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Related papers: Periodic Behavior of Topology in Graphene with Nan…

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The nontrivial band topology for graphene with regular arrays of nanoholes with $C_{6v}$ symmetry is investigated theoretically. For the case of $3\sqrt{3} \times 3\sqrt{3}$ triangular array of nanoholes, we find an energy gap at $\Gamma$…

Mesoscale and Nanoscale Physics · Physics 2026-05-18 Yong-Cheng Jiang , Xing-Xiang Wang , Xiao Hu

Triangular and honeycomb lattices are dual to each other -- if we puncture holes into a featureless plane in a regular triangular alignment, the remaining body looks like a honeycomb lattice, and vice versa, if the holes are in a regular…

Mesoscale and Nanoscale Physics · Physics 2018-11-21 Toshikaze Kariyado , Yongcheng Jiang , Hongxin Yang , Xiao Hu

Motivated by the indications of high-Tc superconductivity in natural graphite enriched in the rhombohedral phase, we study the band structure of several stacking configurations that combine two of the three graphite structures as well as…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 R. Weht , A. A. Aligia , M. Nunez-Regueiro

The structure of finite-area topological defects in graphene is described in terms of both the direct honeycomb lattice and its dual triangular lattice. Such defects are equivalent to cutting out a patch of graphene and replacing it with a…

Materials Science · Physics 2012-03-09 Eric Cockayne

Graphene lacks an intrinsic band-gap, which limits its use in electronic applications. Here we demonstrate that periodic arrays of topological defects can open and control a band-gap in a predictable manner governed by defect spacing and…

We study the emergence of electronic non-trivial topological flat bands in time-periodically driven strained graphene within a tight binding approach based on the Floquet formalism. In particular, we focus on uniaxial spatially periodic…

Mesoscale and Nanoscale Physics · Physics 2017-04-03 Pedro Roman-Taboada , Gerardo G. Naumis

Graphene, a two dimensional (2D) carbon sheet, acquires many of its amazing properties from the Dirac point nature of its electronic structures with negligible spin-orbit coupling. Extending to 3D space, graphene networks with negative…

Mesoscale and Nanoscale Physics · Physics 2015-07-09 Hongming Weng , Yunye Liang , Qiunan Xu , Rui Yu , Zhong Fang , Xi Dai , Yoshiyuki Kawazoe

Equilateral triangle-shaped graphene nanoislands with a lateral dimension of $n$ benzene rings are known as $[n]$triangulenes. Individual $[n]$triangulenes are open-shell molecules, with single-particle electronic spectra that host $n-1$…

Mesoscale and Nanoscale Physics · Physics 2023-09-13 R. Ortiz , G. Catarina , J. Fernández-Rossier

Flat bands in graphitic materials emerged as a platform for realizing tunable correlated physics. As a nodal-line semimetal, rhombohedral graphite features flat drumhead surface states in the vicinity of the Dirac points, which carry a…

Mesoscale and Nanoscale Physics · Physics 2025-12-24 Xiaoqian Liu , Yifei Guan , Oleg V. Yazyev

Rhombohedral multilayer graphene has emerged as an extraordinary platform for investigating exotic quantum states, such as superconductivity and fractional quantum anomalous Hall effects, mainly due to the existence of topological surface…

Mesoscale and Nanoscale Physics · Physics 2025-03-18 H. B. Xiao , C. Chen , X. Sui , S. H. Zhang , M. Z. Sun , H. Gao , Q. Jiang , Q. Li , L. X. Yang , M. Ye , F. Y. Zhu , M. X. Wang , J. P. Liu , Z. B. Zhang , Z. J. Wang , Y. L. Chen , K. H. Liu , Z. K. Liu

Honeycomb lattice can support electronic states exhibiting Dirac energy dispersion, with graphene as the icon. We propose to derive nontrivial topology by grouping six neighboring sites of honeycomb lattice into hexagons and enhancing the…

Mesoscale and Nanoscale Physics · Physics 2016-04-19 Long-Hua Wu , Xiao Hu

Electronic structures of graphene sheet with different defective patterns are investigated, based on the first principles calculations. We find that defective patterns can tune the electronic structures of the graphene significantly.…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 H. Y. He , Y. Zhang , B. C. Pan

Topological flat bands have gained extensive interest as a platform for exploring the interplay between nontrivial band topology and correlation effects. In recent studies, strongly correlated phenomena originating from a topological flat…

Mesoscale and Nanoscale Physics · Physics 2025-04-25 Sogen Ikegami , Kiyu Fukui , Shun Okumura , Yasuyuki Kato , Yukitoshi Motome

In great contrast to the numerous discoveries of superconductivity in layer-stacked graphene systems, the absence of superconductivity in the simplest and cleanest monolayer graphene remains a big puzzle. Here, through realistic computation…

Superconductivity · Physics 2024-09-30 Xinyao Zhang , Ruoshi Jiang , Xingchen Shen , Xiaomo Huang , Qing-Dong Jiang , Wei Ku

A variety of exotic quantum phases of matter have been created by Van der Waals heterostructures. Moreover, these twisted heterostructures provide a feasible way of braiding correlation effect and nontrivial band topology together. Here,…

The honeycomb lattice sets the basic arena for numerous ideas to implement electronic, photonic, or phononic topological bands in (meta-)materials. Novel opportunities to manipulate Dirac electrons in graphene through band engineering arise…

Mesoscale and Nanoscale Physics · Physics 2019-10-29 Tobias M. R. Wolf , Oded Zilberberg , Ivan Levkivkskyi , Gianni Blatter

The topological properties of electronic edge states in time-periodically driven spatially-periodic corrugated zigzag graphene nanoribbons are studied. An effective one-dimensional Hamiltonian is used to describe the electronic properties…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 Pedro Roman-Taboada , Gerardo G. Naumis

We report the emergence of electronic edge states in time-periodically driven strained armchair terminated graphene nanoribbons. This is done by considering a short-pulse spatial-periodic strain field. Then, the tight-binding Hamiltonian of…

Mesoscale and Nanoscale Physics · Physics 2017-10-18 Pedro Roman-Taboada , Gerardo G. Naumis

We elaborate that single-layer graphene with periodic vacancies can have a band structure containing nodal lines or nodal loops, opening the possibility of graphene-based electronic or spintronic devices with novel functionalities. The…

Mesoscale and Nanoscale Physics · Physics 2022-05-30 Matheus S. M. de Sousa , Fujun Liu , Mariana Malard , Fanyao Qu , Wei Chen

Suspended graphene is difficult to image by scanning probe microscopy due to the inherent van-der-Waals and dielectric forces exerted by the tip which are not counteracted by a substrate. Here, we report scanning tunneling microscopy data…

Mesoscale and Nanoscale Physics · Physics 2016-11-21 A. Georgi , P. Nemes-Incze , B. Szafranek , D. Neumaier , V. Geringer , M. Liebmann , M. Morgenstern
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