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Liquids and solids are two fundamental states of matter. However, due to the lack of direct experimental determination, our understanding of the 3D atomic structure of liquids and amorphous solids remained speculative. Here we advance…

We have developed an unifying tight-binding Hamiltonian that can account for the electronic properties of recently proposed Si-based nanostructures, namely, Si graphene-like sheets and Si nanotubes. We considered the $sp^3s^*$ and $sp^{3}$…

Mesoscale and Nanoscale Physics · Physics 2011-07-04 G. G. Guzmán-Verri , L. C. Lew Yan Voon

Silicon dioxide or silica, normally existing in various bulk crystalline and amorphous forms, is recently found to possess a two-dimensional structure. In this work, we use ab initio calculation and evolutionary algorithm to unveil three…

Materials Science · Physics 2018-01-29 Zhibin Gao , Xiao Dong , Nianbei Li , Jie Ren

We study the problem of the self-assembly of nanoparticles (NPs) into finite mesoscopic structures with a programmed local morphology and complex overall shape. Our proposed building blocks are NPs directionally-functionalized with DNA. The…

Soft Condensed Matter · Physics 2013-11-04 Jonathan D. Halverson , Alexei V. Tkachenko

A major goal in nanoscience and nanotechnology is the self-assembly of any desired complex structure with a system of particles interacting through simple potentials. To achieve this objective, intense experimental and theoretical efforts…

Soft Condensed Matter · Physics 2014-09-11 Daniel Salgado-Blanco , Carlos I. Mendoza

Dirac materials, which feature Dirac cones in the reciprocal space, have been one of the hottest topics in condensed matter physics in the past decade. To date, 2D and 3D Dirac Fermions have been extensively studied, while their 1D…

We introduce a general method which allows reconstruction of electronic band structure of nanocrystals from ordinary real-space electronic structure calculations. A comprehensive study of band structure of a realistic nanocrystal is given…

Mesoscale and Nanoscale Physics · Physics 2013-05-15 Prokop Hapala , Kateřina Kůsová , Ivan Pelant , Pavel Jelinek

It has long been anticipated that the ultimate in miniature circuitry will be crafted of single atoms. Despite many advances made in scanned probe microscopy studies of molecules and atoms on surfaces, challenges with patterning and limited…

In 2015, a new two dimensional (2D) carbon allotrope, called phagraphene, was theoretically proposed. Based on this structure, we propose here a new boron nitride structure called phaBN. It is composed by three types of rings: pentagons,…

Materials Science · Physics 2020-12-09 J. M. Pontes , N. F. Frazão , David L. Azevedo , Jonas R. F. Lima

Congruent polygons are congruent in angles as well as in edge lengths. We concentrate on the angle aspect, and investigate how tilings of the sphere by congruent pentagons can be determined by the angle information only. We also investigate…

Combinatorics · Mathematics 2026-04-29 Robert Barish , Hoi Ping Luk , Min Yan

Nano-fabrication in silicon, arguably the most important material for modern technology, has been limited exclusively to its surface. Existing lithographic methods cannot penetrate the wafer surface without altering it, whereas emerging…

Optics · Physics 2023-02-28 Rana Asgari Sabet , Aqiq Ishraq , Alperen Saltik , Onur Tokel

Motivated by the recently demonstrated ability to attach quantum dots to polymers at well defined locations, we propose a condensed phase analog of the ion trap quantum computer: a scheme for quantum computation using chemically assembled…

Quantum Physics · Physics 2009-11-07 K. R. Brown , D. A. Lidar , K. B. Whaley

The structure of the coincidence symmetry group of an arbitrary $n$-dimensional lattice in the $n$-dimensional Euclidean space is considered by describing a set of generators. Particular attention is given to the coincidence isometry…

Group Theory · Mathematics 2007-05-23 Yi Ming Zou

The structure of the $\sigma$ meson and the diamagnetism of the nucleon are shown to be topics which are closely related to each other. Arguments are found that the $\sigma$ meson couples to two photons via its non-strange $q\bar{q}$…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. I. Levchuk , A. I. L'vov , A. I. Milstein , M. Schumacher

The theoretical formalism of the local density approximation (LDA) to density functional theory (DFT) has been used to study the electronic and geometric structures of SimCn (1<=m, n<=4;n<=m) clusters. An all electron 6-311++G** basis set…

Atomic and Molecular Clusters · Physics 2007-05-23 Prachi Pradhan , Asok K. Ray

Silicon has long been synonymous with semiconductor technology. This unique role is due largely to the remarkable properties of the Si-SiO_2 interface, especially the (001)-oriented interface used in most devices. Although Si is crystalline…

Materials Science · Physics 2009-10-31 Yuhai Tu , J. Tersoff

Nano-size objects like metal clusters present an ideal system for the study of quantum phenomena and for constructing practical quantum devices. Integrating these small objects in a macroscopic circuit is, however, a difficult task. So far…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Roman Krahne , Tali Dadosh , Amir Yacoby , Hadas Shtrikman , Joseph Sperling , Israel Bar-Joseph

We develop a systematic method for computing the angle combinations at all vertices in an edge-to-edge tiling of the sphere by pentagons with the same five angles. The method is a useful and necessary step in many tiling problems about…

Metric Geometry · Mathematics 2023-09-27 Hoi Ping Luk , Min Yan

In previous approaches to form quasicrystals, multiple competing length scales involved in particle size, shape or interaction potential are believed to be necessary. It is unexpected that quasicrystals can be self-assembled by…

Soft Condensed Matter · Physics 2018-10-26 Mengjie Zu , Peng Tan , Ning Xu

Controlled formation of porous silicon has been of primary importance for numerous landmark applications such as light emitting sources, sensors, actuators, drug delivery systems, and energy storage applications. Frequently explored methods…

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