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Some interfaces between two different topologically ordered systems can be gapped. In earlier work it has been shown that such gapped interfaces can themselves be effective one dimensional topological systems that possess localized…

Strongly Correlated Electrons · Physics 2020-05-27 Julian May-Mann , Taylor L. Hughes

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

Graphene zigzag nanoribbons, initially in a topologically ordered state, undergo a topological phase transition into crossover phases distinguished by quasi-topological order. We computed mutual information for both the topologically…

Mesoscale and Nanoscale Physics · Physics 2023-10-24 In-Hwan Lee , Hoang-Anh Le , S. -R. Eric Yang

Localized interface states in abrupt semiconductor heterojunctions are studied within a tight-binding model. The intention is to provide a microscopic foundation for the results of similar studies which were based upon the two-band model…

Materials Science · Physics 2009-11-07 A. V. Kolesnikov , R. Lipperheide , U. Wille

Finite-length armchair graphene nanoribbons can behave as one dimensional topological materials, that may show edge states in their zigzag-terminated edges, depending on their width and termination. We show here a full solution of…

Mesoscale and Nanoscale Physics · Physics 2023-03-15 A. García-Fuente , D. Carrascal , G. Ross , J. Ferrer

Armchair graphene nanoribbons, when forming a superlattice, can be classified in different topological phases, with or without edge states. By means of tight-binding and classical molecular dynamics (MD) simulations, we studied the…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 E. Flores , Jose D. Mella , E. Aparicio , R. I. Gonzalez , C. Parra , E. M. Bringa , F. Munoz

The occurrence of superconducting and insulating phases is well-established in twisted graphene bilayers, and they have also been reported in other arrangements of graphene layers. We investigate three such arrangements: untwisted AB…

Strongly Correlated Electrons · Physics 2021-08-11 Pierre A. Pantaleon , Tommaso Cea , Rory Brown , Niels R. Walet , Francisco Guinea

Despite the fundamental importance of solid-solid transformations in many technologies, the microscopic mechanisms remain poorly understood. Here, we explore the atomistic mechanisms at the migrating interface during solid-solid phase…

Materials Science · Physics 2023-10-31 Yanyan Liang , Grisell Díaz Leines , Ralf Drautz , Jutta Rogal

Gated heterostructures containing bilayer graphene with staggered sublattice potentials are investigated by tight binding model with Rashba spin-orbital coupling and Hubbard interaction. The topological phase diagrams depend on the…

Mesoscale and Nanoscale Physics · Physics 2018-09-05 Ma Luo , Zhibing Li

We present a study by Scanning Tunneling Microscopy, supported by ab initio calculations, of the interaction between graphene and monolayer (semiconducting) PtSe$_2$ as a function of the twist angle ${\theta}$ between the two layers. We…

Mesoscale and Nanoscale Physics · Physics 2023-12-22 P. Mallet , F. Ibrahim , K. Abdukayumov , A. Marty , C. Vergnaud , F. Bonell , M. Chshiev , M. Jamet , J-Y. Veuillen

We investigate the evolution of a single unbounded interface between ordered phases in two-dimensional Ising ferromagnets that are endowed with single-spin-flip zero-temperature Glauber dynamics. We examine specifically the cases where the…

Statistical Mechanics · Physics 2009-11-10 P. L. Krapivsky , S. Redner , J. Tailleur

Different stacking sequences of graphene are investigated using a combination of experimental and theoretical methods. The high-resolution transmission electron microscopy (HRTEM) of the stacking sequence of several layers of graphene,…

Materials Science · Physics 2011-08-30 Jolanta Borysiuk , Jakub Sołtys , Jacek Piechota

Conventional three-dimensional crystal lattices are terminated by surfaces, which can demonstrate complex rebonding and rehybridisation, localised strain and dislocation formation. Two dimensional crystal lattices, of which graphene is the…

Mesoscale and Nanoscale Physics · Physics 2012-07-23 Viktoria V. Ivanovskaya , Philipp Wagner , Alberto Zobelli , Irene Suarez-Martinez , Abu Yaya , Christopher P. Ewels

We investigated on the interface modes in a heterostructure consisting of a semi-infinite metallic layer and a semi-infinite Fibonacci quasi-periodic structure. Various properties of the interface modes, such as their spatial localizations,…

Optics · Physics 2015-05-19 Xiao-Ning Pang , Jian-Wen Dong , He-Zhou Wang

We study vibrational states localized at the edges of graphene nanoribbons. Such surface oscillations can be considered as a phonon analog of Tamm states well known in the electronic theory. We consider both armchair and zigzag graphene…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Alexander V. Savin , Yuri S. Kivshar

Graphene-based multilayer systems serve as versatile platforms for exploring the interplay between electron correlation and topology, thanks to distinctive low-energy bands marked by significant quantum metric and Berry curvature from…

Strongly Correlated Electrons · Physics 2026-01-30 Niklas Witt , Siheon Ryee , Lennart Klebl , Jennifer Cano , Giorgio Sangiovanni , Tim O. Wehling

We consider the end states of a half-filled rectangular armchair graphene ribbon (RAGR) in a staggered potential. Taking electron-electron interactions into account we find that, as the strength of the staggered potential varies, three…

Mesoscale and Nanoscale Physics · Physics 2017-09-15 Y. H. Jeong , S. -R. Eric Yang

Bilayer graphene nanoribbon with zigzag edge is investigated with the tight binding model. Two stacking structures, alpha and beta, are considered. The band splitting is seen in the alpha structure, while the splitting in the wave number…

Mesoscale and Nanoscale Physics · Physics 2012-03-13 Kikuo Harigaya , Hiroshi Imamura

Topological interface states in one-dimensional superlattices provide spatially localized phonon modes protected by the topology of the underlying band structure. In GaAs/AlAs distributed Bragg reflectors (DBRs), such states can be…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 S. Sandeep , O. Colmegna , C. Xiang , E. R. Cardozo de Oliveira , K. Papatryfonos , M. Morassi , A. Lemaitre , N. D. Lanzillotti-Kimura

We develop a method to predict the existence of edge states in graphene ribbons for a large class of boundaries. This approach is based on the bulk-edge correspondence between the quantized value of the Zak phase Z(k), which is a Berry…

Mesoscale and Nanoscale Physics · Physics 2016-11-25 P. Delplace , D. Ullmo , G. Montambaux