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Close to charge neutrality, the low-energy properties of high-quality suspended devices based on atomically thin graphene layers are determined by electron-electron interactions. Bernal-stacked layers, in particular, have shown a remarkable…

Strongly Correlated Electrons · Physics 2016-10-20 Youngwoo Nam , Dong-Keun Ki , Mikito Koshino , Edward McCann , Alberto F. Morpurgo

We calculate the electronic band structure of ABA-stacked trilayer graphene in the presence of external gates, using a self-consistent Hartree approximation to take account of screening. In the absence of a gate potential, there are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Mikito Koshino , Edward McCann

While preserving many of the unusual features of single-layer graphene, few-layer graphene (FLG) provides a richness and flexibility of electronic structure that render this set of materials of great interest for both fundamental studies…

Mesoscale and Nanoscale Physics · Physics 2009-08-04 Kin Fai Mak , Matthew Y. Sfeir , James A. Misewich , Tony F. Heinz

A transfer matrix approach to study ballistic charge transport in few-layer graphene with chiral-symmetric stacking configurations is developed. We demonstrate that the chiral symmetry justifies a non-Abelian gauge transformation at the…

Mesoscale and Nanoscale Physics · Physics 2010-03-12 W. -R. Hannes , M. Titov

Electronic properties of bilayer graphene are distinct from both the conventional two dimensional electron gas and monolayer graphene due to its particular chiral properties and excitation charge carrier dispersions. We study the effect of…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Habib Rostami , Reza Asgari

This paper presents a novel analytical model for chiral multi-layer waveguides incorporating graphene sheets. The general structure is composed of various chiral layers, where a graphene sheet has been sandwiched between two adjacent chiral…

Stacked two dimensional electron systems in transverse magnetic fields exhibit three dimensional fractional quantum Hall phases. We analyze the simplest such phases and find novel bulk properties, e.g., irrational braiding. These phases…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. D. Naud , Leonid P. Pryadko , S. L. Sondhi

Ferroelectricity (Valasek, J. Phys. Rev. 1921, 17, 475) - a spontaneous formation of electric polarisation - is a solid state phenomenon, usually, associated with ionic compounds or complex materials. Here we show that, atypically for…

Materials Science · Physics 2023-05-29 Aitor Garcia-Ruiz , Vladimir Enaldiev , Andrew McEllistrim , Vladimir I. Fal'ko

Unlike regular electron spin, the pseudospin degeneracy of Fermi points in graphene does not couple directly to magnetic field. Therefore, graphene provides a natural vehicle to observe the integral and fractional quantum Hall physics in an…

Strongly Correlated Electrons · Physics 2009-11-11 Csaba Toke , Paul E. Lammert , Jainendra K. Jain , Vincent H. Crespi

The so called quantum spin Hall phase is a topologically non trivial insulating phase that is predicted to appear in graphene and graphene-like systems. In this work we address the question of whether this topological property persists in…

Mesoscale and Nanoscale Physics · Physics 2015-07-08 N. A. Garcia-Martinez , J. L. Lado , J. Fernandez-Rossier

We consider bilayer graphene in the presence of spin orbit coupling, to assess its behavior as a topological insulator. The first Chern number $n$ for the energy bands of single and bilayer graphene is computed and compared. It is shown…

Mesoscale and Nanoscale Physics · Physics 2011-07-18 E. Prada , P. San-Jose , L. Brey , H. A. Fertig

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…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 E. J. Mele

Charge carriers in bilayer graphene occupy two parabolic continua of electron-like and hole-like states which differ by the alignment between carrier pseudospin and its momentum, the property known as chirality. Due to chirality…

Mesoscale and Nanoscale Physics · Physics 2015-06-10 A. V. Shytov

Bilayer graphene is a recently isolated and intriguing class of many-body systems with massive chiral quasiparticles. We present theoretical results for the electronic compressibility of bilayer graphene that are based on a four-band…

Mesoscale and Nanoscale Physics · Physics 2010-10-06 Giovanni Borghi , Marco Polini , Reza Asgari , A. H. MacDonald

Chirality, a fundamental concept from biological molecules to advanced materials, is prevalent in nature. Yet, its intricate behavior in specific topological systems remains poorly understood. Here, we investigate the emergence of hidden…

Mesoscale and Nanoscale Physics · Physics 2023-11-17 Seung-Gyo Jeong , Sang-Hoon Han , Tae-Hwan Kim , Sangmo Cheon

We study the electronic structure of alternating-twist tetralayer graphene, especially near its magic angle $\theta = 1.75^\circ$, for different AA, AB, and SP sliding geometries at their middle interface that divides two twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2024-09-30 Kyungjin Shin , Jiseon Shin , Yoonsung Lee , Hongki Min , Jeil Jung

We construct a two-channel scattering model for the triangular network of valley Hall states in interlayer-biased minimally twisted bilayer graphene from symmetry arguments and investigate electronic transport in a four-terminal setup. In…

Mesoscale and Nanoscale Physics · Physics 2021-11-10 Christophe De Beule , Fernando Dominguez , Patrik Recher

Electron edge states in graphene in the Quantum Hall effect regime can carry both charge and spin. We show that spin splitting of the zeroth Landau level gives rise to counterpropagating modes with opposite spin polarization. These chiral…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 D. A. Abanin , P. A. Lee , L. S. Levitov

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

Graphene is a two-dimensional (2D) semimetal with high mobility in charge carriers due to the existence of Dirac points. Silicene is another promising material, with properties analog to graphene. Many silicon (Si) based electronic devices…

Materials Science · Physics 2021-09-07 K M Abeywickrama , P K D D P Pitigala , W W P De Silva