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In this paper, we analytically investigate the electronic structure of Bernal stacking (AB stacking) graphene evolving from monolayer (a zero-gap semiconductor with a linear Dirac-like spectrum around the Fermi energy) to multi-layer…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Z. F. Wang , Huaixiu Zheng , Q. W. Shi , Jie Chen , Jinlong Yang , J. G. Hou

We study the existence and topological stability of Fermi points in a graphene layer and stacks with many layers. We show that the discrete symmetries (spacetime inversion) stabilize the Fermi points in monolayer, bilayer and multilayer…

Strongly Correlated Electrons · Physics 2013-05-29 Juan L. Mañes , Francisco Guinea , María A. H. Vozmediano

Stackings in graphene have a pivotal role in properties to be discussed in the future, as seen in the recently found superconductivity of twisted bilayer graphene. Beyond bilayer graphene, the stacking order of multilayer graphene can be…

Mesoscale and Nanoscale Physics · Physics 2022-12-12 Raúl Guerrero-Avilés , Marta Pelc , Fabian Geisenhof , Thomas Weitz , Andrés Ayuela

Electronic properties of bilayer and multilayer graphene have generally been interpreted in terms of AB or Bernal stacking. However, it is known that many types of stacking defects can occur in natural and synthetic graphite; rotation of…

Materials Science · Physics 2011-11-09 J. M. B. Lopes dos Santos , N. M. R. Peres , A. H. Castro Neto

The 1+1 layer folded graphene sheets that deviate from AB stacking are successfully fabricated and their electronic structures are investigated by Raman spectroscopy. Significant blue shift of the 2D band of folded graphene compared to that…

Materials Science · Physics 2009-11-13 Zhenhua Ni , Yingying Wang , Ting Yu , Yumeng You , Zexiang Shen

The experimental control over the twist angle in twisted bilayer graphene has not been reported and its realistic structure is most likely incommensurate. In this paper, we develop a tight-binding virtual crystal approximation theory to…

Mesoscale and Nanoscale Physics · Physics 2015-01-27 D. Ghader , D. Szczȩśniak , A. Khater

We investigate the many-body instabilities of electrons interacting near Van Hove singularities arising in monolayer and twisted bilayer graphene. We show that a pairing instability must be dominant over the tendency to magnetic order as…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 J. Gonzalez

Electronic instabilities at the crossing of the Fermi energy with a Van Hove singularity in the density of states often lead to new phases of matter such as superconductivity, magnetism or density waves. However, in most materials this…

Mesoscale and Nanoscale Physics · Physics 2011-04-18 Guohong Li , A. Luican , J. M. B. Lopes dos Santos , A. H. Castro Neto , A. Reina , J. Kong , E. Y. Andrei

Extensive scanning tunnelling microscopy and spectroscopy experiments complemented by first principles and parameterized tight binding calculations provide a clear answer to the existence, origin and robustness of van Hove singularities…

Using the tight-binding model of graphite, incorporating all Slonczewski-Weiss-McClure parameters, we compute the spectrum of two-dimensional states of electrons bound to a stacking fault in Bernal graphite. We find that those bands retain…

Mesoscale and Nanoscale Physics · Physics 2024-12-10 Patrick Johansen Sarsfield , Sergey Slizovskiy , Mikito Koshino , Vladimir Fal'ko

We present a systematic Raman study of unconventionally-stacked double-layer graphene, and find that the spectrum strongly depends on the relative rotation angle between layers. Rotation-dependent trends in the position, width and intensity…

Mesoscale and Nanoscale Physics · Physics 2012-06-15 Kwanpyo Kim , Sinisa Coh , Liang Z. Tan , William Regan , Jong Min Yuk , Eric Chatterjee , M. F. Crommie , Marvin L. Cohen , Steven G. Louie , A. Zettl

Novel systems of layered graphene are attracting interest for theories and applications. The stability, band structures of few-layer graphite films, and their dependence on electric field applied along the c-axis are examined within the…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Masato Aoki , Hiroshi Amawashi

The bands of graphite are extremely sensitive to topological defects which modify the electronic structure. In this paper we found non-dispersive flat bands no farther than 10 meV of the Fermi energy in slightly twisted bilayer graphene as…

Mesoscale and Nanoscale Physics · Physics 2010-12-21 E. Suárez Morell , J. D. Correa , P. Vargas , M. Pacheco , Z. Barticevic

Stacking geometry in multilayer graphene (MLG) provides an interesting degree of freedom to engineer its electronic structure near the Fermi level, wherein the linear bands in single layer graphene could retain or evolve into parabolic or…

Mesoscale and Nanoscale Physics · Physics 2026-05-28 Fred Sun , Jia-An Yan

We derive an effective Hamiltonian at low energies for bilayer graphene when Fermi velocity manufactured on each layer is different of the velocity measured in pristine graphene. Based on the effective Hamiltonian, we investigate the…

Mesoscale and Nanoscale Physics · Physics 2017-04-13 Fatemeh Adinehvand , Hosein Cheraghchi

Graphite occurs in a range of metastable stacking orders characterized by both the number and direction of shifts between adjacent layers by the length of a single carbon-carbon bond. At the extremes are Bernal (or ``ABAB...'') stacking,…

Graphene multilayers exhibit electronic spectra that depend sensitively on both the number of layers and their stacking order. Beyond trilayer graphene, mixed stacking sequences (alternating Bernal and rhombohedral layers) give rise to…

We present the first Raman spectroscopic study of Bernal bilayer graphene flakes under uniaxial tension. Apart from a purely mechanical behavior in flake regions where both layers are strained evenly, certain effects stem from inhomogeneous…

The crystal structure of solid-state matter greatly affects its electronic properties. For example in multilayer graphene, precise knowledge of the lateral layer arrangement is crucial, since the most stable configurations, Bernal and…

Atomically thin materials offer multiple opportunities for layer-by-layer control of their electronic properties. While monolayer graphene (MLG) is a zero-gap system, Bernal-stacked bilayer graphene (BLG) acquires a finite band gap when the…

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