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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…

Rhombohedral multilayer graphene hosts a rich landscape of correlated symmetry-broken phases, driven by strong interactions from its flat band edges. Aligning to hexagonal boron nitride (hBN) creates a moir\'e pattern, leading to recent…

Van der Waals (vdW) heterostructures consisting of Bernal bilayer graphene (BLG) and hexagonal boron nitride (hBN) are investigated. By performing first-principles calculations we capture the essential BLG band structure features for…

Mesoscale and Nanoscale Physics · Physics 2023-09-27 Klaus Zollner , Eike Icking , Jaroslav Fabian

We report on a double moir\'e system consisting of four graphene layers, where the top and bottom pairs form small-twist-angle bilayer graphene, and the middle interface has a large rotational mismatch. This system shows clear signatures of…

Realizing Chern insulators with Chern numbers greater than one remains a major goal in quantum materials research. Such platforms promise multichannel dissipationless chiral transport and access to correlated phases beyond the conventional…

Flat bands and nontrivial topological physics are two important topics of condensed matter physics. With a unique stacking configuration analogous to the Su-Schrieffer-Heeger (SSH) model, rhombohedral graphite (RG) is a potential candidate…

Twisted graphene multilayers exhibit strongly correlated insulating states and superconductivity due to the presence of ultraflat bands near the charge neutral point. In this paper, the response of ultraflat bands to lattice relaxation and…

Mesoscale and Nanoscale Physics · Physics 2021-04-08 Zewen Wu , Zhen Zhan , Shengjun Yuan

Twisted bilayer graphene (TBG) hosts a rich landscape of electronic phases arising from the interplay between strong electron-electron interactions and nontrivial band topology. While the flat bands near zero energy are central to many…

Mesoscale and Nanoscale Physics · Physics 2026-02-16 Leonardo A. Navarro-Labastida , Pierre A. Pantaleon , Francisco Guinea , Gerardo G. Naumis

Here we present a theory of mirror-symmetric magic angle twisted trilayer graphene. The electronic properties are described by a Hubbard model with long range tunneling matrix elements. The electronic properties are obtained by solving the…

Mesoscale and Nanoscale Physics · Physics 2026-05-13 Alina Wania Rodrigues , Maciej Bieniek , Daniel Miravet , Pawel Hawrylak

We consider bilayer graphene in the presence of spin orbit coupling, to assess its behavior as a topological insulator. The first Chern number $n$ for the energy bands of single and bilayer graphene is computed and compared. It is shown…

Mesoscale and Nanoscale Physics · Physics 2011-07-18 E. Prada , P. San-Jose , L. Brey , H. A. Fertig

A major hurdle in understanding the phase diagram of twisted bilayer graphene (TBLG) are the roles of lattice relaxation and electronic structure on isolated band flattening near magic twist angles. In this work, the authors develop an…

Mesoscale and Nanoscale Physics · Physics 2024-03-28 Shivesh Pathak , Tawfiqur Rakib , Run Hou , Andriy Nevidomskyy , Elif Ertekin , Harley T. Johnson , Lucas K. Wagner

In moir\'e graphene systems, electronic interactions lift spin and valley degeneracies, leading to symmetry-broken ground states. In helical trilayer graphene (HTG), we uncover a distinct interaction-driven mechanism in which the roles of…

Spontaneous orbital magnetism observed in twisted bilayer graphene (tBG) on nearly aligned hexagonal boron nitride (BN) substrate builds on top of the electronic structure resulting from combined G/G and G/BN double moire interfaces. Here…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Jiseon Shin , Youngju Park , Bheema Lingam Chittari , Jeil Jung

Multilayer graphene with rhombohedral and Bernal stacking are supposed to be metallic, as predicted by density functional theory calculations using semi-local functionals. However recent angular resolved photoemission and transport data…

Mesoscale and Nanoscale Physics · Physics 2020-05-06 Marco Campetella , Nguyen Minh Nguyen , Jacopo Baima , Lorenzo Maschio , Francesco Mauri , Matteo Calandra

Rhombohedral multilayer graphene has emerged as a powerful platform for investigating flat-band-driven correlated phenomena, yet most aspects remain not understood. In this work, we systematically study the moire-dependent band topology in…

We study the superlattice minibands produced by the interplay between moir\'e pattern induced by hexagonal BN substrate on graphene layer and the interlayer coupling in bilayer graphene with Bernal stacking (BLG). We compare moir\'e…

Mesoscale and Nanoscale Physics · Physics 2013-11-20 M. Mucha-Kruczynski , J. Wallbank , V. I. Fal'ko

Graphene and transition metal dichalcogenide flat-band systems show similar phase diagrams, replete with magnetic and superconducting phases. An abiding question has been whether magnetic ordering competes with superconductivity or…

Fractional quantum anomalous Hall effects realized in twisted bilayer MoTe$_2$ and multilayer-graphene-based moir\'e heterostructures have captured a tremendous growth of interest. In this work, we propose that rhombohedral multilayer…

Mesoscale and Nanoscale Physics · Physics 2025-03-17 Yanran Shi , Bo Xie , Fengfan Ren , Xinyu Cai , Zhongqing Guo , Qiao Li , Xin Lu , Nicolas Regnault , Zhongkai Liu , Jianpeng Liu

In recent experiments, superconductivity and correlated insulating states were observed in twisted bilayer graphene (TBG) with small magic angles, which highlights the importance of the flat bands near Fermi energy. However, the moir\'e…

Materials Science · Physics 2020-02-11 Jing-Yang You , Bo Gu , Gang Su

We report on first-principle calculations on magnetic proximity effect in a van der Waals heterostructure formed by a graphene monolayer induced by its interaction with a two-dimensional (2D) ferromagnet (chromium tribromide, CrBr3). We…

Mesoscale and Nanoscale Physics · Physics 2019-11-15 Sushant Kumar Behera , Mayuri Bora , Sapta Sindhu Paul Chowdhury , Pritam Deb