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The discoveries of numerous exciting phenomena in twisted bilayer graphene (TBG) are stimulating significant investigations on moir\'e structures that possess a tunable moir\'e potential. Optical response can provide insights into the…

We perform an extensive exact diagonalization study of interaction driven insulators in spin- and valley-polarized moir\'{e} flat bands of twisted bilayer graphene aligned with its hexagonal boron nitride substrate. In addition to…

Strongly Correlated Electrons · Physics 2021-03-05 Patrick Wilhelm , Thomas C. Lang , Andreas M. Läuchli

We investigate theoretically the interplay between the effects of a perpendicular electric field and incommensurability at the interface on the electronic properties of a heterostructure of bilayer graphene and a semiconducting substrate…

Mesoscale and Nanoscale Physics · Physics 2016-11-02 D. J. Leech , M. Mucha-Kruczyński

Twisted bilayer graphene (TBG) develops large moir\'e patterns at small twist angles with flat energy bands hosting domes of superconductivity. The large system size and intricate band structure have however hampered investigations into the…

Superconductivity · Physics 2022-07-19 Tomas Löthman , Johann Schmidt , Fariborz Parhizgar , Annica M. Black-Schaffer

We review the fabrication and transport characterization of hexagonal boron nitride (hBN)/Bernal bilayer graphene (BLG) moir\'e superlattices. Due to the moir\'e effect, the hBN/BLG moir\'e superlattices exhibit an energy gap at the charge…

Mesoscale and Nanoscale Physics · Physics 2025-09-29 Takuya Iwasaki , Yoshifumi Morita

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.…

Mesoscale and Nanoscale Physics · Physics 2025-07-02 Elias Andrade , Alejandro Jimeno-Pozo , Pierre A. Pantaleon , Francisco Guinea , Gerardo G. Naumis

We investigate the mesoscopic transport through a twisted bilayer graphene (TBG) consisting of a clean graphene nanoribbon on the bottom and a disordered graphene disc on the top. We show that, with strong top-layer disorder the…

Mesoscale and Nanoscale Physics · Physics 2024-02-20 Zhe Hou , Ya-Yun Hu , Guang-Wen Yang

Moir\'e transition metal dichalcogenide (TMD) materials provide an ideal playground for studying the combined interplay of strong interactions and band-topology over a range of electronic fillings. Here we investigate the panoply of…

Strongly Correlated Electrons · Physics 2024-11-22 Juan Felipe Mendez-Valderrama , Sunghoon Kim , Debanjan Chowdhury

Twisted bilayer graphene (TBG) has taken the spotlight in the condensed matter community since the discovery of correlated phases at the so-called magic angle. Interestingly, the role of a substrate on the electronic properties of TBG has…

Mesoscale and Nanoscale Physics · Physics 2022-04-26 Min Long , Pierre A. Pantaleón , Zhen Zhan , Francisco Guinea , Jose Ángel Silva-Guillén , Shengjun Yuan

Interactions among electrons and the topology of their energy bands can create novel quantum phases of matter. Most topological electronic phases appear in systems with weak electron-electron interactions. The instances where topological…

Mesoscale and Nanoscale Physics · Physics 2020-12-25 Kevin P. Nuckolls , Myungchul Oh , Dillon Wong , Biao Lian , Kenji Watanabe , Takashi Taniguchi , B. Andrei Bernevig , Ali Yazdani

Employing graphene as a template, we fabricate moir\'e superlattices by stacking bilayer or folded bilayer-bilayer graphene (BLG or fBBLG) and hexagonal boron nitride (hBN), i.e., hBN/BLG/hBN or hBN/fBBLG/hBN stacks, with a small twist…

Bilayer graphene twisted by a small angle shows a significant charge modulation away from neutrality, as the charge in the narrow bands near the Dirac point is mostly localized in the regions of the Moir\'e pattern with $AA$ stacking. The…

Mesoscale and Nanoscale Physics · Physics 2018-12-13 Francisco Guinea , Niels R. Walet

Electron-electron interactions play an important role in graphene and related systems and can induce exotic quantum states, especially in a stacked bilayer with a small twist angle. For bilayer graphene where the two layers are twisted by a…

We present a phenomenological theory of the low energy moir\'e minibands of Dirac electrons in graphene placed on an almost commensurate hexagonal underlay with a unit cell pproximately three times larger than that of graphene.A slight…

Mesoscale and Nanoscale Physics · Physics 2013-10-15 J. R. Wallbank , M. Mucha-Kruczynski , V. I. Fal'ko

Recently hybridized monolayers consisting of hexagonal boron nitride (h-BN) phases inside graphene layer have been synthesized and shown to be an effective way of opening band gap in graphene monolayers [1]. In this letter, we report an ab…

Materials Science · Physics 2012-04-27 Qing Peng , Amir R. Zamiri , Wei Ji , Suvranu De

Rhombohedral or ABC stacked multilayer graphene hosts a correlated magnetic ground state at charge neutrality, making it one of the simplest systems to investigate strong electronic correlations. We investigate this ground state in…

Strongly Correlated Electrons · Physics 2026-02-23 András Balogh , János Koltai , Péter Nemes-Incze , Zoltán Tajkov

In this Letter, we derive an effective theory of graphene on a hexagonal Boron Nitride (h-BN) substrate. We show that the h-BN substrate generically opens a spectral gap in graphene despite the lattice mismatch. The origin of that gap is…

Mesoscale and Nanoscale Physics · Physics 2012-11-12 M. Kindermann , Bruno Uchoa , D. L. Miller

We study the electronic structure of a double-twisted few layer graphite (DTFLG), which consists of three few layer graphite (FLG), i.e. ABA-stacked graphene multilayer, stacked with two twist angles. We consider two categories of DTFLG,…

Mesoscale and Nanoscale Physics · Physics 2023-02-02 Zhen Ma , Shuai Li , Ming Lu , Dong-Hui Xu , Jin-Hua Gao , X. C. Xie

Many graphene moir\'e superlattices host narrow bands with non-zero valley Chern numbers. We provide analytical and numerical evidence for a robust spin and/or valley polarized insulator at total integer band filling in nearly flat bands of…

Strongly Correlated Electrons · Physics 2020-05-13 Cécile Repellin , Zhihuan Dong , Ya-Hui Zhang , T. Senthil

Graphene, as an atomic-thick ultrasoft membrane, almost has no resistance against out-of-plane deformations and, therefore, it is always wrinkled to a certain degree. Recently, corrugated structures and their effects on the electronic…

Mesoscale and Nanoscale Physics · Physics 2016-09-13 Si-Yu Li , Hua Jiang , Jiao-Jiao Zhou , Haiwen Liu , Fan Zhang , Lin He