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Flat band moir\'e graphene systems have emerged as a quintessential platform to investigate correlated phases of matter. A plethora of interaction-driven ground states have been proposed, and yet despite extensive experimental effort, there…

Hybridization of highly itinerant Dirac electrons with localized flat-band states is predicted to yield emergent phenomena such as exotic heavy-fermion behaviour. Epitaxial graphene on two-dimensional adsorbate structures on SiC(0001),…

Flat bands are of extreme interest in a broad spectrum of fields since given by their high degeneracy, a small perturbation introduced in the system is able to push the ground state in the direction of an ordered phase of interest. Hence…

Strongly Correlated Electrons · Physics 2022-02-15 Nóra Kucska , Zsolt Gulácsi

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 energy spectra for the tight-binding models on the Lieb and kagom\'e lattices both exhibit a flat band. We present a model which continuously interpolates between these two limits. The flat band located in the middle of the three-band…

Mesoscale and Nanoscale Physics · Physics 2020-01-31 Lih-King Lim , Jean-Noël Fuchs , Frédéric Piéchon , Gilles Montambaux

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

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 report on a study of a one-dimensional linear photonic lattice hosting, simultaneously, fundamental and dipolar modes at every site. We show how, thanks to the interaction between the different orbital modes, this minimal model exhibits…

Optics · Physics 2020-08-12 Gabriel Caceres-Aravena , Luis E F Foa , Rodrigo A Vicencio

In flat-band systems, destructive interference leads to the localization of non-interacting particles and forbids their motion through the lattice. However, in the presence of interactions the overlap between neighbouring single-particle…

Quantum Gases · Physics 2020-08-21 G. Pelegrí , A. M. Marques , V. Ahufinger , J. Mompart , R. G. Dias

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

Two-dimensional Dirac materials with a flat band have been demonstrated to possess a plethora of unusual electronic properties, but the optical properties of these materials are less studied. Utilizing $\alpha$-$\mathcal{T}_3$ lattice as a…

Mesoscale and Nanoscale Physics · Physics 2022-04-20 Chen-Di Han , Ying-Cheng Lai

We present a systematic method of creating type-III Dirac cones from degenerate directionally flat bands. Here, the directionally flat band means a completely dispersionless band only in a certain direction. The key strategy is to retain…

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

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…

We suggest the tried approach of impurity band engineering to produce flat bands and additional nodes in Dirac materials. We show that surface impurities give rise to nearly flat impurity bands close to the Dirac point. The hybridization of…

Materials Science · Physics 2021-07-07 Anna Pertsova , Peter Johnson , Daniel P. Arovas , Alexander V. Balatsky

Motivated by the recent discovery of Mott insulating phase and unconventional superconductivity due to the flat bands in twisted bilayer graphene, we propose more generic ways of getting two-dimensional (2D) emergent flat band lattices…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 M. Tahir , Olivier Pinaud , Hua Chen

Flat bands play a central role in hosting emergent states of matter in many condensed matter systems, from the nascent insulating states of twisted bilayer graphene to the fractionalized excitations found in frustrated magnets and quantum…

Quantum Gases · Physics 2024-04-02 Tao Chen , Chenxi Huang , Ivan Velkovsky , Tomoki Ozawa , Hannah Price , Jacob P. Covey , Bryce Gadway

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

The manipulation and movement of Dirac points in the Brillouin zone by the electron-electron interaction is considered within leading order perturbation theory. At the merging point, an infinitesimal interaction is shown to cause opening of…

Strongly Correlated Electrons · Physics 2013-08-16 Balázs Dóra , Igor F. Herbut , Roderich Moessner

We consider a holographic theory as a Ginzberg-Landau theory working for strongly interacting system near the quantum critical point: we take the bulk matter field $\Phi^I(r,x)$, the dual of the fermion bilinear, as the order parameter. We…

High Energy Physics - Theory · Physics 2021-02-03 Eunseok Oh , Yunseok Seo , Taewon Yuk , Sang-Jin Sin

Flat bands and dispersive Dirac bands are known to coexist in the electronic bands in a two-dimensional kagome lattice. Including the relativistic spin-orbit coupling, such systems often exhibit nontrivial band topology, allowing for…

Strongly Correlated Electrons · Physics 2022-08-09 Satoshi Okamoto , Narayan Mohanta , Elbio Dagotto , D. N. Sheng