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Pristine bilayer graphene behaves in some instances as an insulator with a transport gap of a few meV. This behaviour has been interpreted as the result of an intrinsic electronic instability induced by many-body correlations. Intriguingly,…

Mesoscale and Nanoscale Physics · Physics 2014-04-29 P. San-Jose , R. V. Gorbachev , A. K. Geim , K. S. Novoselov , F. Guinea

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

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

Generalized honeycomb-structured materials have received increasing attention due to their novel topological properties. In this article, we investigate zero-energy edge states in tight-binding models for such materials with two different…

Spectral Theory · Mathematics 2025-04-15 Borui Miao , Yi Zhu

Using a numerical tight-binding approach based on the Chebyshev-Bogoliubov-de Gennes method we describe Josephson junctions made of multilayer graphene contacted by top superconducting gates. Both Bernal (ABA) and rhombohedral (ABC)…

Superconductivity · Physics 2014-01-20 W. A. Munoz , L. Covaci , F. M. Peeters

Experiments in gated bilayer graphene with stacking domain walls present topological gapless states protected by no-valley mixing. Here we research these states under gate voltages using atomistic models, which allow us to elucidate their…

Mesoscale and Nanoscale Physics · Physics 2018-11-14 W. Jaskólski , M. Pelc , Garnett W. Bryant , Leonor Chico , A. Ayuela

Minimally twisted bilayer graphene in the presence of an interlayer bias develops a triangular network of valley chiral modes that propagate along the $AB/BA$ interfaces and scatter at the $AA$ regions. The low energy physics of the…

Mesoscale and Nanoscale Physics · Physics 2023-12-07 P. Wittig , F. Dominguez , C. De Beule , P. Recher

The evolution of electronic structure of graphene nanoribbons (GNRs) as a function of the number of layers stacked together is investigated using \textit{ab initio} density functional theory (DFT) including interlayer van der Waals…

Materials Science · Physics 2011-10-28 Neerav Kharche , Yu Zhou , Kevin P. O'Brien , Swastik Kar , Saroj K. Nayak

Topological phononic crystals (PCs) are periodic artificial structures which can support nontrivial acoustic topological bands, and their topological properties are linked to the existence of topological edge modes. Most previous studies…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Degang Zhao , Meng Xiao , C. W. Ling , C. T. Chan , Kin Hung Fung

First-principles density functional calculations are performed in C-BN heterojunctions. It is shown that the magnetism of the edge states in zigzag shaped graphene strips and polarity effects in BN strips team up to give a spin asymmetric…

Materials Science · Physics 2012-10-22 J. M. Pruneda

Topological phases of matter give rise to exotic physics that can be leveraged for next generation quantum computation and spintronic devices. Thus, the search for topological phases and the quantum states that they exhibit have become the…

In tetralayer graphene, three inequivalent layer stackings should exist, however, only rhombohedral (ABCA) and Bernal (ABAB) stacking have so far been observed. The three stacking sequences differ in their electronic structure, with the…

With the help of the quantum chemistry methods we have investigated the nature of interlayer interactions between graphene fragments in different stacking arrangements (AA and AB). We found that the AB stacking pattern as the ground state…

Mesoscale and Nanoscale Physics · Physics 2011-07-27 Julia Berashevich , Tapash Chakraborty

We report on the transport properties of ABC and ABA stacked trilayer graphene using dual, locally gated field effect devices. The high efficiency and large breakdown voltage of the HfO2 top and bottom gates enables independent tuning of…

Mesoscale and Nanoscale Physics · Physics 2013-02-15 K. Zou , Fan Zhang , C. Clapp , A. H. MacDonald , J. Zhu

Topological interface states in periodic lattices have emerged as valuable assets in the fields of electronics, photonics, and phononics, owing to their inherent robustness against disorder. Unlike electronics and photonics, the linear…

Multilayer graphene lattices allow for an additional tunability of the band structure by the strong perpendicular electric field. In particular, the emergence of the new multiple Dirac points in ABA stacked trilayer graphene subject to…

Mesoscale and Nanoscale Physics · Physics 2020-06-11 Peng Rao , Maksym Serbyn

We present a systematic and rigorous analytical approach, based on the transfer matrix methodology, to study the existence, evolution, and robustness of subwavelength topological interface states in practical multilayered vibroacoustic…

Applied Physics · Physics 2024-10-07 Majdi O. Gzal , Joshua R. Tempelman , Kathryn H. Matlack , Alexander F. Vakakis

We use ab initio density functional calculations to determine the interaction of a graphene monolayer with the Si(111) surface. We found that graphene forms strong bonds to the bare substrate and accommodates the 12% lattice mismatch by…

Materials Science · Physics 2015-06-15 Ceren Tayran , Zhen Zhu , Matteo Baldoni , Daniele Selli , Gotthard Seifert , David Tománek

The coherent, interlayer resistance of a misoriented, rotated interface between two stacks of AB graphite is determined for a variety of misorientation angles. The quantum-resistance of the ideal AB stack is on the order of 1 to 10 m$\Omega…

Mesoscale and Nanoscale Physics · Physics 2014-08-27 K. M. Masum Habib , Somaia S. Sylvia , Supeng Ge , Mahesh Neupane , Roger K. Lake

We demonstrate that an undoped two-dimensional carbon plane (graphene) whose bulk is in the integer quantum Hall regime supports a non-chiral Luttinger liquid at an armchair edge. This behavior arises due to the unusual dispersion of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 H. A. Fertig , Luis Brey
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