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Flatbands emerge from a myriad of structures such as Landau levels, Lieb and Kagome lattices, linegraphs, and more recently moire superlattices. They enable unique properties including slow light in photonics, correlated phases in…

Graphene based nanostructures exhibit flat electronic energy bands in their single-particle spectrum. We consider interacting electrons in flat bands of zig-zag nanoribbons. We present a protocol for flat-band projection that yields…

Strongly Correlated Electrons · Physics 2012-03-02 Hao Wang , V. W. Scarola

We identify the many-body counterpart of flat bands, which we call many-body caging, as a general mechanism for non-equilibrium phenomena such as a novel type of glassy eigenspectrum order and many-body Rabi oscillations in the time domain.…

Quantum Gases · Physics 2025-04-18 Tom Ben-Ami , Markus Heyl , Roderich Moessner

The effect of increasing structural disorder on the distribution of contact forces P(f), inside three dimensional particle assemblies is systematically studied using computer simulations of model granular packings. Starting from a…

Soft Condensed Matter · Physics 2011-08-02 Leonardo E. Silbert

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

We propose a new class of tight-binding models where a flat band is either gapped from or crossing right through a dispersive band on two-band (i.e., two sites/unit cell) tetragonal and honeycomb lattices. By imposing a condition on the…

Materials Science · Physics 2017-10-27 Tatsuhiro Misumi , Hideo Aoki

In this paper we introduce Parity-Time ($\cal PT$) symmetric perturbation to a one-dimensional Lieb lattice, which is otherwise $\cal P$-symmetric and has a flat band. In the flat band there are a multitude of degenerate dark states, and…

Optics · Physics 2016-01-25 Li Ge

Two-dimensional electronic flat bands and their induced correlated electronic interactions have been discovered, probed, and tuned in interlayer regions of hexagonally shaped van der Waals moire superlattices. Fabrication of anisotropic…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Yafei Li , Qing Yuan , Deping Guo , Cancan Lou , Xingxia Cui , Guangqiang Mei , Hrvoje Petek , Limin Cao , Wei Ji , Min Feng

We compute the second-order correction to the electronic dispersion relation of a free electron gas interacting with an effective electron-dislocation potential, derived from a modern quantized theory of dislocations. Our results…

Strongly Correlated Electrons · Physics 2025-04-11 Aziz Fall , Kaushik Dayal

Constructions of synthetic lattices in photonics attract growingly attentions for exploring interesting physics beyond the geometric dimensionality, among which modulated ring resonator system has been proved as a powerful platform to…

We propose a powerful and convenient method to systematically design flat-band lattice models, which overcomes the difficulties underlying the previous method. Especially, our method requires no elaborate calculations, applies to arbitrary…

Quantum Gases · Physics 2020-11-11 Youjiang Xu , Han Pu

We investigate transport phenomena and dynamical effects in flat bands where the band dispersion plays no role. We show that wavepackets in geometrically non-trivial flat bands can display dynamics when inhomogeneous electric fields are…

Mesoscale and Nanoscale Physics · Physics 2025-06-06 Jing-Xin Liu , Giandomenico Palumbo , Marco Di Liberto

We experimentally investigate the band structures of chirally twisted triple bilayer graphene. The new kind of moir\'e structure, formed by three pieces of helically stacked Bernal bilayer graphene, has flat bands at charge neutral point…

Mesoscale and Nanoscale Physics · Physics 2025-01-14 Wenlu Lin , Wenxuan Wang , Shimin Cao , Miao Liang , Lili Zhao , Kenji Watanabe , Takashi Taniguchi , Jinhua Gao , Jianhao Chen , Xiaobo Lu , Yang Liu

We discuss integrable discretizations of 3-dimensional cyclic systems, that is, orthogonal coordinate systems with one family of circular coordinate lines. In particular, the underlying circle congruences are investigated in detail, and…

Exactly Solvable and Integrable Systems · Physics 2022-05-19 Udo Hertrich-Jeromin , Gudrun Szewieczek

Many suspensions contain particles with complex shapes that are affected not only by hydrodynamics, but also by thermal fluctuations, internal kinematic constraints and other long-range non-hydrodynamic interactions. Modeling these systems…

Soft Condensed Matter · Physics 2025-07-31 Blaise Delmotte , Florencio Balboa Usabiaga

Tetrachiral materials are characterized by a cellular microstructure made by a periodic pattern of stiff rings and flexible ligaments. Their mechanical behaviour can be described by a planar lattice of rigid massive bodies and elastic…

Materials Science · Physics 2018-03-05 Marco Lepidi , Andrea Bacigalupo

The first-principles band theory paradigm has been a key player not only in the process of discovering new classes of topologically interesting materials, but also for identifying salient characteristics of topological states, enabling…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Arun Bansil , Hsin Lin , Tanmoy Das

Recently, artificial moire superlattices of classical waves have aroused tremendous interest, inspired by the newly emergent twistronics that focuses on the peculiar electronic properties induced by flat bands. However, so far, the moire…

Materials Science · Physics 2021-12-28 Tingzhi Liu , Xingjian Zhang , Qicheng Zhang , Xiying Fan , Fengcheng Wu , Chunyin Qiu

We theoretically investigate three-dimensional singular flat band systems, focusing on their quantum geometric properties and response to external magnetic fields. As a representative example, we study the pyrochlore lattice, which hosts a…

Mesoscale and Nanoscale Physics · Physics 2026-02-02 Takuto Kawakami , Yuji Igarashi , Mikito Koshino

Coherent structures emerge from the dynamics of many kinds of dissipative, externally driven, nonlinear systems, and continue to provoke new questions that challenge our physical and mathematical understanding. In one specific sub-class of…

Pattern Formation and Solitons · Physics 2010-08-24 Jonathan Dawes