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We derive a way to diagnose band topology for graphene with triangular and/or honeycomb array of nanoholes directly from the lattice constant of superstructure $m\sqrt{3}\times m\sqrt{3}$ with integer $m$. Taking into account the $C_{6v}$…

Mesoscale and Nanoscale Physics · Physics 2026-05-15 Yong-Cheng Jiang , Xing-Xiang Wang , 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

Flat bands play an important role in the study of strongly correlated phenomena, such as ferromagnetism, superconductivity, and fractional quantum Hall effect. Here we report direct experimental evidence for the presence of flat bands,…

Mesoscale and Nanoscale Physics · Physics 2012-09-28 Lei Feng , Xianqing Lin , Lan Meng , Jia-Cai Nie , Jun Ni , Lin He

We investigated the electronic structure, Fermi surface topology and the emergence of valley imbalance in rhombohedral trilayer graphene (RTG) induced by the topological proximity and the electric fields. We show that, a strong proximity…

Mesoscale and Nanoscale Physics · Physics 2025-10-30 Sovan Ghosh , Bheema Lingam Chittari

Graphene is a two-dimensional Dirac semimetal showing interesting properties as a result of its dispersion relation with both quasiparticles and quasiholes or matter and anti-matter. We introduce a topological nodal ring semimetal in…

Mesoscale and Nanoscale Physics · Physics 2023-05-03 Karyn Le Hur , Sariah Al Saati

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

Breaking inversion symmetry in chiral graphene systems, \textit{e.g.}, by applying a perpendicular electric field in chirally-stacked rhombohedral multilayer graphene or by introducing staggered sublattice potentials in monolayer graphene,…

Mesoscale and Nanoscale Physics · Physics 2016-01-29 Xintao Bi , Jeil Jung , Zhenhua Qiao

The lower-symmetry trilayer AAB-stacked graphene exhibits rich electronic properties and thus diverse Coulomb excitations. Three pairs of unusual valence and conduction bands create nine available interband excitations for the undoped case,…

Materials Science · Physics 2018-12-05 Chiun-Yan Lin , Bor-Luen Huang , Godfrey Gumbs , Ming-Fa Lin

We develop a general theoretical framework based on $Z$-classification to count the number of topological bound states at a junction of chiral-symmetric one-dimensional systems. The formulation applies to general multiway junctions composed…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Gen Tamaki , Takuto Kawakami , Mikito Koshino

Rhombohedral $N = 3$ trilayer graphene on hexagonal boron nitride (TLG/BN) hosts gate-tunable, valley-contrasting, nearly flat topological bands that can trigger spontaneous quantum Hall phases under appropriate conditions of the valley and…

Mesoscale and Nanoscale Physics · Physics 2021-04-21 David Andres Galeano Gonzalez , Bheema Lingam Chittari , Youngju Park , Jin-Hua Sun , Jeil Jung

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

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

We investigate the effect of topological defects on the transport properties of a narrow ballistic ribbon of graphene with zigzag edges. Our results show that the longitudinal conductance vanishes at several discrete Fermi energies where…

Mesoscale and Nanoscale Physics · Physics 2008-10-11 Yan-Yang Zhang , Jiang-Ping Hu , B. A. Bernevig , X. R. Wang , X. C. Xie , W. M. Liu

We report on the energy level alignment evolution of valence and conduction bands of armchair-oriented graphene nanoribbons (aGNR) as their band gap shrinks with increasing width. We use 4,4-dibromo-para-terphenyl as molecular precursor on…

We demonstrate the possibility of topological states for non-Dirac electrons. Specifically it is shown that, because of the $C_{\rm 3}$ crystal symmetry and time reversal symmetry, $p_x$ and $p_y$ orbits accommodated on triangular lattice…

Mesoscale and Nanoscale Physics · Physics 2016-02-03 Qi-Feng Liang , Rui Yu , Jian Zhou , Xiao Hu

Graphene is a famous truly two-dimensional (2D) material, possessing a cone-like energy structure near the Fermi level and treated as a gapless semiconductor. Its unique properties trigger researchers to find applications of it. The gapless…

Materials Science · Physics 2024-02-22 Wei-Bang Li , Kuang-I Lin , Yu-Ming Wang , Hsien-Ching Chung , Ming-Fa Lin

Topological semimetals is a new class of condensed matter systems with nontrivial electronic structure topology. Their unusual observable properties may often be understood in terms of quantum anomalies. In particular, Weyl and Dirac…

Mesoscale and Nanoscale Physics · Physics 2018-04-06 A. A. Burkov

Systematic tight-binding investigations of the electronic spectra (as a function of the magnetic field) are presented for trigonal graphene nanoflakes with reconstructed zigzag edges, where a succession of pentagons and heptagons, that is…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 Igor Romanovsky , Constantine Yannouleas , Uzi Landman

We studied formation of charge density wave between valleys in a system with a double-well-like dispersive valence band relevant for the rhombohedral graphene trilayer. In a regime with 2 Fermi surfaces, electron- and hole-like: one of…

Strongly Correlated Electrons · Physics 2025-09-16 Igor V. Blinov

The physics of massless relativistic quantum particles has recently arisen in the electronic properties of solids following the discovery of graphene. Around the accidental crossing of two energy bands, the electronic excitations are…

Mesoscale and Nanoscale Physics · Physics 2015-10-21 Thibaud Louvet , Pierre Delplace , Andrei A. Fedorenko , David Carpentier
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