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Interlayer coupling in rotationally faulted graphene multilayers breaks the local sublattice-symmetry of the individual layers. We present a theory of this mechanism, which reduces to an effective Dirac model with space-dependent mass in an…

介观与纳米尺度物理 · 物理学 2013-05-29 M. Kindermann , P. N. First

This article reviews progress in the theoretical modelling of the electronic structure of rotationally faulted multilayer graphenes. In these systems the crystallographic axes of neighboring layers are misaligned so that the layer stacking…

介观与纳米尺度物理 · 物理学 2015-05-30 E. J. Mele

So far the physics of moir\'e graphene bilayers at large, incommensurate rotation angles has been considered uninteresting. It has been held that the interlayer coupling in such structures is weak and the system can be thought of as a pair…

介观与纳米尺度物理 · 物理学 2019-11-01 Hridis K. Pal , Stephen Spitz , Markus Kindermann

The conventional low-energy theory employed to describe twisted bilayer graphene (TBG) relies on a local interlayer Hamiltonian. According to this theory, TBG has the same linear-in-momentum dispersion and spinor wave function at the Dirac…

介观与纳米尺度物理 · 物理学 2024-04-09 Hridis K. Pal

We propose a new kind of geometric effective theory based on curved space-time single valley Dirac theory with spin connection for twisted bilayer graphene under generic twist angle. This model can reproduce the nearly flat bands with…

介观与纳米尺度物理 · 物理学 2022-06-07 Jia-Zheng Ma , Trinanjan Datta , Dao-Xin Yao

A properly strained graphene monolayer or bilayer is expected to harbour periodic pseudo-magnetic fields with high symmetry, yet to date, a convincing demonstration of such pseudo-magnetic fields has been lacking, especially for bilayer…

Stacking three monolayers of graphene with a twist generally produces two moir\'e patterns. A moir\'e of moir\'e structure then emerges at larger distance where the three layers periodically realign. We devise here an effective low-energy…

介观与纳米尺度物理 · 物理学 2023-03-30 Yuncheng Mao , Daniele Guerci , Christophe Mora

The electronic properties of bilayer graphene strongly depend on relative orientation of the two atomic lattices. Whereas Bernal-stacked graphene is most commonly studied, a rotational mismatch between layers opens up a whole new field of…

介观与纳米尺度物理 · 物理学 2014-12-15 Hennrik Schmidt , Johannes C. Rode , Dmitri Smirnov , Rolf J. Haug

The generalized tight-binding model is developed to investigate the magneto-electronic properties in twisted bilayer graphene system. All the interlayer and intralayer atomic interactions are included in the Moire superlattice. The twisted…

介观与纳米尺度物理 · 物理学 2019-07-23 Chiun-Yan Lin , Ming-Fa Lin

We demonstrate that the electronic spectrum of graphene in a one-dimensional periodic potential will develop a Landau level spectrum when the potential magnitude varies slowly in space. The effect is related to extra Dirac points generated…

介观与纳米尺度物理 · 物理学 2011-02-28 Jianmin Sun , H. A. Fertig , L. Brey

We study the localized magnetic states of impurity in biased bilayer and trilayer graphene. It is found that the magnetic boundary for bilayer and trilayer graphene presents the mixing features of Dirac and conventional fermion. For zero…

介观与纳米尺度物理 · 物理学 2009-11-13 Kai-He Ding , Zhen-Gang Zhu , Jamal Berakdar

Superlattices (SLs) in monolayer and bilayer graphene, formed by spatially periodic potential variations, lead to a modified bandstructure with extra finite-energy and zero-energy Dirac fermions with tunable anisotropic velocities. We…

介观与纳米尺度物理 · 物理学 2012-05-14 Si Wu , Matthew Killi , Arun Paramekanti

We study magneto--optical properties of monolayer graphene by means of quantum field theory methods in the framework of the Dirac model. We reveal a good agreement between the Dirac model and a recent experiment on giant Faraday rotation in…

介观与纳米尺度物理 · 物理学 2012-11-30 I. V. Fialkovsky , D. V. Vassilevich

Many-body electron-electron interaction effects are theoretically considered in monolayer graphene from a continuum effective field-theoretic perspective by going beyond the standard leading-order perturbative renormalization group (RG)…

介观与纳米尺度物理 · 物理学 2014-07-01 Edwin Barnes , E. H. Hwang , R. E. Throckmorton , S. Das Sarma

We put forward a theory of the weak localization in two dimensional graphene layers which explains experimentally observable transition between positive and negative magnetoresistance. Calculations are performed for the whole range of…

介观与纳米尺度物理 · 物理学 2014-10-15 M. O. Nestoklon , N. S. Averkiev

We develop a microscopic theory of the weak localization of two-dimensional massless Dirac fermions which is valid in the whole range of classically weak magnetic fields. The theory is applied to calculate magnetoresistance caused by the…

介观与纳米尺度物理 · 物理学 2011-10-03 M. O. Nestoklon , N. S. Averkiev , S. A. Tarasenko

We consider the orbital effect of an in-plane magnetic field on electrons in bilayer graphene, deriving linear-in-field contributions to the low-energy Hamiltonian arising from the presence of either skew interlayer coupling or interlayer…

介观与纳米尺度物理 · 物理学 2016-10-12 Narjes Kheirabadi , Edward McCann , Vladimir I. Fal'ko

We show that valley degeneracy in rotationally faulted multilayer graphene may be broken in the presence of a magnetic field and interlayer commensurations. This happens due to a simultaneous breaking of both time-reversal and inversion…

介观与纳米尺度物理 · 物理学 2015-06-17 Hridis K Pal , E. J. Mele , M. Kindermann

We explore the rotational degree of freedom between graphene layers via the simple prototype of the graphene twist bilayer, i.e., two layers rotated by some angle $\theta$. It is shown that, due to the weak interaction between graphene…

材料科学 · 物理学 2015-03-13 S. Shallcross , S. Sharma , E. Kandelaki , O. A. Pankratov

Magic-angle twisted bilayer graphene (TBG) with its flat bands provides a rich platform for exploring emergent electronic orders. Similarly, periodically buckled monolayer graphene has been proposed as a tunable alternative for realizing…

介观与纳米尺度物理 · 物理学 2025-10-16 Jannes van Poppelen , Annica M. Black-Schaffer
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