , Mateusz Kędziora , Andrzej Opala , Michał Matuszewski

In the present study, we propose a unique scheme to generate and control multiple flat bands in a decorated diamond chain by using a strain-induced proximity effect between the diagonal sites of each diamond plaquette. This is in complete…

Strongly Correlated Electrons · Physics 2025-12-11 K Shivanand Thakur , Vihodi Theuno , Amrita Mukherjee , Biplab Pal

Interactions between stacked two-dimensional (2D) atomic crystals can radically change their properties, leading to essentially new materials in terms of the electronic structure. Here we show that monolayers placed on an atomically flat…

We present analytical and numerical study of photonic lattice with short- and long-range harmonic modulations of the refractive index. Such structures can be prepared experimentally with holographic photolithography. In the spectral region…

Optics · Physics 2009-11-13 Alexey G. Yamilov , Mark R. Herrera , Massimo F. Bertino

The interplay of hopping parameters that can give rise to flat bands in consequence of quantum interference in electronic, photonic, and other interesting materials has become an extensively studied topic. Most of the recognized structures…

Materials Science · Physics 2019-08-02 Chi-Cheng Lee , Antoine Fleurence , Yukiko Yamada-Takamura , Taisuke Ozaki

The geometry of optical lattices can be engineered allowing the study of atomic transport along paths arranged in patterns that are otherwise difficult to probe in the solid state. A question readily accessible to atomic systems is related…

Quantum Gases · Physics 2016-05-02 Mekena Metcalf , Gia-Wei Chern , Massimiliano Di Ventra , Chih-Chun Chien

We review both theoretical and experimental advances in the recently emerged physics of modulated photonic lattices. Artificial periodic dielectric media, such as photonic crystals and photonic lattices, provide a powerful tool for the…

Flat-band models have been of particular interest from both fundamental aspects and realization in materials. Beyond the canonical examples such as Lieb lattices and line graphs, a variety of tight-binding models are found to possess flat…

Materials Science · Physics 2021-08-05 Tomonari Mizoguchi , Hosho Katsura , Isao Maruyama , Yasuhiro Hatsugai

Materials with flat bands can serve as a promising platform to investigate strongly interacting phenomena. However, experimental realization of ideal flat bands is mostly limited to artificial lattices or moir\'e systems. Here we report a…