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We construct Sierpinski-carpet (SC) based on AA or AB bilayer graphene by atom vacancies, namely, SC-AA and SC-AB, to investigate the effects of interlayer coupling on the electronic properties of fractals. Compared with monolayer graphene…

介观与纳米尺度物理 · 物理学 2024-04-18 Xiaotian Yang , Weiqing Zhou , Qi Yao , Yunhai Li , Yunhua Wang , Shengjun Yuan

Recent advances in nanofabrication methods have made it possible to create complex two-dimensional artificial structures, such as fractals, where electrons can be confined. The optoelectronic and plasmonic properties of these exotic quantum…

介观与纳米尺度物理 · 物理学 2018-01-03 Edo van Veen , Andrea Tomadin , Marco Polini , Mikhail I. Katsnelson , Shengjun Yuan

Recent progress in the design and fabrication of artificial two-dimensional (2D) materials paves the way for the experimental realization of electron systems moving on plane fractals. In this work, we present the results of computer…

介观与纳米尺度物理 · 物理学 2016-03-30 Edo van Veen , Andrea Tomadin , Mikhail I. Katsnelson , Shengjun Yuan , Marco Polini

As an emerging complex two-dimensional structure, plane fractal has attracted much attention due to its novel dimension-related physical properties. In this paper, we check the feasibility to create an effective Sierpinski carpet (SC), a…

介观与纳米尺度物理 · 物理学 2021-03-25 Xiaotian Yang , Weiqing Zhou , Peiliang Zhao , Shengjun Yuan

The Sierpinski Triangle (ST) is a fractal mathematical structure that has been used to explore the emergence of flat bands in lattices of different geometries and dimensions in condensed matter. Here we look into fractal features in the…

介观与纳米尺度物理 · 物理学 2024-11-08 L. L. Lage , A. Latge

Coal-derived graphene-like material and its addition to FCC copper are investigated using ab initio plane wave density functional theory (DFT). We explore ring disorder in the sp2 carbon, and functional impurities such as oxides (-O), and…

材料科学 · 物理学 2025-06-27 Kishor Nepal , Ridwan Hussein , Yahya Al-Majali , David Drabold

In view of promising applications of fractal nanostructures, we analyze the spectra of quantum particles in the Sierpinski carpet and study the non-correlated electron gas in this geometry. We show that the spectrum exhibits scale…

介观与纳米尺度物理 · 物理学 2015-03-27 Alberto Hernando , Miroslav Sulc , Jiri Vanicek

Fractals, a fascinating mathematical concept made popular in the eighties, remained for decades a beautiful scientific curiosity mainly. With the tremendous advances in nanofabrication techniques, such as nanolithography, it has become…

介观与纳米尺度物理 · 物理学 2020-07-22 Georges Bouzerar , Didier Mayou

We present a detailed numerical study of the electronic properties of single-layer graphene with resonant ("hydrogen") impurities and vacancies within a framework of noninteracting tight-binding model on a honeycomb lattice. The algorithms…

介观与纳米尺度物理 · 物理学 2010-09-29 Shengjun Yuan , Hans De Raedt , Mikhail I. Katsnelson

Fractal lattices are self-similar structures with repeated patterns on different scales. As in other aperiodic lattices, the absence of translational symmetry can give rise to quantum localization effects. In contrast to low-dimensional…

We consider an infinite graphene geometry where bonds and sites have been removed selectively to map it onto an effective Sierpinski gasket comprising of hexagons. We show that such a structure is capable of sustaining an infinite number of…

介观与纳米尺度物理 · 物理学 2012-09-11 Biplab Pal , Arunava Chakrabarti , Nitai Bhattacharya

Recent progress in the fabrication of materials has made it possible to create arbitrary non-periodic two-dimensional structures in the quantum plasmon regime. This paves the way for exploring the plasmonic properties of electron gases in…

介观与纳米尺度物理 · 物理学 2018-05-30 Tom Westerhout , Edo van Veen , Mikhail I. Katsnelson , Shengjun Yuan

We propose an extensive report on the simulation of electronic transport in 2D graphene in presence of structural defects. Amongst the large variety of such defects in sp$^2$ carbon-based materials, we focus on the Stone-Wales defect and on…

Interactions of magnetic elements with graphene may lead to various electronic states that have potential applications. We report an in-situ experiment in which the quantum transport properties of graphene are measured with increasing…

介观与纳米尺度物理 · 物理学 2018-08-21 Chaoyi Cai , Jian-Hao Chen

A range of twist angles between adjacent surfaces/volumes are intrinsic to natural graphite or artificially design in multi-layer graphene. In addition, stacking faults can be created by the application of mechanic, electric or magnetic…

介观与纳米尺度物理 · 物理学 2025-12-15 Nadina Gheorghiu , Charles R. Ebbing , George Y. Panasyuk , Timothy J. Haugan

Fractal lattices, with their self-similar and intricate structures, offer potential platforms for engineering physical properties on the nanoscale and also for realizing and manipulating high order topological insulator states in novel…

介观与纳米尺度物理 · 物理学 2024-11-08 L. L. Lage , N. C. Rappe , A. Latgé

We provide a broad review of fundamental electronic properties of two-dimensional graphene with the emphasis on density and temperature dependent carrier transport in doped or gated graphene structures. A salient feature of our review is a…

介观与纳米尺度物理 · 物理学 2015-03-13 S. Das Sarma , Shaffique Adam , E. H. Hwang , Enrico Rossi

Quantum transport properties in molecularly thin perovskite/graphene heterostructure are experimentally investigated by Shubnikov-de Hass (SdH) oscillation and photo-resistance spectroscopy. We find an efficient charge transfer between the…

介观与纳米尺度物理 · 物理学 2023-12-22 Yan Sun , C. Morice , D. Garrot , R. Weil , K. Watanabe , T. Taniguchi , M. Monteverde , A. D. Chepelianskii

Strongly correlated electron liquids which occur in quantizing magnetic fields reveal a cornucopia of fascinating quantum phenomena such as fractionally charged quasiparticles, anyonic statistics, topological order, and many others. Probing…

介观与纳米尺度物理 · 物理学 2010-03-09 D. A. Abanin , I. Skachko , X. Du , E. Y. Andrei , L. S. Levitov

In recent years, synthesis and experimental research of fractalized materials has evolved in a paradigmatic crossover with topological phases of matter. We present here a theoretical investigation of the helical edge transport in Sierpinski…

材料科学 · 物理学 2024-09-26 M. A. Toloza Sandoval , A. L. Araújo , F. Crasto de Lima , A. Fazzio
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