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Interaction in a flat band is magnified due to the divergence in the density of states, which gives rise to a variety of many-body phenomena such as ferromagnetism and Wigner crystallization. Until now, however, most studies of the flat…

Materials Science · Physics 2018-08-01 Yuanping Chen , Shenglong Xu , Yuee Xie , Chengyong Zhong , Congjun Wu , S. B. Zhang

Rhombohedral (ABC-stacked) multilayer graphene hosts interaction-driven phases enabled by surface flat bands at large displacement fields. In thick flakes, however, strong screening suppresses internal electric fields, raising the question…

Mesoscale and Nanoscale Physics · Physics 2026-05-26 Kryštof Kolář , Andrea F. Young , Cyprian Lewandowski

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 present a thorough tight-binding analysis of the band structure of a wide variety of lattices belonging to the class of honeycomb and Kagome systems including several mixed forms combining both lattices. The band structure of these…

Strongly Correlated Electrons · Physics 2017-11-22 Cyrille Barreteau , Francois Ducastelle , Talal Mallah

Flat-bands play a central role in the presence of correlated phases in Moir\'e and other modulated two dimensional systems. In this work, flat-bands are shown to exist in uniaxially periodic strained graphene. Such strain should be produced…

Mesoscale and Nanoscale Physics · Physics 2023-07-05 Elias Andrade , Florentino López-Urías , Gerardo G. Naumis

Systems with engineered flatband spectra are a postulate of high-capacity transmission links and a candidate for high-temperature superconductivity. However, their operation relies on the edge or surface modes susceptible to fluctuations…

In the quest for topology- and correlation-driven quantum states, kagome lattice materials have garnered significant interest for their band structures, featuring flat bands (FBs) from the quantum destructive interference of the electronic…

Periodic photonic structures enable precise control over the light-matter interaction through band structure engineering. Certain lattice geometries exhibit dispersionless flat bands, characterized by vanishing group velocity and diverging…

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

Topological phases and modes, including pseudospin-Hall-selective edge transport and corner states, provide robust control of wave propagation and modal confinement in classical wave platforms. Under a tight-binding framework, we…

Mesoscale and Nanoscale Physics · Physics 2025-12-03 Shenglong Guo , Qinhui Jiang , Yuma Kawaguchi , Bo Li , Mengyao Li

The realization of robust quantum storage devices relies on the ability to generate long-lived, spatially localized quantum states. In this work, we introduce a method for the targeted creation of compact excitations in flat-band lattices.…

Optics · Physics 2026-02-12 Carlo Danieli , Jie Liu , Rudolf A. Römer , Rodrigo A. Vicencio

Moir\'e superlattices in twisted homo-bilayers have revealed exotic electronic states, including unconventional superconductivity and correlated insulating phases. However, their fabrication process often introduces moir\'e disorders,…

Mesoscale and Nanoscale Physics · Physics 2025-02-13 Zeyu Liu , Xianghua Kong , Zewen Wu , Linwei Zhou , Jingsi Qiao , Wei Ji

We study spectral properties of perturbed discrete Laplacians on two-dimensional Archimedean tilings. The perturbation manifests itself in the introduction of non-trivial edge weights. We focus on the two lattices on which the unperturbed…

Spectral Theory · Mathematics 2024-01-01 Joachim Kerner , Matthias Täufer , Jens Wintermayr

One promising way to enhance superconductivity is to have coexisting wide and incipient narrow bands, where the Fermi level intersecting the wide band lies just above the narrow band, by which finite-energy spin fluctuations act as glue to…

Superconductivity · Physics 2024-08-21 Tetsuaki Aida , Karin Matsumoto , Daisuke Ogura , Masayuki Ochi , Kazuhiko Kuroki

We demonstrate, by explicit construction, that a single band tight binding Hamiltonian defined on a class of deterministic fractals of the b = 3N Sierpinski type can give rise to an infinity of dispersionless, flat-band like states which…

Disordered Systems and Neural Networks · Physics 2015-03-11 Atanu Nandy , Biplab Pal , Arunava Chakrabarti

Flat bands amplify correlation effects and are of extensive current interest. They provide a platform to explore both topology in correlated settings and correlation physics enriched by topology. Recent experiments in correlated kagome…

Strongly Correlated Electrons · Physics 2023-07-31 Haoyu Hu , Qimiao Si

A new kind of regular quasienergy (Floquet) spectrum is found for the generalized kicked particle under quantum-resonance conditions at generic quasimomentum, a quantity most relevant in atom-optics experimental realizations of kicked-rotor…

Chaotic Dynamics · Physics 2013-04-18 Itzhack Dana

Flat band systems can yield interesting phenomena, such as dispersion suppression of waves with frequency at the band. While linear transport vanishes, the corresponding nonlinear case is still an open question. Here, we study power…

Pattern Formation and Solitons · Physics 2023-12-01 H. Susanto , N. Lazarides , I. Kourakis

Magnetic kagome metals, in which topologically non-trivial band structures and electronic correlation are intertwined, have recently emerged as an exciting platform to explore exotic correlated topological phases, that are usually not found…

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