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We consider magnetic breakdown in twisted bilayer graphene where electrons may hop between semiclassical $k$-space trajectories in different layers. These trajectories within a doubled Brillouin zone constitute a network in which an…

介观与纳米尺度物理 · 物理学 2014-02-11 Chi-Ken Lu , H. A. Fertig

We report the discovery of a series of non-equilibrium magic angles at which isolated topological flat quasienergy bands form in AA-stacked twisted multilayer graphene under circularly polarized light. These non-equilibrium magic angles can…

强关联电子 · 物理学 2025-03-05 Yantao Li , Wang-Kong Tse

The effective theory for bilayer graphene (BLG), subject to parallel/in-plane magnetic fields, is derived. With a sizable magnetic field the trigonal warping becomes irrelevant, and one ends up with two Dirac points in the vicinity of each…

介观与纳米尺度物理 · 物理学 2014-01-08 Bitan Roy , Kun Yang

The interlayer energy of the twisting bilayer graphene is investigated by the molecular mechanics method using both the registry-dependent potential and the Lennard-Jones potential. Both potentials show that the interlayer energy is…

材料科学 · 物理学 2013-07-12 Jin-Wu Jiang , Bing-Shen Wang , Timon Rabczuk

The generalized tight-binding model, based on the subenvelope functions of distinct sublattices, is developed to investigate the magnetic quantization in sliding bilayer graphenes. The relative shift of two graphene layers induces a…

材料科学 · 物理学 2016-11-18 Yao-Kung Huang , Szu-Chao Chen , Yen-Hung Ho , Chiun-Yan Lin , Ming-Fa Lin

Through extensive self-consistent Hartree-Fock calculations in a tight-binding model of twisted bilayer graphene (TBG), we show that many-body effects lead to a considerable increase of the bandwidth of the flat bands and, concomitantly, to…

介观与纳米尺度物理 · 物理学 2026-04-30 Miguel Sánchez Sánchez , José González , Tobias Stauber

In a groundbreaking experimental advance it was recently shown that by stacking two sheets of graphene atop of each other at a twist angle close to one of the so called "magic angles", an effective two-dimensional correlated system emerges.…

介观与纳米尺度物理 · 物理学 2019-10-01 Lede Xian , Dante M. Kennes , Nicolas Tancogne-Dejean , Massimo Altarelli , Angel Rubio

We investigate the effects of lithium intercalation in twisted bilayers of graphene, using first-principles electronic structure calculations. To model this system we employ commensurate supercells that correspond to twist angles of…

介观与纳米尺度物理 · 物理学 2020-02-11 Daniel T. Larson , Stephen Carr , Georgios A. Tritsaris , Efthimios Kaxiras

We analytically study the orbital response of alternating-twist graphene systems with four and five layers to an in-plane magnetic field, using the unitary transformation introduced by Khalaf et al. (Phys. Rev. B 100, 085109 (2019)). This…

Flat bands in graphene-based moir\'e structures host a wide range of emerging strongly correlated and topological phenomena. Optically probing and controlling them can reveal important information such as symmetry and dynamics, but have so…

强关联电子 · 物理学 2025-03-28 Eylon Persky , Minhao He , Jiaqi Cai , Takashi Taniguchi , Kenji Watanabe , Xiaodong Xu , Aharon Kapitulnik

Twisted bilayer graphene (TBG) near the magic twist angle of $\sim1.1^{o}$ exhibits a rich phase diagram. However, the interplay between different phases and their dependence on twist angle is still elusive. Here, we explore the stability…

The effect of an hexagonal boron nitride (hBN) layer close aligned with twisted bilayer graphene (TBG) is studied. At sufficiently low angles between twisted bilayer graphene and hBN, $\theta_{hBN} \lesssim 2^\circ$, the graphene electronic…

强关联电子 · 物理学 2020-10-28 Tommaso Cea , Pierre A. Pantaleon , Francisco Guinea

We investigate the contribution of the low-energy electronic excitations towards the Raman spectrum of bilayer graphene for the incoming photon energy Omega >> 1eV. Starting with the four-band tight-binding model, we derive an effective…

介观与纳米尺度物理 · 物理学 2010-08-17 M. Mucha-Kruczynski , O. Kashuba , V. I. Fal'ko

We propose that flat bands and van Hove singularities near the magic angle can be stabilized against angle disorder in the twisted Kane-Mele model. With continuum model and maximally localized Wannier function approaches, we identify a…

强关联电子 · 物理学 2024-10-29 Cheng Xu , Yong Xu , Wenhui Duan , Yang Zhang

Theory of spin-orbit coupling in bilayer graphene is presented. The electronic band structure of the AB bilayer in the presence of spin-orbit coupling and a transverse electric field is calculated from first-principles using the linearized…

介观与纳米尺度物理 · 物理学 2012-03-28 Sergej Konschuh , Martin Gmitra , Denis Kochan , Jaroslav Fabian

Twisted graphene bilayers develop highly localised states around AA-stacked regions for small twist angles. We show that interaction effects may induce either an antiferromagnetic (AF) and a ferromagnetic (F) polarization of said regions,…

介观与纳米尺度物理 · 物理学 2017-09-13 Luis A. Gonzalez-Arraga , J. L. Lado , Francisco Guinea , Pablo San-Jose

We report on our studies of interacting electrons in bilayer graphene in a magnetic field. We demonstrate that the long range Coulomb interactions between electrons in this material are highly important. We show that in the unbiased bilayer…

介观与纳米尺度物理 · 物理学 2008-10-02 D. S. L. Abergel , Tapash Chakraborty

The family of moir\'e materials provides a powerful platform for tuning interlayer couplings via the twist angle in systems with large spatial periodicity. In trilayer graphene systems, interlayer couplings at the two interfaces can…

介观与纳米尺度物理 · 物理学 2025-04-09 Wei-En Tseng , Mei-Yin Chou

Magic angles in the chiral model of twisted bilayer graphene are parameters for which the chiral version of the Bistritzer--MacDonald Hamiltonian exhibits a flat band at energy zero. We compute the sums over powers of (complex) magic angles…

数学物理 · 物理学 2023-06-02 Simon Becker , Tristan Humbert , Maciej Zworski

Misoriented bilayer graphene with commensurate angles shows unique magneto-optical properties. The optical absorption spectra of such a system strongly depend on the angle of rotation. For a general commensurate twist angle the absorption…

介观与纳米尺度物理 · 物理学 2011-03-01 Vadim M. Apalkov , Tapash Chakraborty