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So far the physics of moir\'e graphene bilayers at large, incommensurate rotation angles has been considered uninteresting. It has been held that the interlayer coupling in such structures is weak and the system can be thought of as a pair…

Mesoscale and Nanoscale Physics · Physics 2019-11-01 Hridis K. Pal , Stephen Spitz , Markus Kindermann

Flat-band in twisted graphene bilayer has garnered widespread attention, and whether flat-bands can be realized in carbon monolayer is an interesting topic worth exploring in condensed matter physics. In this work, we demonstrate that,…

Mesoscale and Nanoscale Physics · Physics 2024-10-18 Chaoyu He , Shifang Li , Yuwen Zhang , Zhentao Fu , Jin Li , Jianxin Zhong

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…

Flat energy bands of model lattice Hamiltonians provide a key ingredient in designing dispersionless wave excitations and have become a versatile platform to study various aspects of interacting many-body systems. Their essential merit lies…

Mesoscale and Nanoscale Physics · Physics 2021-07-15 C. V. Morfonios , M. Röntgen , M. Pyzh , P. Schmelcher

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

The kagome lattice has emerged as a promising platform for investigating exotic quantum phases. However, achieving a single-atomic-layer kagome lattice in elemental materials remains a significant challenge. Here, we introduce line-graph…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Qiwei Tian , Sahar Izadi Vishkayi , Chen Zhang , Jiang Zeng , Bo Li , Li Zhang , Long-Jing Yin , Yuan Tian , Meysam Bagheri Tagani , Lijie Zhang , Zhihui Qin

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

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

We have studied how a generic bilayer kagome lattice behave upon layer rotation. We employed a Tight Binding model with one orbital per site and found (i) for low rotational angles, and at low energies, the same flat bands structure like in…

Mesoscale and Nanoscale Physics · Physics 2019-10-28 F. Crasto de Lima , R. H. Miwa , E. Suárez Morell

Flat bands (FBs) in materials can enhance the correlation effects, resulting in exotic phenomena. Line graph (LG) lattices are well known for hosting FBs with isotropic hoppings in $s$-orbital models. Despite their prevalent application in…

Mesoscale and Nanoscale Physics · Physics 2026-03-24 Rui-Heng Liu , Xin Liu

Quantum interference on the kagome lattice generates electronic bands with narrow bandwidth, called flat bands. Crystal structures incorporating this lattice can host strong electron correlations with non-standard ingredients, but only if…

The kagome lattice has garnered significant attention due to its ability to host quantum spin Fermi liquid states. Recently, the combination of unique lattice geometry, electron-electron correlations, and adjustable magnetism in solid…

Strongly Correlated Electrons · Physics 2025-01-06 Man Li , Huan Ma , Rui Lou , Shancai Wang

Exotic phases of matter emerge from the interplay between strong electron interactions and non-trivial topology. Owing to their lack of dispersion at the single-particle level, systems harboring flat bands are excellent testbeds for…

Mesoscale and Nanoscale Physics · Physics 2022-01-24 Dumitru Călugăru , Aaron Chew , Luis Elcoro , Nicolas Regnault , Zhi-Da Song , B. Andrei Bernevig

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…

The understanding of strongly-correlated materials, and in particular unconventional superconductors, has puzzled physicists for decades. Such difficulties have stimulated new research paradigms, such as ultra-cold atom lattices for…

Mesoscale and Nanoscale Physics · Physics 2018-05-22 Yuan Cao , Valla Fatemi , Shiang Fang , Kenji Watanabe , Takashi Taniguchi , Efthimios Kaxiras , Pablo Jarillo-Herrero

Superconductivity is traditionally viewed as a low-temperature phenomenon. Within the BCS theory this is understood to result from the fact that the pairing of electrons takes place only close to the usually two-dimensional Fermi surface…

Materials Science · Physics 2017-11-22 Tero T. Heikkila , Grigori E. Volovik

The exploration of flatband in photonics is fundamentally important, aiming to control the localization of light for potential applications in optical communications. We study the flatband physics in a synthetic space including the…

Optics · Physics 2020-11-16 Danying Yu , Luqi Yuan , Xianfeng Chen

The superconducting metal-organic framework Cu-BHT forms a kagome lattice with metals at the vertices and ligands along the bonds. This bipartite motif is common in reticular materials. We show that a tight-binding model on this lattice…

Superconductivity · Physics 2024-12-19 M. F. Ohlrich , E. M. Makaresz , H. L. Nourse , B. J. Powell

Recently, several experiments have illustrated that metal surface electrons can be manipulated to form a two dimensional (2D) lattice by depositing a designer molecule lattice on metal surface. This offers a promising new technique to…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Wen-Xuan Qiu , Shuai Li , Jin-Hua Gao , Yi Zhou , Fu-Chun Zhang

Magic angle twisted bilayer graphene has emerged as a powerful platform for studying strongly correlated electron physics, owing to its almost dispersionless low-energy bands and the ability to tune the band filling by electrostatic gating.…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 Nikhil Tilak , Xinyuan Lai , Shuang Wu , Zhenyuan Zhang , Mingyu Xu , Raquel de Almeida Ribeiro , Paul C Canfield , Eva Y. Andrei