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Controlling light-matter interactions is central to photonic technologies ranging from lasers to optical information processing. Suitably designed photonic structures give rise to flat (dispersionless) bands, where the density of states…

Certain lattices with specific geometries have one or more spectral bands that are strictly flat, i.e. the electron energy is independent of the momentum. This can occur robustly irrespective of the specific couplings between the lattices…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 Md Nurul Huda , Shawulienu Kezilebieke , Peter Liljeroth

Photonic flat bands are crucial for enabling strong localization of light and enhancing light-matter interactions, as well as tailoring the angular distribution of emission from photonic structures. These unique properties open pathways for…

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…

Mesoscale and Nanoscale Physics · Physics 2018-06-07 Daniel Leykam , Alexei Andreanov , Sergej Flach

Flat bands, characterized by zero group velocity and strong energy localization, enable interaction-enhanced phenomena across both quantum and classical systems. Existing photonic flat-band implementations were limited to evanescent-wave…

Optics · Physics 2025-09-17 Han-Rong Xia , Ziyao Wang , Yunrui Wang , Zhen Gao , Meng Xiao

Flatbands play an important role in correlated quantum matter and have novel applications in photonic lattices. Synthetic magnetic fields and destructive interference in lattices are traditionally used to obtain flatbands. However, such…

Flat energy bands of model lattice Hamiltonians provide a key ingredient in designing dispersionless wave excitations and have become a versatile platform to study various aspects of interacting many-body systems. Their essential merit lies…

Mesoscale and Nanoscale Physics · Physics 2021-07-15 C. V. Morfonios , M. Röntgen , M. Pyzh , P. Schmelcher

Flat bands - single-particle energy bands - in tight-binding networks have attracted attention due to the presence of macroscopic degeneracies and their extreme sensitivity to perturbations. This makes them natural candidates for emerging…

Optics · Physics 2024-03-27 Carlo Danieli , Alexei Andreanov , Daniel Leykam , Sergej Flach

We investigate the optical properties of a photonic crystal composed of a quasi-one-dimensional flat-band lattice array through finite-difference time-domain simulations. The photonic bands contain flat bands (FBs) at specific frequencies,…

The capability to temporarily arrest the propagation of optical signals is one of the main challenges hampering the ever more widespread use of light in rapid long-distance transmission as well as all-optical on-chip signal processing or…

We introduce a systematic method for constructing a class of lattice structures that we call ``partial line graphs''.In tight-binding models on partial line graphs, energy bands with flat energy dispersions emerge.This method can be applied…

Strongly Correlated Electrons · Physics 2009-11-11 Shin Miyahara , Kenn Kubo , Hiroshi Ono , Yoshihiro Shimomura , Nobuo Furukawa

Flatband photonic lattices, i.e. arrays of waveguides or resonators displaying a flat Bloch band, offer new routes for light trapping and distortion-free imaging. Here it is shown that flatland lattices can show stable and cooperative laser…

Optics · Physics 2021-02-19 Stefano Longhi

The existence of flat bands is generally thought to be physically possible only for dimensions larger than one. However, by exciting a system with different orthogonal states this condition can be reformulated. In this work, we demonstrate…

Optics · Physics 2019-07-10 Gabriel Cáceres-Aravena , Rodrigo A. Vicencio

Photonic flat bands offer significant potential for strong light-matter interactions, nonlinear optics, and sensing thanks to their localization of light and high density of states. However, realizing these flat bands typically requires…

Optics · Physics 2026-05-08 Dun Wang , Shupeng Xu , Jia-chen Shi , Xuyang Li , Ritesh Agarwal

A flat band is nondispersive and formed under destructive interference. Although flat bands are found in various Hermitian systems, to realize a flat band in non-Hermitian systems is an interesting task. Here, we propose a flat band in a…

Quantum Physics · Physics 2019-03-07 L. Jin

Linear wave equations on Hamiltonian lattices with translational invariance are characterized by an eigenvalue band structure in reciprocal space. Flat band lattices have at least one of the bands completely dispersionless. Such bands are…

Disordered Systems and Neural Networks · Physics 2018-01-12 Ajith Ramachandran , Carlo Danieli , Sergej Flach

Flat bands in driven-dissipative systems offer a route to engineer strongly localized, long-lived excitations, yet their selective population via incoherent pumping remains an open challenge. We study a one-dimensional chain of coupled…

Optics · Physics 2026-03-30 A. N. Osipov , I. G. Savenko , Sergej Flach , A. V. Yulin

We demonstrate the emergence of an entire flat band embedded in dispersive bands at the exceptional point of a PT symmetric photonic lattice. For this to occur, the gain and loss parameter effectively alters the size of the partial flat…

Optics · Physics 2017-07-12 Hamidreza Ramezani

We report the presence of multiple flat bands in a class of two-dimensional (2D) lattices formed by Sierpinski gasket (SPG) fractal geometries as the basic unit cells. Solving the tight-binding Hamiltonian for such lattices with different…

Disordered Systems and Neural Networks · Physics 2018-05-02 Biplab Pal , Kush Saha

The increased ability to engineer two-dimensional (2D) systems, either using materials, photonic lattices, or cold atoms, has led to the search for 2D structures with interesting properties. One such property is the presence of flat bands.…

Strongly Correlated Electrons · Physics 2023-12-05 Jun-Hyung Bae , Tigran Sedrakyan , Saurabh Maiti
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