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A bipartite lattice with chiral symmetry is known to host zero energy flat bands if the numbers of the two sublattices are different. We demonstrate that this mechanism of producing flat bands can be realized on graphene by introducing…

介观与纳米尺度物理 · 物理学 2022-02-02 Matheus S. M. de Sousa , Fujun Liu , Fanyao Qu , Wei Chen

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…

强关联电子 · 物理学 2009-11-11 Shin Miyahara , Kenn Kubo , Hiroshi Ono , Yoshihiro Shimomura , Nobuo Furukawa

Motivated by the observation of polarization superlattices in twisted multilayers of hexagonal boron nitride ($h$-BN), we address the possibility of using these heterostructures for tailoring the properties of multilayer graphene by means…

介观与纳米尺度物理 · 物理学 2023-05-29 Marta Brzezińska , Oleg V. Yazyev

Recent discovery of correlated electronic phases in twisted heterostructures raised a surge of interests in studying models and materials with flat bands where the electronic excitations are nearly dispersionless in momentum space. As such,…

强关联电子 · 物理学 2024-03-15 Leyla Majidi , Abolhassan Vaezi , Mehdi Kargarian

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…

介观与纳米尺度物理 · 物理学 2026-05-05 R. Weht , A. A. Aligia , M. Nunez-Regueiro

We study flat bands and their topology in 2D materials with quadratic band crossing points (QBCPs) under periodic strain. In contrast to Dirac points in graphene, where strain acts as a vector potential, strain for QBCPs serves as a…

介观与纳米尺度物理 · 物理学 2023-05-30 Xiaohan Wan , Siddhartha Sarkar , Shi-Zeng Lin , Kai Sun

The nature of the insulating and superconducting states in twisted bilayer graphene systems is intensely debated. While many works seek for explanations in the few flat bands near the Fermi level, theory and a number of experiments suggest…

强关联电子 · 物理学 2019-11-06 Lennart Klebl , Carsten Honerkamp

Two-dimensional (2D) bilayers, twisted to particular angles to display electronic flat bands, are being extensively explored for physics of strongly correlated 2D systems. However, the similar rich physics of one-dimensional (1D) strongly…

材料科学 · 物理学 2022-06-06 Sunny Gupta , Henry Yu , Boris I. Yakobson

Topological flat bands, such as the band in twisted bilayer graphene, are becoming a promising platform to study topics such as correlation physics, superconductivity, and transport. In this work, we introduce a generic approach to…

介观与纳米尺度物理 · 物理学 2021-01-04 Da-Shuai Ma , Yuanfeng Xu , Christie S. Chiu , Nicolas Regnault , Andrew A. Houck , Zhida Song , B. Andrei Bernevig

The discovery of superconductivity in twisted bilayer and twisted trilayer graphene has generated tremendous interest. The key feature of these systems is an interplay between interlayer coupling and a moir\'e superlattice that gives rise…

The discovery of flat-bands in magic-angle twisted bilayer graphene has underscored the potential of moire engineering for correlated states, but such phases are notoriously difficult to realize and highly fragile against perturbations.…

介观与纳米尺度物理 · 物理学 2025-10-14 Yalan Wei , Shifang Li , Yuke Song , Chaoyu He

Flat bands have attracted considerable interest in condensed matter physics because they provide a fertile platform for realizing strongly correlated and topological quantum phases. To date, however, most studies have focused on flat bands…

超导电性 · 物理学 2026-03-31 Keiji Yada , Yuri Fukaya , Yukio Tanaka

Topology and electron interactions are two central themes in modern condensed matter physics. Here we propose graphene based systems where both the band topology and interaction effects can be simply controlled with electric fields. We…

强关联电子 · 物理学 2019-02-20 Ya-Hui Zhang , Dan Mao , Yuan Cao , Pablo Jarillo-Herrero , T. Senthil

Though several theoretical models have been proposed to design electronic flat-bands, the definite experimental realization in two-dimensional atomic crystal is still lacking. Here we propose a novel and realistic flat-band model based on…

材料科学 · 物理学 2021-02-04 Jiang Zeng , Ming Lu , Haiwen Liu , Hua Jiang , X. C. Xie

Graphene based nanostructures exhibit flat electronic energy bands in their single-particle spectrum. We consider interacting electrons in flat bands of zig-zag nanoribbons. We present a protocol for flat-band projection that yields…

强关联电子 · 物理学 2012-03-02 Hao Wang , V. W. Scarola

Flat bands - single-particle energy bands - in tight-binding networks have attracted attention due to the presence of macroscopic degeneracies and their extreme sensitivity to perturbations. This makes them natural candidates for emerging…

光学 · 物理学 2024-03-27 Carlo Danieli , Alexei Andreanov , Daniel Leykam , Sergej Flach

Rhombohedral graphene multilayers host various broken-symmetry metallic phases as well as superconductors whose pairing mechanism and order parameter symmetry remain unsettled. Strikingly, experiments have revealed prominent new…

超导电性 · 物理学 2025-07-08 Zhiyu Dong , Étienne Lantagne-Hurtubise , Jason Alicea

Motivated by the recent theoretical studies on a two-dimensional (2D) chiral Hamiltonian based on the Su-Schrieffer-Heeger chains, we experimentally and computationally demonstrate that topological flat frequency bands can occur at open…

介观与纳米尺度物理 · 物理学 2020-11-25 Kai Qian , Linghua Zhu , Keun Hyuk Ahn , Camelia Prodan

Enhancing superconductivity through material design is a central goal in quantum materials research. Moire engineering, where twisting stacked layers creates long-wavelength modulations and flat bands, has shown how electronic correlations…

超导电性 · 物理学 2025-11-18 T. Bauch , F. Lombardi , G. Seibold

Two-dimensional systems with flat bands support correlated phases such as superconductivity and charge fractionalization. While twisted moire systems like twisted bilayer graphene have revealed such states, they remain complex to control.…

介观与纳米尺度物理 · 物理学 2025-07-02 Elias Andrade , Alejandro Jimeno-Pozo , Pierre A. Pantaleon , Francisco Guinea , Gerardo G. Naumis