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Related papers: Robust flat bands in RCo5 (R=rare earth) compounds

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Topological flat band, on which the kinetic energy of topological electrons is quenched, represents a platform for investigating the topological properties of correlated systems. Recent experimental studies on flattened electronic bands…

Mesoscale and Nanoscale Physics · Physics 2024-05-28 Dong Xing , Bingbing Tong , Senyang Pan , Zezhi Wang , Jianlin Luo , Jinglei Zhang , Cheng-Long Zhang

Correlated kagome metals host unique electronic states that enable exotic quantum phenomena. In the recently emerged CsCr6Sb6, these manifest through Kondo behavior from localized Cr-3d electrons and unprecedented band flattening near the…

On the kagome lattice, electrons benefit from the simultaneous presence of band topology, flat electronic bands, and van Hove singularities, forming competing or cooperating orders. Understanding the interrelation between these distinct…

The excitonic insulator (EI) state is a strongly correlated many-body ground state, arising from an instability in the band structure towards exciton formation. We show that the flat valence and conduction bands of a semiconducting diatomic…

Materials Science · Physics 2021-05-19 Gurjyot Sethi , Yinong Zhou , Linghan Zhu , Li Yang , Feng Liu

In this work, we develop a systematic method of constructing flat-band models with and without band crossings. Our construction scheme utilizes the symmetry and spatial shape of a compact localized state (CLS) and also the singularity of…

Mesoscale and Nanoscale Physics · Physics 2021-08-26 Yoonseok Hwang , Jun-Won Rhim , Bohm-Jung Yang

CoSn is a prototypical kagome compound showing lattice-born flat bands with suppressed bandwidth over large parts of the Brillouin zone. Here, by means of time- and angle-resolved photoelectron spectroscopy, we provide direct evidence of…

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

Special arrangements of atoms with more than one atom per unit cell, including honeycomb or kagome (woven bamboo mat) lattices, can host propagating excitations with non-trivial topology as defined by their evolution along closed paths in…

Flat band physics is a central theme in modern condensed matter physics. By constructing a tight--binding single particle system that has vanishing momentum dispersion in one or more bands, and subsequently including more particles and…

Mathematical Physics · Physics 2025-04-29 Andrew Osborne , Ciro Salcedo , Andrew A. Houck

We study flat bands in bipartite tight-binding networks with discrete translational invariance. Chiral flat bands with chiral symmetry eigenenergy E = 0 and host compact localized eigenstates for finite range hopping. For a bipartite…

Mesoscale and Nanoscale Physics · Physics 2017-10-18 Ajith Ramachandran , Alexei Andreanov , Sergej Flach

We report the presence of exactly and nearly flat bands with non-trivial topology in three-dimensional (3D) lattice models. We first show that an exactly flat band can be realized in a 3D lattice model characterized by a 3D topological…

Mesoscale and Nanoscale Physics · Physics 2024-08-07 Ivan Dutta , Kush Saha

We construct a minimal four-band model for the two-dimensional (2D) topological insulators and quantum anomalous Hall insulators based on the $p_x$- and $p_y$-orbital bands in the honeycomb lattice. The multiorbital structure allows the…

Mesoscale and Nanoscale Physics · Physics 2014-08-12 Gu-Feng Zhang , Yi Li , Congjun Wu

1$T$-TaS$_2$ is the only insulating transition-metal dichalcogenide (TMD) with an odd number of electrons per unit cell. This insulating state is non-magnetic, making it a potential spin-liquid candidate. The unusual electronic behavior…

Strongly Correlated Electrons · Physics 2024-06-28 Amir Dalal , Jonathan Ruhman , Jörn W. F. Venderbos

We construct and characterize tight binding Hamiltonians which contain a completely flat topological band made of continuum lowest Landau level wavefunctions sampled on a lattice. We find an infinite family of such Hamiltonians, with simple…

Strongly Correlated Electrons · Physics 2020-01-27 Junkai Dong , Erich Mueller

The formation of flat electronic bands from long-wavelength superperiodic moir\'e potentials in van der Waals heterostructures underpins the creation and control of a host of highly-tuneable correlated and topological phases. The underlying…

Strongly Correlated Electrons · Physics 2025-11-11 B. K. Saika , S. Buchberger , S. Mo , A. Rajan , D. Halliday , Y. -C. Yao , L. C. Rhodes , B. Sarpi , T. Balasubramanian , C. Polley , P. Wahl , P. D. C. King

The graph-theoretic topological frustration is a peculiar situation on a finite piece of the honeycomb lattice that prevents a full pairwise coupling of the lattice sites via nearest neighbor links, even when the total number of sites is an…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Vasil A. Saroka

We introduce a systematic method for constructing a class of lattice structures that we call ``partial line graphs''.In tight-binding models on partial line graphs, energy bands with flat energy dispersions emerge.This method can be applied…

Strongly Correlated Electrons · Physics 2009-11-11 Shin Miyahara , Kenn Kubo , Hiroshi Ono , Yoshihiro Shimomura , Nobuo Furukawa

Flat bands can be divided into singular and non-singular ones according to the behavior of their Bloch wave function around band-crossing points in momentum space. We analyze the flat band in the Dice model, which can be tuned by a uniaxial…

Mesoscale and Nanoscale Physics · Physics 2024-04-11 Alexander Filusch , Holger Fehske

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

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