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Related papers: On 2D Periodic Hexagonal Cells

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In this paper, a continuum mechanics model of graphene is proposed, and its analytical solution is derived. Graphene is modeled as a doubly-periodic thin elastic plate with a hexagonal cell having a circular hole at the hexagon center.…

Analysis of PDEs · Mathematics 2025-04-30 Yuri A. Antipov

The discovery of two-dimensional (2D) magnets has opened up new possibilities for miniaturizing spintronic devices to the monolayer limit. 2D half-metals, capable of conducting fully spin-polarized currents when spin-orbit coupling is…

Mesoscale and Nanoscale Physics · Physics 2024-11-07 Yukang Ding , Tingfeng Zhang , Xiuqin Lu , Yunlong Xia , Zengfu Ou , Ye Chen , Wenya Zhai , Donghui Guo , Fengkun Chen , Meifang Zhu , Zhengfei Wang , Jingcheng Li

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

Mesoscale and Nanoscale Physics · Physics 2022-06-23 Wei-Bang Li , Yu-Ming Wang , Hsien-Ching Chung , Ming-Fa Lin

The alkali halides, known as ionic crystals, have the NaCl-type or CsCl-type structure as the ground state. We study the structural, vibrational, and electronic properties of two-dimensional (2D) ionic crystals from first-principles. Two…

Materials Science · Physics 2022-09-14 Shota Ono

The successful isolation of graphene ten years ago has evoked a rapidly growing scientific interest in the nature of two-dimensional (2D) crystals. A number of different 2D crystals has been produced since then, with properties ranging from…

Mesoscale and Nanoscale Physics · Physics 2013-11-12 B. Sachs , T. O. Wehling , K. S. Novoselov , A. I. Lichtenstein , M. I. Katsnelson

Graphyne (GY) and graphdiyne (GDY)-based materials represent an intriguing class of two-dimensional (2D) carbon-rich networks with tunable structures and properties surpassing those of graphene. However, the challenge of fabricating…

Graphene and two-dimensional materials (2DM) remain an active field of research in science and engineering over 15 years after the first reports of 2DM. The vast amount of available data and the high performance of device demonstrators…

Applied Physics · Physics 2022-03-22 Max C. Lemme , Deji Akinwande , Cedric Huyghebaert , Christoph Stampfer

Compressed hydrogen passes through a series of layered structures in which the layers can be viewed as distorted graphene sheets. The electronic structures of these layered structures can be understood by studying simple model systems- an…

Materials Science · Physics 2013-05-22 Ivan I. Naumov , R. E. Cohen , Russell J. Hemley

A novel crystalline structure of hybrid monolayer hexagonal boron nitride (BN) and graphene is predicted by means of the first-principles calculations. This material can be derived via boron or nitrogen atoms substituted by carbon atoms…

Mesoscale and Nanoscale Physics · Physics 2013-10-25 Jinyun Li , Daqiang Gao , Xiaoning Niu , Mingsu Si , Desheng Xue

Graphene - a single atomic layer of graphite - is a recently-found two-dimensional form of carbon, which exhibits high crystal quality and ballistic electron transport at room temperature. Soft magnetic NiFe electrodes have been used to…

Mesoscale and Nanoscale Physics · Physics 2019-08-19 E. W. Hill , A. K. Geim , K. Novoselov , F. Schedin , P. Blake

Most two-dimensional (2D) materials experimentally studied so far have hexagons as their building blocks. Only a few exceptions, such as PdSe2, are lower in energy in pentagonal phases and exhibit pentagons as building blocks. While theory…

The properties of electrons in magnetically ordered crystals are of interest both from the viewpoint of realizing novel topological phases, such as magnetic Weyl semimetals, and from the applications perspective of creating energy-efficient…

Strongly Correlated Electrons · Physics 2018-08-07 Haruki Watanabe , Hoi Chun Po , Ashvin Vishwanath

The structural, electronic and dynamical properties of a group of 2D germanium-based compounds, including GeC, GeN, GeO, GeSi, GeS, GeSe, and germanene, are investigated by employing first-principles calculations. The most stable structure…

We investigate the dynamics of cellular solidification patterns using three-dimensional phase-field simulations. The cells can organize into stable hexagonal patterns or exhibit unsteady evolutions. We identify the relevant secondary…

Materials Science · Physics 2009-11-07 Mathis Plapp , Marcus Dejmek

Graphene is a 2-dimensional (2D) carbon allotrope with the atoms arranged in a honeycomb lattice. The low-energy electronic excitations in this 2D crystal are described by massless Dirac fermions that have a linear dispersion relation…

Mesoscale and Nanoscale Physics · Physics 2013-08-27 Peter Rickhaus , Romain Maurand , Ming-Hao Liu , Markus Weiss , Klaus Richter , Christian Schönenberger

Among a huge variety of known two-dimensional materials, some of them have anisotropic crystal structures; examples include so different systems as a few-layer black phoshphorus (phosphorene), beryllium nitride BeN$_4$, van der Waals magnet…

Materials Science · Physics 2024-08-30 Alexander N. Rudenko , Mikhail I. Katsnelson

Graphene, dubbed as a two-dimensional material represents the topological concept of "surface" embedded in a three-dimensional space. This regard enables to employ existing theories/tools in topology to understand different…

Mesoscale and Nanoscale Physics · Physics 2018-09-27 Hadi Arjmandi-Tash , Alexander Kloosterman , Gregory F. Schneider

The growing library of two-dimensional layered materials is providing researchers with a wealth of opportunity to explore and tune physical phenomena at the nanoscale. Here, we review the experimental and theoretical state-of-art concerning…

Materials Science · Physics 2016-11-23 Bálint Náfrádi , Mohammad Choucair , László Forró

We derive electronic tight-binding Hamiltonians for strained graphene, hexagonal boron nitride and transition metal dichalcogenides based on Wannier transformation of {\it ab initio} density functional theory calculations. Our microscopic…

Mesoscale and Nanoscale Physics · Physics 2018-08-14 Shiang Fang , Stephen Carr , Miguel A. Cazalilla , Efthimios Kaxiras

Chiral phonons were initially proposed and further verified experimentally in two-dimensional (2D) hexagonal crystal lattices. Many intriguing features brought about by chiral phonons are attributed to the pseudo-angular momenta which are…

Materials Science · Physics 2021-11-10 Qianqian Wang , Si Li , Jiaojiao Zhu , Hao Chen , Weikang Wu , Weibo Gao , Lifa Zhang , Shengyuan A. Yang