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Related papers: Decoding flat bands from compact localized states

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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

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

We develop a comprehensive theoretical framework that unifies quantum emission dynamics in one-dimensional Lieb lattices, bridging the gap between ideal flat-band coherence and realistic narrow-band dissipation. By coupling an emitter to…

Optics · Physics 2026-05-08 Zhiyong Liu , Yue Sun , Ying Hu

Dispersionless bands -- \emph{flatbands} -- provide an excellent testbed for novel physical phases due to the fine-tuned character of flatband tight-binding Hamiltonians. The accompanying macroscopic degeneracy makes any perturbation…

Mesoscale and Nanoscale Physics · Physics 2021-04-21 Wulayimu Maimaiti , Alexei Andreanov , Sergej Flach

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

The flat band localization, as an important phenomenon in solid state physics, is fundamentally interesting in the exploration of exotic ground property of many-body system. Here we demonstrate the appearance of a flat band in a general…

Mesoscale and Nanoscale Physics · Physics 2018-01-16 Liang-Liang Wan , Xin-You Lü , Jin-Hua Gao , Ying Wu

We present two methods for constructing a flat band (FB) system having a flat energy dispersion over the entire Brillouin zone within tight-binding model, where the resulting Hamiltonian may not be easily obtained by existing methods based…

Materials Science · Physics 2021-05-19 Toshitaka Ogata , Mitsuaki Kawamura , Taisuke Ozaki

Dispersionless bands, such as Landau levels, serve as a good starting point for obtaining interesting correlated states when interactions are added. With this motivation in mind, we study a variety of dispersionless ("flat") band structures…

Strongly Correlated Electrons · Physics 2013-05-29 Dmitry Green , Luiz Santos , Claudio Chamon

Exotic phases of matter emerge from the interplay between strong electron interactions and non-trivial topology. Owing to their lack of dispersion at the single-particle level, systems harboring flat bands are excellent testbeds for…

Mesoscale and Nanoscale Physics · Physics 2022-01-24 Dumitru Călugăru , Aaron Chew , Luis Elcoro , Nicolas Regnault , Zhi-Da Song , B. Andrei Bernevig

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

Flat bands have become a pillar of modern condensed matter physics and photonics owing to the vanishing group velocity and diverging density of states. Here, we present a paradigmatic scheme to construct arbitrary flat bands on demand by…

Optics · Physics 2025-11-27 Moru Song , Jingyu Hu , Lina Shi , YongliangZhang , Kai Chang

We continue our study of the quantum optics of a single photon interacting with a system of two level atoms. In this work we investigate the case of a periodic arrangement of atoms. We provide a general structure theorem characterizing the…

Mathematical Physics · Physics 2023-11-22 Erik Orvehed Hiltunen , Joseph Kraisler , John C. Schotland , Michael I. Weinstein

Flat-band topologies and localizations in non-interacting systems are extensively studied in different quantum and classical-wave systems. Recently, the exploration on the novel physics of flat-band localizations and topologies in…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Xiaoqi Zhou , Weixuan Zhang , Houjun Sun , Xiangdong Zhang

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…

Flat bands result in a divergent density of states and high sensitivity to interactions in physical systems. While such bands are well known in systems under magnetic fields, their realization and behavior in zero-field settings remain…

Strongly Correlated Electrons · Physics 2025-08-05 Chen-Xin Jiang , Zi-Xiang Hu , Bo Yang

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 existence of compact localized eigenstates. We study…

Disordered Systems and Neural Networks · Physics 2017-01-13 Daniel Leykam , Joshua D. Bodyfelt , Anton S. Desyatnikov , Sergej Flach

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

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 Hamiltonians are finetuned networks, still lacking…

Mesoscale and Nanoscale Physics · Physics 2019-03-20 Wulayimu Maimaiti , Alexei Andreanov , Hee Chul Park , Oleg Gendelman , Sergej Flach

On the basis of the "molecular-orbital" representation which describes generic flat-band models, we propose a systematic way to construct a class of flat-band models with finite-range hoppings that have topological natures. In these models,…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 Tomonari Mizoguchi , Yasuhiro Hatsugai

In recent years, there has been a growing interest in flatband systems which exhibit macroscopic degeneracies. These systems offer a valuable mathematical framework for the extreme sensitivity to perturbations and interactions. This…

Disordered Systems and Neural Networks · Physics 2024-01-19 Sanghoon Lee