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We employed graphene as a patternable template to protect the intrinsic surface states of thin films of topological insulators (TIs) from environment. Here we find that the graphene provides high-quality interface so that the Shubnikov de…

We prove that that if the boundary of a topological insulator divides the plane in two regions containing arbitrarily large balls, then it acts as a conductor. Conversely, we show that topological insulators that fit within strips do not…

Mathematical Physics · Physics 2023-11-03 Alexis Drouot , Xiaowen Zhu

The electronic transport properties of graphene-based superlattice structures are investigated. A graphene-based modulation-doped superlattice structure geometry is proposed and consist of periodically arranged alternate layers:…

Mesoscale and Nanoscale Physics · Physics 2013-11-25 Dima Bolmatov , Chung-Yu Mou

Existence of robust edge modes at interfaces of topologically dissimilar systems is one of the most fascinating manifestations of a novel nontrivial state of matter, topological insulators. Such electronic states were originally predicted…

We derive a model of localized edge states in the finite width strip for two-dimensional electron gas formed in the hybrid system of bismuth monolayer deposited on the silicon interface and described by the nearly-free electron model with…

Mesoscale and Nanoscale Physics · Physics 2014-04-09 D. V. Khomitsky , A. A. Chubanov

In this document we explore graphene, a two-dimensional material with remarkable properties. We center our discussion around its electronic characteristics and their applications. We begin by giving a simple electronic model which will then…

Mesoscale and Nanoscale Physics · Physics 2024-02-02 Anthony Gerges Geha , Yago aguado , Modou B. Nadiaye

Isolated, atomically thin conducting membranes of graphite, called graphene, have recently been the subject of intense research with the hope that practical applications in fields ranging from electronics to energy science will emerge.…

Mesoscale and Nanoscale Physics · Physics 2010-09-17 S. Garaj , W. Hubbard , A. Reina , J. Kong , D. Branton , J. A. Golovchenko

We present a detailed study of the electronic and spin-orbit properties of single and bilayer graphene in proximity to the topological insulator Bi$_2$Se$_3$. Our approach is based on first-principles calculations, combined with symmetry…

Mesoscale and Nanoscale Physics · Physics 2019-10-30 Klaus Zollner , Jaroslav Fabian

Graphene-based nanostructures exhibit a vast range of exciting electronic properties that are absent in extended graphene. For example, quantum confinement in carbon nanotubes and armchair graphene nanoribbons (AGNRs) leads to the opening…

Graphene and topological insulators (TI) possess two-dimensional Dirac fermions with distinct physical properties. Integrating these two Dirac materials in a single device creates interesting opportunities for exploring new physics of…

Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator, but have protected conducting states on their edge or surface. The 2D topological insulator is a quantum spin Hall insulator, which is a…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 M. Z. Hasan , C. L. Kane

Enhancing the spin-orbit interaction in graphene, via proximity effects with topological insulators, could create a novel 2D system that combines nontrivial spin textures with high electron mobility. In order to engineer practical…

Mesoscale and Nanoscale Physics · Physics 2018-06-11 Kenan Song , David Soriano , Aron W. Cummings , Roberto Robles , Pablo Ordejon , Stephan Roche

By considering the continuous model for graphene, we analytically study a special gauge field for the edge state. The gauge field explains the properties of the edge state such as the existence only on the zigzag edge, the partial…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ken-ichi Sasaki , Shuichi Murakami , Riichiro Saito

Topological insulator is a new state of matter which exhibits exotic surface electronic properties. Determining the spin texture of this class of material is of paramount importance for understanding its topological order and can lead to…

Strongly Correlated Electrons · Physics 2016-09-21 Debabrata Sinha

Bilayer silicene has richer physical properties than bilayer graphene due to its buckled structure together with its trigonal symmetric structure. The buckled structure arises from a large ionic radius of silicon, and the trigonal symmetry…

Mesoscale and Nanoscale Physics · Physics 2012-10-01 Motohiko Ezawa

The present study explores the edge states in a finite-width graphene ribbon and a semi-infinite geometry subject to a perpendicular magnetic field and an in-plane electric field, applied perpendicular to a zigzag edge. To accomplish this,…

Mesoscale and Nanoscale Physics · Physics 2023-04-17 A. A. Herasymchuk , S. G. Sharapov , V. P. Gusynin

We investigate the electronic and transport properties of gated bilayer graphene with one corrugated layer, which results in a stacking AB/BA boundary. When a gate voltage is applied to one layer, topologically protected gap states appear…

Materials Science · Physics 2015-09-30 M. Pelc , W. Jaskólski , A. Ayuela , L. Chico

First principles calculations are used to establish that the electronic structure of graphene ribbons with zig-zag edges is unstable with respect to magnetic polarisation of the edge states. The magnetic interaction between edge states is…

Materials Science · Physics 2015-06-25 L. Pisani , J. A. Chan , B. Montanari , N. M. Harrison

The appearance of topologically protected states at the surface of an ordinary insulator is a rare occurrence and to date only a handful of materials are known for having this property. An intriguing question concerns the possibility of…

Mesoscale and Nanoscale Physics · Physics 2014-07-16 Igor Popov , Mauro Mantega , Awadhesh Narayan , Stefano Sanvito

This brief review discusses electronic properties of mesoscopic graphene-based structures. These allow controlling the confinement and transport of charge and spin; thus, they are of interest not only for fundamental research, but also for…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 A. V. Rozhkov , G. Giavaras , Yury P. Bliokh , Valentin Freilikher , Franco Nori