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Multilayer graphene systems with a rhombohedral stacking order harbor nearly flat bands in their single-particle spectrum. We propose ansatz states to describe the surface-localized states of flat band electrons. The absence of kinetic…

Strongly Correlated Electrons · Physics 2013-04-10 Hao Wang , Jin-Hua Gao , Fu-Chun Zhang

We propose an exact analytical decimation transformation scheme to explore the fascinating coexistence of flat bands and Dirac fermions in three-dimensional coupled kagome systems. Our method allows coarse-graining of the parameter space…

Materials Science · Physics 2023-11-08 Anumita Bose , Arka Bandyopadhyay , Awadhesh Narayan

Embedding materials in optical cavities has emerged as a strategy for tuning material properties. Accurate simulations of electrons in materials interacting with quantum photon fluctuations of a cavity are crucial for understanding and…

Materials Science · Physics 2025-10-28 Hang Liu , Francesco Troisi , Hannes Hübener , Simone Latini , Angel Rubio

We study characteristic band structures of the fermions on a square kagome lattice, one of the two-dimensional lattices hosting a corner-sharing network of triangles. We show that the band structures of the nearest-neighbor tight-binding…

Mesoscale and Nanoscale Physics · Physics 2021-08-05 Tomonari Mizoguchi , Yoshihito Kuno , Yasuhiro Hatsugai

Flat electronic bands, characteristic of magic-angle twisted bilayer graphene (TBG), host a wealth of correlated phenomena. Early theoretical considerations suggested that, at the magic angle, the Dirac velocity vanishes and the entire…

Arrays of coupled superconducting qubits are analog quantum simulators able to emulate a wide range of tight-binding models in parameter regimes that are difficult to access or adjust in natural materials. In this work, we use a…

Flat bands, characterized by zero group velocity and strong energy localization, enable interaction-enhanced phenomena across both quantum and classical systems. Existing photonic flat-band implementations were limited to evanescent-wave…

Optics · Physics 2025-09-17 Han-Rong Xia , Ziyao Wang , Yunrui Wang , Zhen Gao , Meng Xiao

In recent years, there has been a growing interest in flatband systems which exhibit macroscopic degeneracies. These systems offer a valuable mathematical framework for the extreme sensitivity to perturbations and interactions. This…

Disordered Systems and Neural Networks · Physics 2024-01-19 Sanghoon Lee

Flatbands play an important role in correlated quantum matter and have novel applications in photonic lattices. Synthetic magnetic fields and destructive interference in lattices are traditionally used to obtain flatbands. However, such…

We explore the hyperbolic band theory under a magnetic field for the first time. Our theory is a general extension of the conventional band theory defined on a Euclidean lattice into the band theory on a general hyperbolic lattice/Riemann…

Mesoscale and Nanoscale Physics · Physics 2024-02-28 Kazuki Ikeda , Shoto Aoki , Yoshiyuki Matsuki

We develop a microscopic theory for plasmon excitations of graphene/${\alpha}$-RuCl${_3}$ heterostructures. Within a Kondo-Kitaev model with various interactions, a heavy Fermi liquid hosting flat bands emerges in which the itinerant…

Strongly Correlated Electrons · Physics 2021-07-29 Hui-Ke Jin , J. Knolle

Electronic flat bands in momentum space, arising from strong localization of electrons in real space, are an ideal stage to realize strong correlation phenomena. In certain lattices with built-in geometrical frustration, electronic…

Lateral superlattices have attracted major interest as this may allow one to modify spectra of two dimensional electron systems and, ultimately, create materials with tailored electronic properties. Previously, it proved difficult to…

Disorder in moire superlattices simultaneously degrades flat-band localization and induces Anderson localization, yet how these two regimes interact has remained unclear. Here, we introduce a combined framework linking localization-length…

Disordered Systems and Neural Networks · Physics 2026-04-23 Qian Liu , Xiaoshuang Xia , Junjie Wang , Peilong Hong , Lei Xu , Lujun Huang , Daohong Song , Yi Liang

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 discover a new wave localization mechanism in a periodic system without any disorder, which can produce a novel type of perfect flat band and is distinct from the known localization mechanisms, i.e., Anderson localization and flat band…

Mesoscale and Nanoscale Physics · Physics 2019-02-18 Zhen Ma , Wei-Jin Chen , Yuntian Chen , Jin-Hua Gao , X. C. Xie

Graphene-based multilayer systems serve as versatile platforms for exploring the interplay between electron correlation and topology, thanks to distinctive low-energy bands marked by significant quantum metric and Berry curvature from…

Strongly Correlated Electrons · Physics 2026-01-30 Niklas Witt , Siheon Ryee , Lennart Klebl , Jennifer Cano , Giorgio Sangiovanni , Tim O. Wehling

We employed first-principles density-functional theory (DFT) calculations to characterize Dirac electrons in quasi-two-dimensional molecular conductor $\alpha$-(BETS)$_2$I$_3$ [= $\alpha$-(BEDT-TSeF)$_2$I$_3$] at a low temperature of 30K.…

Strongly Correlated Electrons · Physics 2021-01-18 Takao Tsumuraya , Yoshikazu Suzumura

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

We develop a theory for manipulating the effective band structure of interacting helical edge states realized on the boundary of two-dimensional time-reversal symmetric topological insulators. For sufficiently strong interaction, an…

Strongly Correlated Electrons · Physics 2021-11-24 Yang-Zhi Chou , Jennifer Cano , J. H. Pixley