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We describe how the out-of-plane dielectric polarizability of monolayer graphene influences the electrostatics of bilayer graphene -- both Bernal (BLG) and twisted (tBLG). We compare the polarizability value computed using density…

Flat electronic bands, characteristic of magic-angle twisted bilayer graphene (TBG), host a wealth of correlated phenomena. Early theoretical considerations suggested that, at the magic angle, the Dirac velocity vanishes and the entire…

Electronic properties of surface areas decoupled from graphite are studied using scanning tunnelling microscopy and spectroscopy. We show that it is possible to identify decoupled graphene monolayer, Bernal bilayer, and Bernal trilayer on…

Mesoscale and Nanoscale Physics · Physics 2015-03-06 Long-Jing Yin , Si-Yu Li , Jia-Bin Qiao , Jia-Cai Nie , Lin He

Developing graphene-based nanoelectronics hinges on opening a band gap in the electronic structure of graphene, which is commonly achieved by breaking the inversion symmetry of the graphene lattice via an electric field (gate bias) or…

Materials Science · Physics 2014-06-11 Liangzhi Kou , Feiming Hu , Binghai Yan , Thomas Frauenheim , Changfeng Chen

Recent experiments on magic-angle twisted bilayer graphene have discovered correlated insulating behavior and superconductivity at a fractional filling of an isolated narrow band. In this paper we show that magic-angle bilayer graphene…

Magic-angle twisted bilayer graphene has recently become a thriving material platform realizing correlated electron phenomena taking place within its topological flat bands. Several numerical and analytical methods have been applied to…

Strongly Correlated Electrons · Physics 2021-09-17 Bin-Bin Chen , Yuan Da Liao , Ziyu Chen , Oskar Vafek , Jian Kang , Wei Li , Zi Yang Meng

Twisted double bilayer graphene (tDBG) has emerged as an especially rich platform for studying strongly correlated and topological states of matter. The material features moir\'e bands that can be continuously deformed by both perpendicular…

Mesoscale and Nanoscale Physics · Physics 2023-12-05 Minhao He , Jiaqi Cai , Ya-Hui Zhang , Yang Liu , Yuhao Li , Takashi Taniguchi , Kenji Watanabe , David H. Cobden , Matthew Yankowitz , Xiaodong Xu

Electron collimation via a graphene pn-junction allows electrostatic control of ballistic electron trajectories akin to that of an optical circuit. Similar manipulation of novel correlated electronic phases in twisted-bilayer graphene…

Mesoscale and Nanoscale Physics · Physics 2024-04-02 Wei Ren , Xi Zhang , Ziyan Zhu , Moosa Khan , Kenji Watanabe , Takashi Taniguchi , Efthimios Kaxiras , Mitchell Luskin , Ke Wang

We investigate the electronic structure of alternating-twist triple Bernal-stacked bilayer graphene (t3BG) as a function of interlayer coupling $\omega$, twist angle $\theta$, interlayer potential difference $\Delta$, and top-bottom…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Jiseon Shin , Bheema Lingam Chittari , Yunsu Jang , Hongki Min , Jeil Jung

Twisted bilayer graphene (TwBLG) is one of the simplest van der Waals heterostructures, yet it yields a complex electronic system with intricate interplay between moir\'{e} physics and interlayer hybridization effects. We report on…

Mesoscale and Nanoscale Physics · Physics 2016-09-13 Y. Cao , J. Y. Luo , V. Fatemi , S. Fang , J. D. Sanchez-Yamagishi , K. Watanabe , T. Taniguchi , E. Kaxiras , P. Jarillo-Herrero

Graphene and its heterostructures exhibit interesting electronic properties and are explored for quantum spin Hall effect(QSHE) and magnetism based device applications. In present work, we propose a heterostructure of graphene encapsulated…

Materials Science · Physics 2019-10-07 Mohammed Ghadiyali , Sajeev Chacko

There is an increasing interest in the electronic properties of few layer graphene as it offers a platform to study electronic interactions because the dispersion of bands can be tuned with number and stacking of layers in combination with…

By comparing with recently available experimental data from several groups, we critically discuss the manifestation of continuum many body interaction effects in twisted bilayer graphene (tBLG) with small twist angles and low carrier…

Mesoscale and Nanoscale Physics · Physics 2020-06-02 Sankar Das Sarma , Fengcheng Wu

Ferromagnetism and superconductivity typically compete with each other since the internal magnetic field generated in a magnet suppresses the formation of spin-singlet Cooper pairs in conventional superconductors. Only a handful of…

Mesoscale and Nanoscale Physics · Physics 2020-07-09 Xiaomeng Liu , Zeyu Hao , Eslam Khalaf , Jong Yeon Lee , Kenji Watanabe , Takashi Taniguchi , Ashvin Vishwanath , Philip Kim

Superlattices from twisted graphene mono- and bi-layer systems give rise to on-demand many-body states such as Mott insulators and unconventional superconductors. These phenomena are ascribed to a combination of flat bands and strong…

We generalize the scalable tight-binding model for graphene, which allows for efficient quantum transport simulations in the Dirac regime, to account for elastic strain. We show that the original scalable model with scaling factor $s$ is…

Mesoscale and Nanoscale Physics · Physics 2026-05-28 Ming-Hao Liu , Christophe De Beule , Alina Mreńca-Kolasińska , Hsin-You Wu , Aitor Garcia-Ruiz , Denis Kochan , Klaus Richter

Twistronic has recently attracted tremendous attention because the twisting can engineer the bilayer graphene-like materials into varying types of strongly correlated phases. In this paper, we study the twisting of bilayer graphene (BLG)…

Mesoscale and Nanoscale Physics · Physics 2022-08-25 Ma Luo

Twisted bilayer graphene (TBG) is remarkable for its topological flat bands, which drive strongly-interacting physics at integer fillings, and its simple theoretical description facilitated by the Bistritzer-MacDonald Hamiltonian, a…

Strongly Correlated Electrons · Physics 2022-08-10 Jonah Herzog-Arbeitman , Aaron Chew , Dmitri K. Efetov , B. Andrei Bernevig

Bilayer graphene provides a unique platform to explore the rich physics in quantum Hall effect. The unusual combination of spin, valley and orbital degeneracy leads to interesting symmetry broken states with electric and magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Manabendra Kuiri , Anindya Das

We develop a theory for quantum phases and quantum multicriticality in bilayer graphene in the presence of an explicit energy gap in the non-interacting spectrum by extending previous renormalization group (RG) analyses of electron-electron…

Strongly Correlated Electrons · Physics 2014-11-18 Robert E. Throckmorton , S. Das Sarma