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Related papers: Flat bands without twists: periodic holey graphene

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A class of graphene wound into three-dimensional periodic curved surfaces ("graphitic zeolites") is proposed and their electronic structures are obtained to explore how the massless Dirac fermions behave on periodic surfaces. We find in the…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Mikito Koshino , Hideo Aoki

We illustrate the possibility of realizing band gaps in graphene-like systems that fall outside the existing classification of gapped Dirac Hamiltonians in terms of masses. As our primary example we consider a band gap arising due to…

Mesoscale and Nanoscale Physics · Physics 2014-03-31 Thomas Iadecola , Titus Neupert , Claudio Chamon

Helical twisted trilayer graphene exhibits zero-energy flat bands with large degeneracy in the chiral limit. The flat bands emerge at a discrete set of magic twist angles and feature properties intrinsically distinct from those realized in…

Mesoscale and Nanoscale Physics · Physics 2023-08-08 Daniele Guerci , Yuncheng Mao , Christophe Mora

Graphene, a honeycomb lattice of carbon atoms ruled by tight-binding interaction, exhibits extraordinary electronic properties due to the presence of Dirac cones within its band structure. These intriguing singularities have naturally…

Classical Physics · Physics 2018-09-28 S. Yves , F. Lemoult , M. Fink , G. Lerosey

We study the emergence of electronic non-trivial topological flat bands in time-periodically driven strained graphene within a tight binding approach based on the Floquet formalism. In particular, we focus on uniaxial spatially periodic…

Mesoscale and Nanoscale Physics · Physics 2017-04-03 Pedro Roman-Taboada , Gerardo G. Naumis

We study the effects of heterostrain on moir\'e bands in twisted bilayer graphene and bilayer transition metal dichalcogenide (TMD) systems. For bilayer graphene with twist angle near $1^\circ$, we show that heterostrain significantly…

Materials Science · Physics 2019-08-07 Zhen Bi , Noah F. Q. Yuan , Liang Fu

High mobility single and few-layer graphene sheets are in many ways attractive as nanoelectronic circuit hosts but lack energy gaps, which are essential to the operation of field-effect transistors. One of the methods used to create gaps in…

Mesoscale and Nanoscale Physics · Physics 2018-12-26 Hakseong Kim , Nicolas Leconte , Bheema L. Chittari , Kenji Watanabe , Takashi Taniguchi , Allan H. MacDonald , Jeil Jung , Suyong Jung

This paper presents a theory of interaction-induced band-flattening in strongly correlated electron systems. We begin by illustrating an inherent connection between flat bands and index theorems, and presenting a generic prescription for…

Strongly Correlated Electrons · Physics 2024-10-18 Alireza Parhizkar , Victor Galitski

Theoretical progress in graphene physics has largely relied on the application of a simple nearest-neighbor tight-binding model capable of predicting many of the electronic properties of this material. However, important features that…

Mesoscale and Nanoscale Physics · Physics 2019-04-03 Z. M. Abd El-Fattah , M. A. Kher-Elden , I. Piquero-Zulaica , F. J. Garcia de Abajo , J. E. Ortega

Transport experiments in twisted bilayer graphene revealed multiple superconducting domes separated by correlated insulating states. These properties are generally associated with strongly correlated states in a flat mini-band of the…

We study the effect of twisting on bilayer graphene. The effect of lattice relaxation is included; we look at the electronic structure, piezo-electric charges and spontaneous polarisation. We show that the electronic structure without…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Niels R. Walet , Francisco Guinea

Starting with twisted bilayer graphene, graphene-based moir\'e materials have recently been established as a new platform for studying strong electron correlations. In this paper, we study twisted graphene monolayers on trilayer graphene…

Flat bands are of significant interest due to their potential for energy confinement and their ability to enable strongly correlated physics. Incorporating topology into flatband systems further enhances flatband mode robustness against…

Optics · Physics 2025-04-01 Yongsheng Liang , Jingyan Zhan , Shiqi Xia , Daohong Song , Zhigang Chen

Dirac materials, starting with graphene, have drawn tremendous research interest in the past decade. Instead of focusing on the $p_z$ orbital as in graphene, we move a step further and study orbital-active Dirac materials, where the orbital…

Strongly Correlated Electrons · Physics 2023-01-16 Shenglong Xu , Congjun Wu

In recent years, flat electronic bands in twisted bilayer graphene (TBG) have attracted significant attention due to their intriguing topological properties, extremely slow electron velocities, and enhanced density of states. Extending…

Quantum Gases · Physics 2025-06-16 Wenjie Sui , Wei Han , Zheng Vitto Han , Zengming Meng , Jing Zhang

Flat bands form in a 3D Hopf-linked graphene crystal or a 3D carbon allotrope named Hopfene, which qualitatively differ from bands of only graphenes. This paper discusses carbon-hexagon deformation on the level shift of a flat band via…

Materials Science · Physics 2020-01-29 Isao Tomita , Shinichi Saito

Magic-angle twisted bilayer graphene (TBG) with its flat bands provides a rich platform for exploring emergent electronic orders. Similarly, periodically buckled monolayer graphene has been proposed as a tunable alternative for realizing…

Mesoscale and Nanoscale Physics · Physics 2025-10-16 Jannes van Poppelen , Annica M. Black-Schaffer

Dispersionless energy bands are a peculiar property gathering increasing attention for the emergence of novel photonic, magnetic and electronic properties. Here we report the first observation of a graphene superstructure n-doped up to the…

Mesoscale and Nanoscale Physics · Physics 2022-08-25 A. Zaarour , V. Malesys , J. Teyssandier , M. Cranney , E. Denys , J. L. Bubendorff , A. Florentin , L. Josien , F. Vonau , D. Aubel , A. Ouerghi , C. Bena , L. Simon

The electronic properties of hydrogenated graphenes are investigated with the first-principles calculations. Geometric structures, energy bands, charge distributions, and density of states (DOS) strongly depend on the different…

Materials Science · Physics 2015-10-09 Hao-Chun Huang , Shih-Yang Lin , Chung-Lin Wu , Ming-Fa Lin

Interactions between stacked two-dimensional (2D) atomic crystals can radically change their properties, leading to essentially new materials in terms of the electronic structure. Here we show that monolayers placed on an atomically flat…