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We construct a simple model for electrons in a three-dimensional crystal where a combination of short-range hopping and spin-orbit coupling results in nearly flat bands characterized by a non-trivial Z2 topological index. The flat band is…

Mesoscale and Nanoscale Physics · Physics 2012-01-27 C. Weeks , M. Franz

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…

Ge atoms segregating on zirconium diboride thin films grown on Ge(111) were found to crystallize into a two-dimensional bitriangular structure which was recently predicted to be a flat band material. Angle-resolved photoemission experiments…

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

The flat band system is an ideal quantum platform to investigate the kaleidoscope created by the electron-electron correlation effects. The central ingredient of realizing a flat band is to find its compact localized states. In this work,…

Strongly Correlated Electrons · Physics 2023-12-12 Yuge Chen , Juntao Huang , Kun Jiang , Jiangping Hu

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

Certain lattices with specific geometries have one or more spectral bands that are strictly flat, i.e. the electron energy is independent of the momentum. This can occur robustly irrespective of the specific couplings between the lattices…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 Md Nurul Huda , Shawulienu Kezilebieke , Peter Liljeroth

Two-dimensional atomic crystals can radically change their properties in response to external influences such as substrate orientation or strain, resulting in essentially new materials in terms of the electronic structure. A striking…

Topological flat bands, such as the band in twisted bilayer graphene, are becoming a promising platform to study topics such as correlation physics, superconductivity, and transport. In this work, we introduce a generic approach to…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Da-Shuai Ma , Yuanfeng Xu , Christie S. Chiu , Nicolas Regnault , Andrew A. Houck , Zhida Song , B. Andrei Bernevig

Flat bands with small energy dispersion can give rise to strongly correlated electronic and topological phases, especially when located at the Fermi level. Whilst flat bands have been experimentally realized in two-dimensional (2D) twisted…

We report the theoretical discovery of a large class of 2D tight-binding models containing nearly-flat bands with nonzero Chern numbers. In contrast with previous studies, where nonlocal hoppings are usually required, the Hamiltonians of…

Strongly Correlated Electrons · Physics 2011-06-07 Kai Sun , Zheng-Cheng Gu , Hosho Katsura , S. Das Sarma

Flat electronic bands, which amplify electron correlations by quenching kinetic energy, provide an ideal foundation for exotic quantum phases. However, prevailing strategies -- including geometrically frustrated lattices, moire…

Systems hosting flat bands offer a powerful platform for exploring strong correlation physics. Theoretically topological degeneracy rising in systems with non-trivial topological orders on periodic manifolds of non-zero genus can generate…

Superconductivity · Physics 2026-01-07 Yuge Chen , Hui Yu , Yun-Peng Huang , Zhen-Yu Zheng , Jiangping Hu

Interactions between stacked two-dimensional (2D) atomic crystals can radically change their properties, leading to essentially new materials in terms of the electronic structure. Here we show that monolayers placed on an atomically flat…

When the electronic dispersion in a material is independent of momentum, it gives rise to strongly correlated flat bands, with the single particle energy, quenched. Though the notion of flat bands had been known since long, their…

Strongly Correlated Electrons · Physics 2025-08-12 Madhuparna Karmakar

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…

Electrons with large kinetic energy have a superconducting instability for infinitesimal attractive interactions. Quenching the kinetic energy and creating a flat band renders an infinitesimal repulsive interaction the relevant…

Mesoscale and Nanoscale Physics · Physics 2021-07-26 Alexander Lau , Timo Hyart , Carmine Autieri , Anffany Chen , Dmitry I. Pikulin

The discovery of flat-bands in magic-angle twisted bilayer graphene has underscored the potential of moire engineering for correlated states, but such phases are notoriously difficult to realize and highly fragile against perturbations.…

Mesoscale and Nanoscale Physics · Physics 2025-10-14 Yalan Wei , Shifang Li , Yuke Song , Chaoyu He

Materials in which atoms are arranged in a pyrochlore lattice have found renewed interest, as, at least theoretically, orbitals on those lattices can form flat bands. However, real materials often do not behave according to theoretical…

Materials Science · Physics 2025-05-20 Fatmagül Katmer , Milena Jovanovic , Jennifer Cano , Lukas Muechler , Leslie M. Schoop

In a class of carbon-based materials called polymerized triptycene, which consist of triptycene molecules and phenyls, exotic electronic structures such as Dirac cones and flat bands arise from the kagome-type network. In this paper, we…

Mesoscale and Nanoscale Physics · Physics 2019-11-26 Tomonari Mizoguchi , Mina Maruyama , Susumu Okada , Yasuhiro Hatsugai
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