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Flat bands are of extreme interest in a broad spectrum of fields since given by their high degeneracy, a small perturbation introduced in the system is able to push the ground state in the direction of an ordered phase of interest. Hence…

Strongly Correlated Electrons · Physics 2022-02-15 Nóra Kucska , Zsolt Gulácsi

We propose models of twisted multilayer graphene that exhibit exactly flat Bloch bands with arbitrary Chern numbers and ideal band geometries. The models are constructed by twisting two sheets of Bernal-stacked multiple graphene layers with…

Mesoscale and Nanoscale Physics · Physics 2023-12-19 Jie Wang , Zhao Liu

We report the theoretical discovery of a systematic scheme to produce topological flat bands (TFBs) with arbitrary Chern numbers. We find that generically a multi-orbital high Chern number TFB model can be constructed by considering…

Strongly Correlated Electrons · Physics 2013-01-01 Shuo Yang , Zheng-Cheng Gu , Kai Sun , S. Das Sarma

We propose a powerful and convenient method to systematically design flat-band lattice models, which overcomes the difficulties underlying the previous method. Especially, our method requires no elaborate calculations, applies to arbitrary…

Quantum Gases · Physics 2020-11-11 Youjiang Xu , Han Pu

Two-dimensional Dirac materials with a flat band have been demonstrated to possess a plethora of unusual electronic properties, but the optical properties of these materials are less studied. Utilizing $\alpha$-$\mathcal{T}_3$ lattice as a…

Mesoscale and Nanoscale Physics · Physics 2022-04-20 Chen-Di Han , Ying-Cheng Lai

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

Loop arrangements and their quantum superpositions describe several interesting many-particle states. We propose that they also describe bonding in a class of transition metal dichalcogenides. We present an effective quantum loop model for…

Strongly Correlated Electrons · Physics 2025-05-06 Ashland Knowles , G. Baskaran , R. Ganesh

The band structure in phononic crystals (PCs) is usually affected by the deformations of their soft components. In this work, hyperelastic transformation media is proposed to be integrated in the PCs'design, to achieve stable elastic…

Materials Science · Physics 2016-10-14 Yan Liu , Zheng Chang , Xi-Qiao Feng

Chemically realistic quasi-one-dimensional (1D) materials in which Dirac fermions and highly degenerate flat bands coexist intrinsically at the Fermi level are exceedingly rare, while representing a highly desirable platform for correlated…

Materials Science · Physics 2026-03-19 Shivam Sharma , Chenhaoyue Wang , Hsuan Ming Yu , Amartya S. Banerjee

Multi-band touchings such as 3-band, 6-band and 8-band touchings together with the emergence of high pseudospin fermions were predicted recently at high-symmetry points in three-dimensional space. In this paper, we propose a simple cubic…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Motohiko Ezawa

Flat band systems in condensed matter physics are intriguing because they can exhibit exotic phases and unconventional properties. In this work, we studied three correlated magnetic systems, Na$_2$BaX(PO$_4$)$_2$ (X = Mn, Co, Ni), and…

Strongly Correlated Electrons · Physics 2023-08-17 Cong Hu , Xuefeng Zhang , Yunlong Su , Gang Li

We have calculated the photonic band structures of metallic inverse opals and of periodic linear chains of spherical pores in a metallic host, below a plasma frequency $\omega_{\text{p}}$. In both cases, we use a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2011-11-11 Kwangmoo Kim , D. Stroud

The possibility of engineering experimentally viable systems that realize gauge fluxes within plaquettes of hopping have been subject of search for decades due to vast amounts of theoretical study. This is of particular interest for…

Mesoscale and Nanoscale Physics · Physics 2019-12-04 Toshikaze Kariyado , Robert-Jan Slager

The transition between gapped (semiconducting) and gapless (metallic) phases and tunability of bandgap in materials is a very lucrative yet considerably challenging goal for new-age device preparation. For bulk materials and for…

Strongly Correlated Electrons · Physics 2022-02-08 Rudranil Basu , Swastibrata Bhattacharyya

We present the appearance of nearly flat band states with nonzero Chern numbers in a two-dimensional "diamond-octagon" lattice model comprising two kinds of elementary plaquette geometries, diamond and octagon, respectively. We show that…

Strongly Correlated Electrons · Physics 2018-12-17 Biplab Pal

The existence of a flat band near the Fermi level can be a suitable platform for the emergence of interesting phenomena in condensed matter physics. Recently, NbOCl2 monolayer has been experimentally synthesized [Nature 613 (2023) 53],…

Flat electronic bands are expected to show proportionally enhanced electron correlations, which may generate a plethora of novel quantum phases and unusual low-energy excitations. They are increasingly being pursued in $d$-electron-based…

Strongly Correlated Electrons · Physics 2024-06-21 Lei Chen , Fang Xie , Shouvik Sur , Haoyu Hu , Silke Paschen , Jennifer Cano , Qimiao Si

Topological phases based on tight-binding models have been extensively studied in recent decades. By mimicking the linear combination of atomic orbitals in tight-binding models based on the evanescent couplings between resonators in…

Mesoscale and Nanoscale Physics · Physics 2023-04-18 Jing Li , Hongfei Wang , Shiyin Jia , Peng Zhan , Minghui Lu , Zhenlin Wang , Yanfeng Chen , Bi-Ye Xie

Obstructed atomic phases, with their realizations in systems of diverse dimensionality, have recently arisen as one of the topological states with greatest potential to show higher-order phenomena. In this work we report a special type of…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 Olga Arroyo-Gascón , Sergio Bravo , Mónica Pacheco , Leonor Chico

Recent interest in point and line node semimetals has led to the proposal and discovery of these phenomena in numerous systems. Frequently, though, these nodal systems are described in terms of individual properties reliant on specific…

Mesoscale and Nanoscale Physics · Physics 2016-10-12 Benjamin J. Wieder , C. L. Kane