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Performing interferometry in an optical lattice formed by standing waves of light offers potential advantages over its free-space equivalents since the atoms can be confined and manipulated by the optical potential. We demonstrate such an…

Flat band (FB) systems provide ideal playgrounds for studying correlation physics, whereas multi-orbital characteristics in real materials are distinguished from most simple FB models. Here, we propose a systematic and versatile framework…

Mesoscale and Nanoscale Physics · Physics 2026-03-24 Rui-Heng Liu , Xin Liu

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

Exact method of analytical solution of flat, non-dispersive eigenstates in a class of quasi-one dimensional structures is reported within the tight-binding framework. The states are localized over certain sublattice sites. One such finite…

Disordered Systems and Neural Networks · Physics 2020-06-30 Atanu Nandy

We benchmark the recently proposed projection method [Phys. Rev. B 111, 205133 (2025)] for magic-angle twisted bilayer graphene (MATBG) across various symmetry-breaking phases at charge neutrality. The flat-band projected solutions agree…

Mesoscale and Nanoscale Physics · Physics 2026-02-09 Miguel Sánchez Sánchez , Tobias Stauber

Dispersionless flat bands can be classified into two types: (1) non-singular flat bands whose eigenmodes are completely characterized by compact localized states; and (2) singular flat bands that have a discontinuity in their Bloch…

Applied Physics · Physics 2023-08-01 Pragalv Karki , Jayson Paulose

We propose and analyze a physical system that naturally admits two-dimensional topological nearly flat bands. Our approach utilizes an array of three-level dipoles (effective S = 1 spins) driven by inhomogeneous electromagnetic fields. The…

Strongly Correlated Electrons · Physics 2013-11-28 Norman Y. Yao , Chris R. Laumann , Alexey V. Gorshkov , Steven D. Bennett , Eugene Demler , Peter Zoller , Mikhail D. Lukin

Flat bands are intriguing platforms for correlated and topological physics. Various methods have been developed to create flat bands utilizing lattice geometry, but the investigation of orbital symmetry in multiorbital materials is a new…

Strongly Correlated Electrons · Physics 2024-10-01 Keyu Zeng , Ziqiang Wang

We study flat bands in bipartite tight-binding networks with discrete translational invariance. Chiral flat bands with chiral symmetry eigenenergy E = 0 and host compact localized eigenstates for finite range hopping. For a bipartite…

Mesoscale and Nanoscale Physics · Physics 2017-10-18 Ajith Ramachandran , Alexei Andreanov , Sergej Flach

While multiband systems are usually considered for flat-band physics, here we study one-band models that have flat portions in the dispersion to explore correlation effects in the 2D repulsive Hubbard model in an intermediate coupling…

The crystal structure of a material creates a periodic potential that electrons move through giving rise to the electronic band structure of the material. When two-dimensional materials are stacked, the twist angle between the layers…

Strongly Correlated Electrons · Physics 2020-07-07 Zhiming Zhang , Yimeng Wang , Kenji Watanabe , Takashi Taniguchi , Keiji Ueno , Emanuel Tutuc , Brian J. LeRoy

Photonic analogs of the moir\'e superlattices mediated by interlayer electromagnetic coupling are expected to give rise to rich phenomena such as nontrivial flatband topology. Here, we propose and demonstrate a scheme to tune the flatbands…

Optics · Physics 2023-09-29 Peilong Hong , Yi Liang , Zhigang Chen , Guoquan Zhang

The emergence of a flat band in Dirac-Weyl materials offers new possibilities for electronic transitions, leading to stronger interaction with light. As a result, the optical conductivity can be significantly enhanced in these flat-band…

Optics · Physics 2024-02-23 Li-Li Ye , Chen-Di Han , Ying-Cheng Lai

The notion of an electronic flat band refers to a collectively degenerate set of quantum mechanical eigenstates in periodic solids. The vanishing kinetic energy of flat bands relative to the electron-electron interaction is expected to…

Though several theoretical models have been proposed to design electronic flat-bands, the definite experimental realization in two-dimensional atomic crystal is still lacking. Here we propose a novel and realistic flat-band model based on…

Materials Science · Physics 2021-02-04 Jiang Zeng , Ming Lu , Haiwen Liu , Hua Jiang , X. C. Xie

Properly modulated flatband lattices have a divergent density of states at the flatband energy. Quasiperiodic modulations are known to host a metal insulator transition already in one space dimension. Their embedding into flatband…

Strongly Correlated Electrons · Physics 2016-02-09 Carlo Danieli , Joshua D. Bodyfelt , Sergej Flach

Anomalous mobility edges(AMEs), separating localized from multifractal critical states, represent a novel form of localization transition in quasiperiodic systems. However, quasi-periodic models exhibiting exact AMEs remain relatively rare,…

Disordered Systems and Neural Networks · Physics 2025-06-16 Zhanpeng Lu , Hui Liu , Yunbo Zhang , Zhihao Xu

Topological flat bands have gained extensive interest as a platform for exploring the interplay between nontrivial band topology and correlation effects. In recent studies, strongly correlated phenomena originating from a topological flat…

Mesoscale and Nanoscale Physics · Physics 2025-04-25 Sogen Ikegami , Kiyu Fukui , Shun Okumura , Yasuyuki Kato , Yukitoshi Motome

Recently, the possibility of high-temperature superconductivity (SC) in flat-band (FB) systems has been the focus of a great deal of activity. This study reveals that unlike conventional intra-band SC for which disorder has a dramatic…

Superconductivity · Physics 2025-12-09 Georges Bouzerar , Maxime Thumin

Flat electronic bands, where interactions among electrons overwhelm their kinetic energies, hold the promise for exotic correlation physics. The dice lattice has long been theorized as a host of flat bands with intriguing band topology.…