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We use a simple tight-binding (TB) model to study electronic properties of free graphene flakes. Valence electrons of triangular graphene flakes show a shell and supershell structure which follows an analytical expression derived from the…

原子与分子团簇 · 物理学 2009-11-13 M. Manninen , H. P. Heiskanen , J. Akola

Recently, the quantum spin-Hall edge channels of two-dimensional colloidal nanocrystals of the topological insulator Bi$_2$Se$_3$ were observed directly. Motivated by this development, we reconsider the four-band effective model which has…

介观与纳米尺度物理 · 物理学 2024-03-29 Lucas Maisel Licerán , Sebastiaan Koerhuis , Daniel Vanmaekelbergh , Henk Stoof

We show that rhombohedral four-layer graphene (4LG) nearly aligned with a hexagonal boron nitride (hBN) substrate often develops nearly flat isolated low energy bands with non-zero valley Chern numbers. The bandwidths of the isolated…

介观与纳米尺度物理 · 物理学 2023-11-28 Youngju Park , Yeonju Kim , Bheema Lingam Chittari , Jeil Jung

Graphene nanoribbons (GNRs) possess distinct symmetry-protected topological phases. We show, through first-principles calculations, that by applying an experimentally accessible transverse electric field (TEF), certain boron and nitrogen…

介观与纳米尺度物理 · 物理学 2021-10-25 Fangzhou Zhao , Ting Cao , Steven G. Louie

An exact mapping of the tight-binding Hamiltonian for a graphene's nanoribbon under any armchair uniaxial strain into an effective one-dimensional system is presented. As an application, for a periodic modulation we have found a gap opening…

介观与纳米尺度物理 · 物理学 2015-04-27 Pedro Roman-Taboada , Gerardo G. Naumis

The interplay between non-trivial topology and strong electron interaction can generate a variety of exotic quantum matter. Here we theoretically propose that monolayer transition metal trihalides MoF$_3$ and W$X_3$ ($X$= Cl, Br, I) have…

介观与纳米尺度物理 · 物理学 2025-05-28 Kejie Bao , Huan Wang , Jiaxuan Guo , Yadong Jiang , Haosheng Xu , Jing Wang

Topological semimetals are a new class of metallic materials, which exist at band fillings that ordinarily correspond to insulators or compensated accidental semimetals with zero Luttinger volume. Their metallicity is a result of nontrivial…

强关联电子 · 物理学 2021-11-05 Lei Gioia , Chong Wang , A. A. Burkov

Semimetals exhibit intriguing characteristics attributed to the coexistence of both electrons and holes. In rhombohedral multilayer graphene, a strong trigonal warping effect gives rise to a semi-metallic state near the Fermi surface,…

介观与纳米尺度物理 · 物理学 2026-02-24 Jing Ding , Hanxiao Xiang , Naitian Liu , Wenqiang Zhou , Xinjie Fang , Zhangyuan Chen , Le Zhang , Kenji Watanabe , Takashi Taniguchi , Shuigang Xu

Topological materials ranging from topological insulators to semimetals host many novel quantum phenomena including quantum spin Hall effect and topological Fermi arcs. Transitions between these topological phases have attracted much…

介观与纳米尺度物理 · 物理学 2026-04-21 Changcang Qiao , Chen-Chia Hsu , Tao Zhang , Zhiming Sun , Dong Qian , Yang-hao Chan , Peng Chen

Valley-dependent topological physics offers a promising avenue for designing nanoscale devices based on gapless single-layer graphene. To demonstrate this potential, we investigate an electrical bias-controlled topological discontinuity in…

介观与纳米尺度物理 · 物理学 2026-01-26 Zheng-Han Huang , Jing-Yuan Lai , Yu-Shu G. Wu

We show that in a two-dimensional electron gas with an annular Fermi surface, long-range Coulomb interactions can lead to unconventional superconductivity by the Kohn-Luttinger mechanism. Superconductivity is strongly enhanced when the…

超导电性 · 物理学 2021-12-15 Areg Ghazaryan , Tobias Holder , Maksym Serbyn , Erez Berg

The unconventional properties of graphene, with a massless Dirac band dispersion and large coherence properties, have raised a large interest for applications in nanoelectronics. In this work, we emphasize that graphene two dimensional…

介观与纳米尺度物理 · 物理学 2008-08-27 Pierre Darancet , Valerio Olevano , Didier Mayou

Depositing Au on a graphene derivate, which involves substituting four C atoms with three N atoms in a $3\times 3$ cell graphene, we realized a topological insulator of the Kane-Mele model with a gap of 50~meV surrounding the Dirac point of…

介观与纳米尺度物理 · 物理学 2017-08-03 Jie-Xiang Yu , J. G. Che

The existence of three fold rotational, mirror and time reversal symmetries often give rise to the triply degenerate nodal point (TP) in the band structure of a material. Based on point group symmetry analysis and first principle electronic…

材料科学 · 物理学 2019-01-30 C. K. Barman , Chiranjit Mondal , Biswarup Pathak , Aftab Alam

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…

介观与纳米尺度物理 · 物理学 2019-10-29 Tobias M. R. Wolf , Oded Zilberberg , Ivan Levkivkskyi , Gianni Blatter

We show that, if graphene is subjected to the potential from an external superlattice, a band gap develops at the Dirac point provided the superlattice potential has broken inversion symmetry. As a numerical example, we calculate the band…

介观与纳米尺度物理 · 物理学 2015-05-13 Rakesh P Tiwari , D. Stroud

We study the electronic structure of the junctions between a single graphene layer and carbon nanotubes, using a tight-binding model and the continuum theory based on Dirac fermion fields. The latter provides a unified description of…

介观与纳米尺度物理 · 物理学 2013-05-29 J. Gonzalez , F. Guinea , J. Herrero

To date, almost all of the discussions on topological insulators (TIs) have focused on two- and three-dimensional systems. One-dimensional (1D) TIs manifested in real materials, in which localized spin states may exist at the end or near…

介观与纳米尺度物理 · 物理学 2018-10-18 Kuan-Sen Lin , Mei-Yin Chou

A DFT-based investigation of rhombohedral (ABC)-type graphene stacks in finite static electric fields is presented. Electronic band structures and field-induced charge densities are compared with related literature data as well as with own…

材料科学 · 物理学 2015-05-28 Ruijuan Xiao , F. Tasnádi , K. Koepernik , J. W. F. Venderbos , M. Richter , M. Taut

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,…

介观与纳米尺度物理 · 物理学 2026-04-14 Luke Soneji , Simon Crampin , Marcin Mucha-Kruczynski