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A dodecagonal quasicrystal showing 12-fold symmetry forms in Mn-rich quaternary alloys containing 5.5 or 7.5 at.% Cr, 5.0 at.% Ni and 17.5 at.% Si. After annealing at 700 C for 130 h, the quasicrystal precipitated in a matrix of \b{eta}-Mn…

Materials Science · Physics 2016-02-17 Shuhei Iwami , Tsutomu Ishimasa

We report the discovery of a mixed orientational structure in the quasi-one-dimensional fluid of hard non-spherical bodies with the exact calculation of the thermodynamic and structural quantities using the transfer operator method. The…

Soft Condensed Matter · Physics 2025-10-13 Sakineh Mizani , Martin Oettel , Péter Gurin , Szabolcs Varga

We study the three-dimensional structure formation when atoms are deposited onto a substrate with a decagonal quasicrystalline order. Molecular-dynamicscalculations show that the adsorbate layer consists of ordered nano-scale domains with…

Materials Science · Physics 2007-11-29 Muhittin Mungan , Yves Weisskopf , Mehmet Erbudak

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…

Quasicrystals are long-range ordered and yet non-periodic. This interplay results in a wealth of intriguing physical phenomena, such as the inheritance of topological properties from higher dimensions, and the presence of non-trivial…

Quantum Gases · Physics 2019-07-04 Konrad Viebahn , Matteo Sbroscia , Edward Carter , Jr-Chiun Yu , Ulrich Schneider

Model patchy particles have been shown to be able to form a wide variety of structures, including symmetric clusters, complex crystals and even two-dimensional quasicrystals. Here, we investigate whether we can design patchy particles that…

Soft Condensed Matter · Physics 2021-09-01 Daniel F. Tracey , Eva G. Noya , Jonathan P. K. Doye

We investigated the relative stability of the amorphous vs crystalline nanoparticles of size ranging between 0.8 and 1.8 nm. We found that, at variance from bulk systems, at low T small nanoparticles are amorphous and they undergo to an…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Sergio Orlandini , Simone Meloni , Luciano Colombo

In this paper the problem of the theory of a quasicrystal structures - the determination of coordinates of each atom of quasicrystal in analytical form - is solved. Within the framework of the proposed model a periodic crystal can be…

Disordered Systems and Neural Networks · Physics 2016-08-31 Vadim Gouliaev

Quasicrystals are nonperiodic structures having no translational symmetry but nonetheless possessing long-range order. The material properties of quasicrystals, particularly their low-temperature behavior, defy easy description. We present…

Optics · Physics 2019-03-18 Theodore A. Corcovilos , Jahnavee Mittal

Light interaction with rotating nanostructures gives rise to phenemona as varied as optical torques and quantum friction. Here we reveal that circular dichroism of rotating optically-isotropic particles has an unexpectedly strong dependence…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 Deng Pan , Hongxing Xu , F. Javier García de Abajo

Quasicrystals are solid structures with symmetry forbidden by crystallographic rules. Because of this some structural characteristics of quasicrystals, for instance, radial distribution function, can look similar to the ones of amorphous…

Soft Condensed Matter · Physics 2019-07-30 Yu. D. Fomin

The discovery of quasicrystals with crystallographically forbidden rotational symmetries has changed the notion of the ordering in materials, yet little is known about the dynamical emergence of such exotic forms of order. Here we…

Quantum Gases · Physics 2019-11-27 Farokh Mivehvar , Helmut Ritsch , Francesco Piazza

We present a molecular dynamics study on atomic self-diffusion in Frank-Kasper type dodecagonal quasicrystals. It is found that the quasicrystal-specific flip mechanism for atomic diffusion as predicted by Kalugin and Katz, indeed occurs in…

Condensed Matter · Physics 2007-05-23 Johannes Roth , Franz Gaehler

Periodic configurations have dominated the design of phononic and elastic-acoustic metamaterial structures for the past decades. Unlike periodic crystals, quasicrystals lack translational symmetry but are unrestricted in rotational…

Applied Physics · Physics 2021-09-01 Danilo Beli , Matheus I. N. Rosa , Carlos De Marqui , Massimo Ruzzene

Electronic nematic order has been reported in a rich landscape of materials, encompassing not only a range of intertwined correlated and topological phenomena, but also different underlying lattice symmetries. Motivated by these findings,…

Strongly Correlated Electrons · Physics 2025-09-15 Matthias Hecker , Anant Rastogi , Daniel F. Agterberg , Rafael M. Fernandes

Symmetry invariants of a group specify the classes of quasiparticles, namely the classes of projective irreducible co-representations in systems having that symmetry. More symmetry invariants exist in discrete point groups than the full…

Mesoscale and Nanoscale Physics · Physics 2024-11-27 Jian Yang , Zheng-Xin Liu , Chen Fang

The behaviour of two-dimensional patchy particles with 5 and 7 regularly-arranged patches is investigated by computer simulation. For higher pressures and wider patch widths, hexagonal crystals have the lowest enthalpy, whereas at lower…

Soft Condensed Matter · Physics 2012-03-22 Marjolein N. van der Linden , Jonathan P. K. Doye , Ard A. Louis

Orientation and microstructure are investigated in sheared Brownian suspensions of hard dicolloidal particles, with the dicolloids modeled as two fused spheres of varying radii and center to center separations. Two different particle shapes…

Soft Condensed Matter · Physics 2012-07-24 Amit Kumar , Jonathan J. L. Higdon

We investigate particles in two-dimensional quasicrystalline interference patterns and present a method to determine for each particle at which phasonic displacement a phasonic flip occurs. By mapping all particles into characteristic areas…

Soft Condensed Matter · Physics 2020-05-14 Miriam Martinsons , Michael Schmiedeberg

We study experimentally the impact of spherical nanoparticles on the orientational order parameters of a host nematic liquid crystal. We use spherical core-shell quantum dots that are surface functionalized to promote homeotropic anchoring…

Soft Condensed Matter · Physics 2018-05-09 C. Kyrou , S. Kralj , M. Panagopoulou , Y. Raptis , G. Nounesis , I. Lelidis