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Many new families of quasicrystal-forming magnetic alloys have been synthesized and studied in recent years. For small changes of composition, the alloys can go from quasiperiodic to periodic (approximant crystals) while conserving most of…

Strongly Correlated Electrons · Physics 2026-03-31 Anuradha Jagannathan

Quasi-crystals are aperiodic structures that present crystallographic properties which are not compatible with that of a single unit cell. Their revolutionary discovery in a metallic alloy, less than three decades ago, has required a full…

Starting from the Zn17Sc3 cubic approximant, new quasicrystal alloys were searched by replacement of Zn with transition elements, T. In the cases of T=Mn, Fe, Co and Ni, new icosahedral quasicrystals are formed in as-cast alloys as major…

Materials Science · Physics 2009-11-10 Ryo Maezawa , Shiro Kashimoto , Tsutomu Ishimasa

A new class of self-similar ordered structures with non-crystallographic point symmetries is presented. Each of these structures, named superquasicrystals, is given as a section of a higher-dimensional "crystal" with recursive superlattice…

Materials Science · Physics 2007-05-23 Komajiro Niizeki , Nobuhisa Fujita

Mathematicians have been interested in non-periodic tilings of space for decades; however, it was the unexpected discovery of non-periodically ordered structures in intermetallic alloys which brought this subject into the limelight. These…

Mathematical Physics · Physics 2019-06-26 Uwe Grimm , Peter Kramer

A structure model of atoms of two sizes, interacting with Lennard-Jones potentials and simulated by molecular dynamics, was observed to freeze into a decagonal quasicrystal dominated by Frank-Kasper coordination shells and closely related…

Condensed Matter · Physics 2009-10-28 Johannes Roth , Christopher L. Henley

We report a novel kind of dodecagonal quasicrystal that has so far never been observed, nor theoretically predicted. It is composed of axially stacked hexagonal particle layers, with 12-fold rotational symmetry induced by 30 degrees…

Soft Condensed Matter · Physics 2015-04-16 Alfredo Metere , Peter Oleynikov , Mikhail Dzugutov , Sven Lidin

A P-type icosahedral quasicrystal is formed in Au-Al-Yb alloy of which 6-dimensional lattice parameter a6D = 7.448 {\AA}. The composition of the quasicrystal was analyzed to be Au51Al34Yb15. This quasicrystal is formed in as-cast alloys,…

Materials Science · Physics 2015-05-27 Tsutomu Ishimasa , Yukinori Tanaka , Shiro Kashimoto

Quasicrystals are frequently encountered in condensed matter. They are important candidates for equilibrium phases from the atomic scale to the nanoscale. Here, we investigate the computational self-assembly of four quasicrystals in a…

Materials Science · Physics 2017-06-26 Pablo F. Damasceno , Sharon C. Glotzer , Michael Engel

The conditions for forming quasicrystals and their approximants are stringent, normally requiring multiple length scales to stabilize the quasicrystalline order. Here we report an unexpected finding that the approximants and motifs of…

Soft Condensed Matter · Physics 2026-04-30 Zhehua Jiang , Jianhua Zhang , Mengyuan Zhan , Jiaqi Si , Junchao Huang , Hua Tong , Ning Xu

Motivated by recent experimental findings, we investigate the possible occurrence and characteristics of quasicrystalline order in two-dimensional mixtures of point dipoles with two sorts of dipole moments. Despite the fact that the dipolar…

Other Condensed Matter · Physics 2009-11-10 Falk Scheffler , Philipp Maass , Johannes Roth , Holger Stark

Using a strategy that may be applied in theory or in experiments, we identify the regime in which a model binary soft matter mixture forms quasicrystals. The system is described using classical density functional theory combined with…

Soft Condensed Matter · Physics 2021-01-22 A. Scacchi , W. R. C. Somerville , D. M. A. Buzza , A. J. Archer

Commensurability is of paramount importance in numerous strongly interacting electronic systems. In the Fractional Quantum Hall effect, a rich cascade of increasingly narrow plateaux appear at larger denominator filling fractions. Rich…

Strongly Correlated Electrons · Physics 2016-07-20 Eran Sagi , Zohar Nussinov

Quasicrystals provide a fascinating class of materials with intriguing properties. Despite a strong potential for numerous technical applications, the conditions under which quasicrystals form are still poorly understood. Currently, it is…

Materials Science · Physics 2010-05-13 J. Mikhael , M. Schmiedeberg , S. Rausch , J. Roth , H. Stark , C. Bechinger

Quasicrystals remain among the most intriguing materials in physics and chemistry. Their structure results in many unusual properties including anomalously low friction as well as poor electrical and thermal conductivity but it also…

Quantum Gases · Physics 2020-05-01 Guido Pupillo , Primoz Ziherl , Fabio Cinti

Quasicrystals have intrigued and stimulated research in a large number of disciplines. Mathematicians, physicists, chemists, metallurgists and materials scientists have found in them a fertile ground for new insights and discoveries. In the…

Other Condensed Matter · Physics 2010-06-24 Anuradha Jagannathan

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

Structural studies on the icosahedral quasicrystals in Zn-Mg-Sc, Cu-Ga-Mg-Sc, and Zn-Mg-Ti alloys as well as their corresponding 1/1 cubic approximants, have revealed that these quasicrystals belong to a new structural group similar to…

Materials Science · Physics 2009-11-10 Tsutomu Ishimasa , Yasushi Kaneko , Hiroshi Kaneko

Atomic-resolution electron microscope images show that a quasicrystal is a quasiperiodic packing of clusters. The outer atomic shells of multi-shell clusters occuring in quasicrystals are highly symmetric and rather robust, but some…

Mathematical Physics · Physics 2009-11-11 Nicolae Cotfas

Quasicrystals can be considered, from the point of view of their electronic properties, as being intermediate between metals and insulators. For example, experiments show that quasicrystalline alloys such as AlCuFe or AlPdMn have…

Strongly Correlated Electrons · Physics 2009-11-11 A. Jagannathan , F. Piechon
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