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We study the influence of spatial symmetries on the appearance and the number of exact flat bands (FBs) in single and bilayer systems with Dirac or quadratic band crossing points, and systematically classify all possible number of exact…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Siddhartha Sarkar , Xiaohan Wan , Shi-Zeng Lin , Kai Sun

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

The strain fields of periodically buckled graphene induce a periodic pseudo-magnetic field (PMF) that modifies the electronic band structure. From the geometry, amplitude, and period of the periodic pseudo-magnetic field, we determine the…

Mesoscale and Nanoscale Physics · Physics 2020-12-29 S. P. Milovanović , M. Anđelković , L. Covaci , F. M. Peeters

We experimentally demonstrate the photonic realization of a dispersionless flat-band in a quasi-one-dimensional photonic lattice fabricated by ultrafast laser inscription. In the nearest neighbor tight binding approximation, the lattice…

Optics · Physics 2015-11-17 Sebabrata Mukherjee , Robert R. Thomson

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

The difference between boson and fermion dynamics in quasi-one-dimensional lattices is studied with exact simulations of particle motion and by calculating the persistent current in small quantum rings. We consider three different lattices…

Quantum Gases · Physics 2013-03-14 M. Hyrkäs , V. Apaja , M. Manninen

Flat band networks are characterized by coexistence of dispersive and flat bands. Flat bands (FB) are generated by compact localized eigenstates (CLS) with local network symmetries, based on destructive interference. Correlated disorder and…

Disordered Systems and Neural Networks · Physics 2014-12-11 Joshua D. Bodyfelt , Daniel Leykam , Carlo Danieli , Xiaoquan Yu , Sergej Flach

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

We demonstrate the emergence of an entire flat band embedded in dispersive bands at the exceptional point of a PT symmetric photonic lattice. For this to occur, the gain and loss parameter effectively alters the size of the partial flat…

Optics · Physics 2017-07-12 Hamidreza Ramezani

Flat bands form in a 3D Hopf-linked graphene crystal or a 3D carbon allotrope named Hopfene, which qualitatively differ from bands of only graphenes. This paper discusses carbon-hexagon deformation on the level shift of a flat band via…

Materials Science · Physics 2020-01-29 Isao Tomita , Shinichi Saito

Flat-band physics has attracted much attention in recently years because of its interesting properties and important applications. Some typical lattices have been proposed to generate flat bands, such as Kagome and Lieb lattices. The flat…

Materials Science · Physics 2021-08-17 Siwen Li , Yuee Xie , Yuanping Chen

Narrow band electron systems are particularly likely to exhibit correlated many-body phases driven by interaction effects. Examples include magnetic materials, heavy fermion systems, and topological phases such as fractional quantum Hall…

Strongly Correlated Electrons · Physics 2016-07-19 Ching Hua Lee , Daniel P. Arovas , Ronny Thomale

We derive the spectral form factor of a flat band superconductor in two different ways. In the first approach, we diagonalize the Hamiltonian of this system exactly and numerically sum over the exact eigenstates to find the spectral form…

Superconductivity · Physics 2025-04-08 Sankalp Gaur , Emil A. Yuzbashyan , Victor Gurarie

Flat-band periodic materials are characterized by a linear spectrum containing at least one band where the propagation constant remains nearly constant irrespective of the Bloch momentum across the Brillouin zone. These materials provide a…

Pattern Formation and Solitons · Physics 2024-09-24 Shuang Shen , Yiqi Zhang , Yaroslav V. Kartashov , Yongdong Li , Vladimir V. Konotop

We study localization and flat-band formation in lattices generated by repeated edge inflation of square, honeycomb, and triangular parent lattices. Replacing each bond by a finite tight-binding chain produces several distinct classes of…

Disordered Systems and Neural Networks · Physics 2026-04-15 Richard Berkovits

Electronic flat bands can lead to rich many-body quantum phases by quenching the electron's kinetic energy and enhancing many-body correlation. The reduced bandwidth can be realized by either destructive quantum interference in frustrated…

A new method for calculation of band structure has been proposed based on the Green's function theory and local sampling. Potential energy in the Hamiltonian of Schrodinger's equation is approximated with a series of sampled Dirac delta…

Mesoscale and Nanoscale Physics · Physics 2010-02-24 Milad Khoshnegar , Sina Khorasani , Amirhossein Hosseinnia

Materials with flat bands can serve as a promising platform to investigate strongly interacting phenomena. However, experimental realization of ideal flat bands is mostly limited to artificial lattices or moir\'e systems. Here we report a…

On the basis of the "molecular-orbital" representation which describes generic flat-band models, we propose a systematic way to construct a class of flat-band models with finite-range hoppings that have topological natures. In these models,…

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

We propose the use of networks of standard, commercially-available coaxial cables as a platform to realize photonic lattice models. As a specific example, we consider a brick wall lattice formed from coaxial cables and T-shaped connectors.…

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