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We consider the stability of fragile topological bands protected by space-time inversion symmetry in the presence of strong electron-electron interactions. At the single-particle level, the topological nature of the bands prevents the…

Strongly Correlated Electrons · Physics 2022-02-21 Ari M. Turner , Erez Berg , Ady Stern

The potential of graphene-based materials consisting of one or a few layers of graphite for integrated electronics originates from the large room-temperature carrier mobility in these systems (approx. 10,000 cm2/Vs). However, the…

Mesoscale and Nanoscale Physics · Physics 2007-12-04 Jeroen B. Oostinga , Hubert B. Heersche , Xinglan Liu , Alberto F. Morpurgo , Lieven M. K. Vandersypen

Recent experiments have demonstrated that neutral graphene sheets have an insulating ground state in the presence of an external magnetic field. We report on a $\pi$-band tight-binding-model Hartree-Fock calculation which examines the…

Mesoscale and Nanoscale Physics · Physics 2010-01-07 J. Jung , A. H. MacDonald

The competing ground states of bilayer graphene are studied by applying renormalization group techniques to a bilayer honeycomb lattice with nearest neighbor hopping. In the absence of interactions, the Fermi surface of this model at…

Mesoscale and Nanoscale Physics · Physics 2013-01-03 Kok Wee Song , Yung-Ching Liang , Stephan Haas

Low-energy electronic behavior in graphite crystals is highly dependent on the relative stacking arrangement of the constituent layers. Topologically non-trivial electronic states can arise due to interrupted rhombohedral (ABC) stacking,…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Luke Soneji , Simon Crampin , Marcin Mucha-Kruczynski

In graphene moir\'e superlattices, electronic interactions between layers are mostly hidden as band structures get crowded because of folding, making their interpretation cumbersome. Here, the evolution of the electronic band structure as a…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 Francisco Sanchez-Ochoa , Andres Botello-Mendez , Cecilia Noguez

The band structure of Bernal-stacked bilayer graphene can be tuned using double-gated transistors to apply a perpendicular electric field that generates an interlayer potential energy difference $\Delta$. Dielectric breakdown limits the…

Mesoscale and Nanoscale Physics · Physics 2026-01-28 Margherita Melegari , Brian Skinner , Ignacio Gutierrez-Lezama , Alberto F. Morpurgo

We study the mean-field broken symmetry phases of charge neutral multilayer rhombohedral graphene within tight-binding approximations including self-consistent extended Hubbard interactions. We used on-site and inter-site Hubbard…

Mesoscale and Nanoscale Physics · Physics 2025-09-29 Dongkyu Lee , Wooil Yang , Young-Woo Son , Jeil Jung

The unusual transport properties of graphene are the direct consequence of a peculiar bandstructure near the Dirac point. We determine the shape of the pi bands and their characteristic splitting, and the transition from a pure 2D to…

Materials Science · Physics 2007-05-23 Taisuke Ohta , Aaron Bostwick , J. L. McChesney , Thomas Seyller , Karsten Horn , Eli Rotenberg

Although not an intrinsic superconductor, it has been long--known that, when intercalated with certain dopants, graphite is capable of exhibiting superconductivity. Of the family of graphite--based materials which are known to superconduct,…

Superconductivity · Physics 2016-08-16 Gabor Csányi , P. B. Littlewood , A. H. Nevidomskyy , Chris J. Pickard , B. D. Simons

We estimate the strength of interaction-enhanced coherence between two graphene or topological insulator surface-state layers by solving imaginary-axis gap equations in the random phase approximation. Using a self-consistent treatment of…

Mesoscale and Nanoscale Physics · Physics 2012-05-23 Inti Sodemann , D. A. Pesin , A. H. MacDonald

We study the electronic structure of multilayer graphenes with a mixture of Bernal and rhombohedral stacking and propose a general scheme to understand the electronic band structure of an arbitrary configuration. The system can be viewed as…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Mikito Koshino , Edward McCann

We investigate gated multilayer graphene with stacking order change along the armchair direction. We consider some layers cracked to release shear strain at the stacking domain wall. The energy cones of graphene overlap along the…

Mesoscale and Nanoscale Physics · Physics 2024-03-19 Włodzimierz Jaskólski

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…

The effect of different stacking order of graphene multilayers on the electric field induced band gap is investigated. We considered a positively charged top and a negatively charged back gate in order to independently tune the band gap and…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 A. A. Avetisyan , B. Partoens , F. M. Peeters

Pairing interaction between fermionic particles leads to composite Bosons that condense at low temperature. Such condensate gives rise to long range order and phase coherence in superconductivity, superfluidity, and other exotic states of…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 J. I. A. Li , Q. Shi , Y. Zeng , K. Watanabe , T. Taniguchi , J. Hone , C. R. Dean

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

The electronic property of monolayer-bilayer hybrid graphene with a zigzag interface is studied by both the Dirac equation and numerical calculation. There are two types of zigzag interface stacks. The dispersion and local density of states…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Zi-Xiang Hu , Wenxin Ding

We present a theoretical study on the electron transmission through the AB-BA stacking boundary in multilayer graphene. Using the tight-binding model and the transfer matrix method, we calculate the electron transmission probability through…

Materials Science · Physics 2015-08-05 Nguyen N. T. Nam , Mikito Koshino

$\alpha$-graphyne is a two-dimensional sheet of $sp$-$sp^2$ hybridized carbon atoms in a honeycomb lattice. While the geometrical structure is similar to that of graphene, the hybridized triple bonds give rise to electronic structure that…

Materials Science · Physics 2017-08-04 Hyeondeok Shin , Jeongnim Kim , Hoonkyung Lee , Olle Heinonen , Anouar Benali , Yongkyung Kwon