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Correlated electron systems with topological flat bands show great promise in exploring exotic quantum phenomena. However, such crystalline materials remain rare. Here we report the discovery of a novel material, Cs$_3$V$_9$Te$_{13}$, which…

Strongly Correlated Electrons · Physics 2026-03-31 Chang-Chao Liu , Ji-Yong Liu , Jing Li , Hua-Xun Li , Jia-Yi Lu , Tong Shi , Qing-Xin Dong , Gen Li , Bo-Sen Wang , Yi Liu , Jin-Guang Cheng , Guang-Han Cao

The Fermi surface is an abstract object in the reciprocal space of a crystal lattice, enclosing the set of all those electronic band states that are filled according to the Pauli principle. Its topology is dictated by the underlying lattice…

Strongly Correlated Electrons · Physics 2016-07-20 Mukunda P. Das , Frederick Green

This paper is devoted to topological phenomena in normal metals with rather complicated Fermi surface. The results of the article are based on the deep topological theorems concerning the geometry of non-compact plane sections of level…

Condensed Matter · Physics 2009-10-30 S. P. Novikov , A. Ya. Maltsev

The Dirac bands and flat bands are difficult to coexist because they represent two extreme ends of electronic properties. However, in this paper, we propose a carbon-Kagome-lattice (CKL) family based on first-principles calculations, and…

Materials Science · Physics 2016-01-07 Chengyong Zhong , Yuee Xie , Yuanping Chen , Shengbai Zhang

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

Motivated by the indications of high-Tc superconductivity in natural graphite enriched in the rhombohedral phase, we study the band structure of several stacking configurations that combine two of the three graphite structures as well as…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 R. Weht , A. A. Aligia , M. Nunez-Regueiro

There is a recent upsurge of interests in flat bands in condensed-matter systems and the consequences for magnetism and superconductivity. This article highlights the physics, where peculiar quantum-mechanical mechanisms for the physical…

Superconductivity · Physics 2025-10-23 Hideo Aoki

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

Kagome metals offer a unique platform for investigating robust electron-correlation effects because of their lattice geometry, flat bands and multi-orbital nature. In the cases with active flat bands, recent theoretical studies have pointed…

Strongly Correlated Electrons · Physics 2025-06-18 Fang Xie , Yuan Fang , Ying Li , Yuefei Huang , Lei Chen , Chandan Setty , Shouvik Sur , Boris Yakobson , Roser Valentí , Qimiao Si

To explore whether a flat-band system can accommodate superconductivity, we consider repulsively interacting fermions on the diamond chain, a simplest quasi-one-dimensional system that contains a flat band. Exact diagonalization and the…

Superconductivity · Physics 2017-01-03 Keita Kobayashi , Masahiko Okumura , Susumu Yamada , Masahiko Machida , Hideo Aoki

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

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

Since the discovery of the pseudogap and Fermi arc states in underdoped cuprates, the understanding of such non-Fermi-liquid states and the associated violation of Luttinger's theorem have been the central theme in correlated electron…

Strongly Correlated Electrons · Physics 2021-04-30 Chuang Chen , Tian Yuan , Yang Qi , Zi Yang Meng

Chiral symmetry in energy bands appears as perfectly symmetric anti-bonding and bonding pairs of energy levels. It has only been observed in a few classes of models with a bipartite lattice structure or Bogoliubov-de-Gennes systems having…

Strongly Correlated Electrons · Physics 2023-08-24 Hiroki Nakai , Masataka Kawano , Chisa Hotta

Topological flat bands play an essential role in inducing exotic interacting physics, ranging from fractional Chern insulators to superconductivity, in moir\'e materials. In this work, we propose a design principle for realizing topological…

Mesoscale and Nanoscale Physics · Physics 2026-02-03 Yunzhe Liu , Anoj Aryal , Kaijie Yang , Dumitru Calugaru , Zhenyao Fang , Haoyu Hu , Qimin Yan , B. Andrei Bernevig , Chao-xing Liu

The existence of flat bands is generally thought to be physically possible only for dimensions larger than one. However, by exciting a system with different orthogonal states this condition can be reformulated. In this work, we demonstrate…

Optics · Physics 2019-07-10 Gabriel Cáceres-Aravena , Rodrigo A. Vicencio

Motivated from the flat-band ferromagnetism conceived theoretically for a single chain of five membered rings (polyaminotriazole) by Arita {\it et al.}, [Phys. Rev. Lett. {\bf 88}, 127202 (2002)], we have studied whether the magnetism can…

Strongly Correlated Electrons · Physics 2007-05-23 Ryotaro Arita , Yuji Suwa , Kazuhiko Kuroki , Hideo Aoki

In this note, we calculate the electronic properties of a realistic atomistic model of amorphous graphene. The model contains odd membered rings, particularly five and seven membered rings and no coordination defects. We show that…

Strongly Correlated Electrons · Physics 2009-12-04 V. Kapko , D. A. Drabold , M. F. Thorpe

We propose an effective lattice model for the moir\'e structure of the twisted bilayer dice lattice. In the chiral limit, we find that there are flat bands at the zero-energy level at any twist angle besides the magic ones and these flat…

Mesoscale and Nanoscale Physics · Physics 2024-04-25 Di Ma , Yu-Ge Chen , Yue Yu , Xi Luo

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