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A general construction principle of inflation rules for decagonal quasiperiodic tilings is proposed. The prototiles are confined to be polygons with unit edges. An inflation rule for a tiling is the combination of an expansion and a…

Mathematical Physics · Physics 2009-11-27 Nobuhisa Fujita

The (Co,Ni)Al2O4 is an aluminum transition metals oxide which falls into the category of aluminate spinels. The synthesis of nano-crystalline spinels has been investigated extensively due to their potential applications such as a…

Materials Science · Physics 2007-05-23 T. P. Yadav , N. K. Mukhopadhyay , R. S. Tiwari , O. N. Srivastava

The possibility of the $^{14}$C cluster being a basic building block of medium mass nuclei is discussed. Although $\alpha$ cluster structures have been widely discussed in the light $N\approx Z$ mass region, the neutron to proton ratio…

Nuclear Theory · Physics 2020-03-18 N. Itagaki , A. V. Afanasjev , D. Ray

We present a cluster covering scheme to construct the two-dimensional octagonal quasilattice. A quasi-unit cell is successfully found which is a two-color cluster similar to the Gummelt's two-color decagon in five-fold quasilattice. The…

Other Condensed Matter · Physics 2008-10-28 Longguang Liao , Xiujun Fu , Zhilin Hou

To understand the formation of the Bergman cluster in the F-type icosahedral quasicrystal, crystallographic relations between the quasicrystal and the intermetallic-compound H and Zn$_{23}$Y$_6$ phases in the Zn-Mg-Y alloy system were…

Materials Science · Physics 2018-03-16 Kei Nakayama , Masaya Nakagawa , Yasumasa Koyama

Metal chalcogenide is a promising material for studying novel underlying physical phenomena and nanoelectronics applications. Here, we systematically investigate the crystal structure and electronic properties of the AlSe surface alloy on…

Materials Science · Physics 2026-03-30 En-Ze Shao , Kai Liu , Hao Xie , Kaiqi Geng , Keke Bai , Jinglan Qiu , Jing Wang , Wen-Xiao Wang , Juntao Song

Quaternary phases formed in copper alloys are investigated through a combination of quantum-mechanical and classical computer simulations and active machine learning. Focus is given on nickel, silicon, and chromium impurities in a copper…

Materials Science · Physics 2024-10-24 Ángel Díaz Carral , Simon Gravelle , Maria Fyta

The intermetallic compound H (Mn$_7$Si$_2$V) phase in the Mn-Si-V alloy system can be regarded as an approximant phase of the dodecagonal quasicrystal as one of the two-dimensional quasicrystals. To understand the features of the…

Materials Science · Physics 2018-07-10 Kei Nakayama , Takumi Komatsuzaki , Yasumasa Koyama

We investigate the necessary features of the pair interaction for the stabilization of self-assembled quantum quasicrystals in two-dimensional bosonic systems. Unlike the classical scenario, our results show that two-dimensional octagonal,…

Other Condensed Matter · Physics 2025-11-17 Matheus Grossklags , Daniel Lima , Vinicius Zampronio , Fabio Cinti , Alejandro Mendoza-Coto

Due to their aperiodic nature, quasicrystals are one of the least understood phases in statistical physics. One significant complication they present in comparison to their periodic counterparts is the fact that any quasicrystal can be…

Soft Condensed Matter · Physics 2024-02-01 Etienne Fayen , Laura Filion , Giuseppe Foffi , Frank Smallenburg

Our understanding of physical properties of quasicrystals owes a great deal to studies of tight-binding models constructed on quasiperiodic tilings. Among the large number of possible quasiperiodic structures, two dimensional tilings are of…

Strongly Correlated Electrons · Physics 2025-07-01 Anuradha Jagannathan , Michel Duneau

The discovery of quasicrystals 30 years ago challenged our understanding of order at the atomic scale. While quasicrystals possess long-range orientational order they lack translation periodicity. Structurally complex, yet crystalline…

Materials Science · Physics 2014-10-14 Wolfgang Hornfeck , Raphael Kobold , Matthias Kolbe , Dieter Herlach

Icosahedral quasicrystals spontaneously form from the melt in simulations of Al--Cu--Fe alloys. We model the interatomic interactions using oscillating pair potentials tuned to the specific alloy system based on a database of density…

Materials Science · Physics 2020-03-04 Marek Mihalkovic , Michael Widom

The quasi-unit cell picture describes the atomic structure of quasicrystals in terms of a single, repeating cluster which overlaps neighbors according to specific overlap rules. In this paper, we discuss the precise relationship between a…

Materials Science · Physics 2009-11-07 Hyeong-Chai Jeong , Paul J. Steinhardt

Using molecular dynamics simulations, we study computational self-assembly of one-component three-dimensional dodecagonal (12-fold) quasicrystals in systems with two-length-scale potentials. Existing criteria for three-dimensional…

Materials Science · Physics 2017-05-04 Roman Ryltsev , Nikolay Chtchelkatchev

For the study of crystal formation and dynamics we introduce a simple two-dimensional monatomic model system with a parametrized interaction potential. We find in molecular dynamics simulations that a surprising variety of crystals, a…

Other Condensed Matter · Physics 2007-07-03 Michael Engel , Hans-Rainer Trebin

We study the phase behaviour of a quasi-two dimensional cholesteric liquid crystal shell. We characterise the topological phases arising close to the isotropic-cholesteric transition, and show that they differ in a fundamental way from…

Soft Condensed Matter · Physics 2022-08-25 Livio Nicola Carenza , Giuseppe Gonnella , Davide Marenduzzo , Giuseppe Negro , Enzo Orlandini

This article comprises three sections. Section 2 starts with a review of ab initio no-core shell model calculations by Monte Carlo Shell Model. Alpha clustering arises for 8,10,12Be and 12C with Daejeon16 and JISP16 interactions, even in…

Nuclear Theory · Physics 2026-04-09 Takaharu Otsuka , Alexander Volya , Naoyuki Itagaki

Classical effective potentials are indispensable for any large-scale atomistic simulations, and the relevance of simulation results crucially depends on the quality of the potentials used. For complex alloys like quasicrystals, however,…

Materials Science · Physics 2009-07-07 Peter Brommer , Franz Gähler

Quasicrystals (QCs) host long-range order without translational symmetry, a regime in which the very foundations of BCS theory are not straightforwardly applicable, yet experiments on QCs and their approximant crystals (ACs) point to…