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Twisted bilayer graphene is an excellent example of highly correlated system demonstrating a nearly flat electron band, the Mott transition and probably a spin liquid state. Besides the one-electron picture, analysis of Dirac points is…

强关联电子 · 物理学 2018-06-28 V. Yu. Irkhin , Yu. N. Skryabin

Electronic structures and their Landau quantizations in twisted graphene bilayer and trilayer are investigated using scanning tunnelling microscopy and spectroscopy. In the twisted trilayer, the top graphene layer and second layer are AB…

介观与纳米尺度物理 · 物理学 2015-01-09 Long-Jing Yin , Jia-Bin Qiao , Wei Yan , Rui Xu , Rui-Fen Dou , Jia-Cai Nie , Lin He

We present a theoretical study of the intrinsic plasmonic properties of twisted bilayer graphene (TBG) as a function of the twist angle $\theta$ (and other microscopic parameters such as temperature and filling factor). Our calculations,…

介观与纳米尺度物理 · 物理学 2024-09-06 Lorenzo Cavicchi , Iacopo Torre , Pablo Jarillo-Herrero , Frank H. L. Koppens , Marco Polini

Atomistic first principles many-body computational studies were so far limited by the system size. In this work, we apply and expand the stochastic GW method allowing calculations of quasiparticle energies of giant systems. We introduce…

计算物理 · 物理学 2021-11-05 Mariya Romanova , Vojtech Vlcek

Strongly correlated phases in twisted bilayer graphene (TBG) typically arise as transitions from a state in which the system behaves as a normal metal. In such metallic regime, electron-electron interactions usually only play a subleading…

介观与纳米尺度物理 · 物理学 2023-10-17 Federico Escudero , Juan Sebastián Ardenghi

Recent research on twisted bilayer graphene (TBG) uncovered that its twist-angle-dependent electronic structure leads to a host of unique properties, such as superconductivity, correlated insulating states, and magnetism. The flat bands…

介观与纳米尺度物理 · 物理学 2021-03-29 Adithya Kommini , Zlatan Aksamija

Electronic properties of quantum dots (QDs) depend sensitively on their parent materials. Therefore, confined electronic states in graphene QDs (GQDs) of monolayer and Bernal-stacked bilayer graphene are quite different. Twisted bilayer…

介观与纳米尺度物理 · 物理学 2022-01-05 Xiao-Feng Zhou , Yi-Wen Liu , Hong-Yi Yan , Zhong-Qiu Fu , Haiwen Liu , Lin He

Here we study the evolution of local electronic properties of a twisted graphene bilayer induced by a strain and a high curvature. The strain and curvature strongly affect the local band structures of the twisted graphene bilayer; the…

介观与纳米尺度物理 · 物理学 2015-06-05 Wei Yan , Wen-Yu He , Zhao-Dong Chu , Mengxi Liu , Lan Meng , Rui-Fen Dou , Yanfeng Zhang , Zhongfan Liu , Jia-Cai Nie , Lin He

We derive the explicit Hamiltonian of twisted bilayer graphene (TBG) with Coulomb interaction projected into the flat bands, and study the symmetries of the Hamiltonian. First, we show that all projected TBG Hamiltonians can be written as…

强关联电子 · 物理学 2022-04-29 B. Andrei Bernevig , Zhi-Da Song , Nicolas Regnault , Biao Lian

The folding of monolayer graphene leads to new layered systems, termed twisted bilayer graphene (TBG), generally displaying a certain interlayer rotation away from crystallographic alignment. We here present an atomic force microscopy study…

材料科学 · 物理学 2016-08-30 Johannes C. Rode , Christopher Belke , Hennrik Schmidt , Rolf J. Haug

We show that the recently observed superconductivity in twisted bilayer graphene (TBG) can be explained as a consequence of the Kohn-Luttinger (KL) instability which leads to an effective attraction between electrons with originally…

介观与纳米尺度物理 · 物理学 2019-01-21 J. González , T. Stauber

In twisted bilayer graphene (TBG) a moir\'e pattern forms that introduces a new length scale to the material. At the 'magic' twist angle of 1.1{\deg}, this causes a flat band to form, yielding emergent properties such as correlated…

One of the most remarkable theoretical findings in magic angle twisted bilayer graphene (TBG) is the emergence of ferromagnetic Slater determinants as exact ground states for the interacting Hamiltonian at the chiral limit. This discovery…

数学物理 · 物理学 2025-06-02 Simon Becker , Lin Lin , Kevin D. Stubbs

Starting from the strong-coupling limit of an extended Hubbard model, we develop a spin-fermion theory to study the insulating phase and pairing symmetry of the superconducting phase in twisted bilayer graphene. Assuming that the insulating…

We propose an SU(4) spin-valley-fermion model to investigate the superconducting instabilities of twisted bilayer graphene (TBG). In this approach, bosonic fluctuations associated with an emergent SU(4) symmetry, corresponding to combined…

超导电性 · 物理学 2021-01-20 Yuxuan Wang , Jian Kang , Rafael M. Fernandes

Using exact diagonalization, we study the projected Hamiltonian with Coulomb interaction in the 8 flat bands of first magic angle twisted bilayer graphene. Employing the U(4) (U(4)$\times$U(4)) symmetries in the nonchiral (chiral) flat band…

强关联电子 · 物理学 2022-04-26 Fang Xie , Aditya Cowsik , Zhi-Da Song , Biao Lian , B. Andrei Bernevig , Nicolas Regnault

We develop a model to describe the mixed valence regime in magic-angle twisted bilayer graphene (MATBG) using the recently developed heavy-fermion framework. By employing the large-$N$ slave-boson approach, we derive the self-consistent…

超导电性 · 物理学 2024-07-16 Yantao Li , Benjamin M. Fregoso , Maxim Dzero

We derive an {\em ab initio} $\pi$-band tight-binding model for $AB$ stacked bilayer graphene based on maximally localized Wannier wave functions (MLWFs) centered on the carbon sites, finding that both intralayer and interlayer hopping is…

介观与纳米尺度物理 · 物理学 2015-02-23 Jeil Jung , Allan H. MacDonald

We demonstrate theoretically that the topology of energy bands and Fermi surface in bilayer graphene undergoes a very sensitive transition when extremely tiny lateral interlayer shift occurs in arbitrary directions. The phenomenon…

介观与纳米尺度物理 · 物理学 2011-10-17 Young-Woo Son , Seon-Myeong Choi , Yoon Pyo Hong , Sungjong Woo , Seung-Hoon Jhi

We report a systematic plasmonic study of twisted bilayer graphene (TBLG) - two graphene layers stacked with a twist angle. Through real-space nanoimaging of TBLG single crystals with a wide distribution of twist angles, we find that TBLG…

介观与纳米尺度物理 · 物理学 2023-01-30 Fengrui Hu , Suprem R Das , Yilong Luan , T. -F. Chung , Yong P. Chen , Zhe Fei