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We demonstrate that a complete class of flat-band lattices with underlying commutative local symmetries exhibit a locally fragmented Hilbert space. The equitable partition theorem ensures distinct parities for the compact localized states…

Statistical Mechanics · Physics 2025-04-11 Eloi Nicolau , Anselmo M. Marques , Ricardo G. Dias , Verònica Ahufinger

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

Tuning the values of artificial flux in the two-dimensional octagonal-diamond lattice drives topological phase transitions, including between singular and non-singular flatbands. We study the dynamical properties of nonlinear compact…

Dispersionless (flat) electronic bands are investigated regarding their conductance properties. Due to "caging" of carriers these bands are usually insulating at partial filling, at least on the non-interacting level. Considering the…

Strongly Correlated Electrons · Physics 2015-01-14 Wolfgang Häusler

The study of dissipative systems has attracted great attention, as dissipation engineering has become an important candidate towards manipulating light in classical and quantum ways. Here,we investigate the behavior of a topological system…

Optics · Physics 2024-01-22 Zhaohui Dong , Xianfeng Chen , Avik Dutt , Luqi Yuan

Motivated by recent advances in the realization of complex two-dimensional optical lattices, we investigate theoretically the quantum transport of ultracold fermions in an optical kagome lattice. In particular, we focus on its extensively…

Quantum Gases · Physics 2014-07-25 Gia-Wei Chern , Chih-Chun Chien , Massimiliano Di Ventra

We calculate the dynamic polarizability under the random phase approximation for the dice lattice. This two-dimensional system gives rise to massless Dirac fermions with pseudospin-1 in the low-energy quantum excitation spectrum, providing…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 John D. Malcolm , Elisabeth J. Nicol

We investigate superconducting transport in the DC field induced Wannier-Stark flat bands in the presence of interactions. Flat bands offer the possibility of unconventional high temperature superconductivity, where the superfluid weight,…

Superconductivity · Physics 2024-02-28 Si Min Chan , Alexei Andreanov , Sergej Flach , G. George Batrouni

Tuning interactions between Dirac states in graphene has attracted enormous interest because it can modify the electronic spectrum of the two-dimensional material, enhance electron correlations, and give rise to novel condensed-matter…

The subject of the present paper is a thorough numerical investigation of plasmon expectations, their dispersions and damping within a Lieb lattice. The Lieb lattice is known for its unique low-energy band structure which consists of a…

Materials Science · Physics 2026-03-04 Andrii Iurov , Liubov Zhemchuzhna , Godfrey Gumbs , Danhong Huang

Superlattice potential modulation can produce flat minibands in Bernal-stacked bilayer graphene. In this work we study how band topology and interaction-induced symmetry-broken phases in this system are controlled by tuning the displacement…

Mesoscale and Nanoscale Physics · Physics 2024-07-04 Yongxin Zeng , Tobias M. R. Wolf , Chunli Huang , Nemin Wei , Sayed Ali Akbar Ghorashi , Allan H. MacDonald , Jennifer Cano

The presence of flat bands is a source of localization in lattice systems. While flat bands are often unstable with respect to interactions between the particles, they can persist in certain cases. We consider a diamond ladder with…

Statistical Mechanics · Physics 2023-07-19 Mirko Daumann , Robin Steinigeweg , Thomas Dahm

We consider a one-dimensional directional array of diffusively coupled oscillators. They are perturbed by the injection of a small additive noise, typically orders of magnitude smaller than the oscillation amplitude, and the system is…

Disordered Systems and Neural Networks · Physics 2019-01-09 Clement Zankoc , Duccio Fanelli , Francesco Ginelli , Roberto Livi

Sufficiently strong inter-site interactions in extended-Hubbard and XXZ spin models result in dynamically-bound clusters at neighboring sites. We show that the dynamics of these clusters in two-dimensional lattices is remarkably different…

Quantum Gases · Physics 2021-04-28 Wei-Han Li , Arya Dhar , Xiaolong Deng , Luis Santos

We construct an electrical all-bands-flat (ABF) lattice and experimentally generate compact localized states (CLSs) therein. The lattice is a diamond (rhombic) chain and implemented as a network of capacitors and inductors, as well as…

Mesoscale and Nanoscale Physics · Physics 2025-09-03 Noah Lape , Simon Diubenkov , L. Q. English , P. G. Kevrekidis , Alexei Andreanov , Yeongjun Kim , Sergej Flach

One novel arena for designing superconductors with high $T_C$ is the flat-band systems. A basic idea is that flat bands, arising from quantum mechanical interference, give unique opportunities for enhancing $T_C$ with (i) many…

Superconductivity · Physics 2020-08-03 Hideo Aoki

Local configurational symmetry in lattice structures may give rise to stationary, compact solutions, even in the absence of disorder and nonlinearity. These compact solutions are related to the existence of flat dispersion curves (bands).…

Pattern Formation and Solitons · Physics 2017-11-22 Nathan Perchikov , O. V. Gendelman

We investigate multi-"photon" interband excitation processes in an optical lattice that is driven periodically in time by a modulation of the lattice depth. Assuming the system to be prepared in the lowest band, we compute the excitation…

Quantum Gases · Physics 2016-09-16 Christoph Sträter , André Eckardt

Collective plasma excitations in moir\'e flat bands display unique properties reflecting strong electron-electron interactions and unusual carrier dynamics in these systems. Unlike the conventional two-dimensional plasmon modes, dispersing…

Mesoscale and Nanoscale Physics · Physics 2020-11-06 Ali Fahimniya , Cyprian Lewandowski , Leonid Levitov

Photonic lattices facilitate band structure engineering, supporting both localized and extended modes through their geometric design. However, greater control over these modes can be achieved by taking advantage of the interference effect…

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