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Rotational misalignment or twisting of two mono-layers of graphene strongly influences its electronic properties. Structurally, twisting leads to large periodic supercell structures, which in turn can support intriguing strongly correlated…

30$^{\circ}$ twisted bilayer graphene demonstrates the quasicrystalline electronic states with 12-fold symmetry. These states are however far away from the Fermi level, which makes conventional Dirac fermion behavior dominating the low…

Materials Science · Physics 2020-07-13 Guodong Yu , Mikhail I. Katsnelson , Shengjun Yuan

We address the precise determination of the phase diagram of magic angle twisted bilayer graphene under hydrostatic pressure within a self-consistent Hartree-Fock method in real space, including all the remote bands of the system. We…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 Miguel Sánchez Sánchez , Israel Díaz , José González , Tobias Stauber

Bernal-stacked bilayer graphene modulated by a superlattice potential is a highly tunable system predicted to realize isolated topological flat bands. In this work we calculate the band structure and quantum geometry of bilayer graphene…

Mesoscale and Nanoscale Physics · Physics 2025-05-12 Dathan Ault-McCoy , M. Nabil Y. Lhachemi , Aaron Dunbrack , Sayed Ali Akbar Ghorashi , Jennifer Cano

We study the electronic band structures of massless Dirac fermions in symmetrical graphene superlattice with cells of three regions. Using the transfer matrix method, we explicitly determine the dispersion relation in terms of different…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Abdellatif Kamal , El Bouâzzaoui Choubabi , Ahmed Jellal

We study the effect of vertical electric field (E-field) on the electronic properties of multilayer graphene. We show that the effective mass, electron velocity and density-of-state of a bilayer graphene are modified under the E-field. We…

Mesoscale and Nanoscale Physics · Physics 2011-07-29 S. Bala kumar , Jing Guo

Proximity effects induced in the 2D Dirac material graphene potentially open access to novel and intriguing physical phenomena. Thus far, the coupling between graphene and ferromagnetic insulators has been experimentally established.…

Fabrication of graphene structures has triggered vast research efforts focused on the properties of two-dimensional systems with massless Dirac fermions. Nevertheless, further progress in exploring this quantum electrodynamics system in…

Mesoscale and Nanoscale Physics · Physics 2009-10-10 P. Neugebauer , M. Orlita , C. Faugeras , A. -L. Barra , M. Potemski

Dirac materials are characterized by energy-momentum relations that resemble those of relativistic massless particles. Commonly denominated Dirac cones, these dispersion relations are considered to be their essential feature. These…

Mesoscale and Nanoscale Physics · Physics 2017-09-05 A. Diaz-Fernandez , L. Chico , J. W. Gonzalez , F. Dominguez-Adame

The electronic structure of bilayer graphene under pressure develops very interesting features with an enhancement of the trigonal warping and a splitting of the parabolic touching bands at the K point of the reciprocal space into four…

Materials Science · Physics 2016-07-06 F Munoz , H. P. Ojeda Collado , Gonzalo Usaj , Jorge O. Sofo , C. A. Balseiro

We formulate the chiral decomposition rules that govern the electronic structure of a broad family of twisted $N+M$ multilayer graphene configurations that combine arbitrary stacking order and a mutual twist. We show that at the magic angle…

Mesoscale and Nanoscale Physics · Physics 2024-03-20 ShengNan Zhang , Bo Xie , QuanSheng Wu , Jianpeng Liu , Oleg V. Yazyev

Epitaxial graphene on SiC possesses, quite remarkably, an electron spectrum similar to that of freestanding samples. Yet, the coupling to the substrate, albeit small, affects the quasiparticle properties. Combining \emph{ab initio}…

Materials Science · Physics 2015-05-19 Oleg Pankratov , Stephan Hensel , Michel Bockstedte

Electronic structures of graphene sheet with different defective patterns are investigated, based on the first principles calculations. We find that defective patterns can tune the electronic structures of the graphene significantly.…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 H. Y. He , Y. Zhang , B. C. Pan

Few-layer graphene possesses low-energy carriers which behave as massive fermions, exhibiting intriguing properties in both transport and light scattering experiments. Lowering the excitation energy of resonance Raman spectroscopy down to…

We study the electronic band structure and the topological property of the twisted double bilayer graphene, or a pair of AB-stacked bilayer graphenes rotationally stacked on top of each other. We consider two different arrangements, AB-AB…

Mesoscale and Nanoscale Physics · Physics 2019-06-10 Mikito Koshino

A so-called artificial graphene is an artificial material whose low-energy carriers are described by the massless Dirac equation. Applying a periodic potential with triangular symmetry to a two-dimensional electron gas is one way to make…

Mesoscale and Nanoscale Physics · Physics 2016-02-18 Pilkwang Kim , Cheol-Hwan Park

Manipulating the circular polarization of light is of great importance in chemistry and biology, as chiral molecules exhibit different physiological properties when exposed to different circularly polarized waves. Here we suggest a…

Optics · Physics 2023-07-19 Tuo Chen , Sailing He

We study the effect of uniaxial strain on the electronic band structure of gapped graphene. We consider two types of gapped graphene, one which breaks the symmetry between the two triangular sublattices (staggered model), and another which…

Mesoscale and Nanoscale Physics · Physics 2010-05-11 M. Farjam , H. Rafii-Tabar

Superconductivity in flatband systems has attracted tremendous attention in condensed matter physics. Alternating twisted multilayer graphene presents a compelling multiband system, with a coexistence of Dirac bands and flat bands, for…

Composite fermions in fractional quantum Hall (FQH) systems are believed to form a Fermi sea of weakly interacting particles at half filling $\nu=1/2$. Recently, it was proposed (D. T. Son, Phys. Rev. X 5, 031027 (2015)) that these…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Antti Laitinen , Manohar Kumar , Pertti J. Hakonen