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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 study the orbital effect of a strong magnetic field parallel to the layers on the energy spectrum of the Bernal-stacked graphene bilayer and multilayers, including graphite. We consider the minimal model with the electron tunneling…

Mesoscale and Nanoscale Physics · Physics 2010-11-15 Sergey S. Pershoguba , Victor M. Yakovenko

We propose a generalized Peierls substitution method in conjunction with the tight-binding model to explore the magnetic quantization and quantum Hall effect in twisted multilayer graphene under a magnetic field. The Bloch-basis…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Thi-Nga Do , Po-Hsin Shih , Hsin Lin , Danhong Huang , Godfrey Gumbs , Tay-Rong Chang

A model of a superlattice consisting of alternating strips of single-layer and bilayer graphene is proposed, whose parameters of the energy spectrum can be controlled by changing the external electric field perpendicular to the surface of…

Mesoscale and Nanoscale Physics · Physics 2020-12-16 V. L. Abdrakhmanov , P. V. Badikova D. V. Zav'yalov , V. I. Konchenkov , S. V. Kryuchkov

If we stack up two layers of graphene while changing their respective orientation by some twisting angle, we end up with a system that has striking differences when compared to single-layer graphene. For a very specific value of this twist…

Mesoscale and Nanoscale Physics · Physics 2024-09-18 Eduardo B. Molinero , Anushree Datta , María J. Calderón , Elena Bascones , Rui E. F. Silva

Bernal bilayer graphene exhibits a band gap that is tunable through the infrared with an electric field. We show that sublattice odd commensurate twisted bilayer graphene (C-TBG) exhibits a band gap that is tunable through the terahertz…

Mesoscale and Nanoscale Physics · Physics 2026-01-23 Spenser Talkington , Eugene J. Mele

Bilayer graphene has been a subject of intense study in recent years. We extend a structural phase field crystal method to include an external potential from adjacent layer(s), which is generated by the corresponding phase field and changes…

Materials Science · Physics 2020-12-24 Kai Liu

Analytical treatments of tunneling in bilayer graphene have typically relied on minimal models including only the vertical interlayer hopping $\gamma_1$ and have been restricted to the weak interlayer bias regime $2\varepsilon \ll…

Mesoscale and Nanoscale Physics · Physics 2026-02-25 Ryo Tamura

Drawing inspiration from bilayer graphene, this paper introduces its photonic analog comprising two stacked graphene-like photonic crystals, that are coupled in the near-field through spoof surface plasmons. Beyond the twist degree of…

We present a theoretical study of the bandstructure and Landau levels in bilayer graphene at low energies in the presence of a transverse magnetic field and Rashba spin-orbit interaction in the regime of negligible trigonal distortion.…

Mesoscale and Nanoscale Physics · Physics 2012-09-18 Francisco Mireles , John Schliemann

Thin membranes, such as monolayer graphene of monoatomic thickness, are bound to exhibit lateral buckling under uniaxial tensile loading that impairs its mechanical behaviour. In this work, we have developed an experimental device to…

The absence of an energy gap separating valence and conduction bands makes the low-energy electronic properties of graphene and its multi-layers sensitive to electron-electron interactions. In bilayers, for instance, interactions are…

Among many remarkable qualities of graphene, its electronic properties attract particular interest due to a massless chiral character of charge carriers, which leads to such unusual phenomena as metallic conductivity in the limit of no…

Mesoscale and Nanoscale Physics · Physics 2011-04-07 F. Guinea , M. I. Katsnelson , A. K. Geim

Experiments on bilayer graphene unveiled a fascinating realization of stacking disorder where triangular domains with well-defined Bernal stacking are delimited by a hexagonal network of strain solitons. Here we show by means of numerical…

Mesoscale and Nanoscale Physics · Physics 2018-04-13 Fernando Gargiulo , Oleg V. Yazyev

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…

Mesoscale and Nanoscale Physics · Physics 2011-03-01 Vadim M. Apalkov , Tapash Chakraborty

We consider the electronic structure of a slightly twisted graphene bilayer and show the coexistence of van Hove singularities (VHSs) and superlattice Dirac points in a continuum approximation. The graphene-on-graphene moir\'e pattern gives…

Mesoscale and Nanoscale Physics · Physics 2013-04-19 Zhao-Dong Chu , Wen-Yu He , Lin He

We present a self-consistent calculation of the interlayer asymmetry in bilayer graphene caused by an applied electric field in magnetic fields. We show how this asymmetry influences the Landau level spectrum in bilayer graphene and the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. Mucha-Kruczynski , E. McCann , V. I. Fal'ko

Strongly correlated and topological phases in moir\'e materials are exquisitely sensitive to lattice geometry at both atomic and superlattice length scales. Twist angle, pressure, and strain directly modify the lattice, and thus act as…

Mesoscale and Nanoscale Physics · Physics 2025-05-16 Xuetao Ma , Zhaoyu Liu , Jiaqi Cai , Kenji Watanabe , Takashi Taniguchi , Xiaodong Xu , Jiun-Haw Chu , Matthew Yankowitz

Twisted bilayer graphene (tBLG) represents a family of unique materials with optoelectronic properties tuned by the rotation angle between the two layers. The presented work shows an additional way of tweaking the electronic structure of…

The strain fields of periodically buckled graphene induce a periodic pseudo-magnetic field (PMF) that modifies the electronic band structure. From the geometry, amplitude, and period of the periodic pseudo-magnetic field, we determine the…

Mesoscale and Nanoscale Physics · Physics 2020-12-29 S. P. Milovanović , M. Anđelković , L. Covaci , F. M. Peeters
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