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Based on Monte Carlo calculations, multipolar ordering on the Penrose tiling, relevant for two-dimensional molecular adsorbates on quasicrystalline surfaces and for nanomagnetic arrays, has been analyzed. These initial investigations are…

材料科学 · 物理学 2009-11-13 E. Y. Vedmedenko , Shahar Even-Dar Mandel , Ron Lifshitz

This paper reports formation enthalpies of phases in the Al-Mn-Pd ternary alloy system as calculated from first principles using electronic density functional theory. We consider all crystal structures as reported in the assessed phase…

材料科学 · 物理学 2023-02-27 Marek Mihalkovic , Michael Widom

Ebert et al. [Phys. Rev. Lett. 77, 3827 (1996)] have fractured icosahedral Al-Mn-Pd single crystals in ultrahigh vacuum and have investigated the cleavage planes in-situ by scanning tunneling microscopy (STM). Globular patterns in the…

材料科学 · 物理学 2007-10-10 F. Rösch , Ch. Rudhart , J. Roth , H. -R. Trebin , P. Gumbsch

The nature of the five-fold surface of Al(70)Pd(21)Mn(9) has been investigated using scanning tunneling microscopy. From high resolution images of the terraces, a tiling of the surface has been constructed using pentagonal prototiles. This…

材料科学 · 物理学 2009-11-07 J. Ledieu , R. McGrath , R. D. Diehl , T. A. Lograsso , D. W. Delaney , Z. Papadopolos , G. Kasner

A local and medium range atomic structure model for the face centred icosahedral (fci) Mg25Y11Zn64 alloy has been established in a sphere of r = 27 A. The model was refined by least squares techniques using the atomic pair distribution…

材料科学 · 物理学 2007-05-23 S. Bruehne , E. Uhrig , C. Gross , W. Assmus , A. S. Masadeh , S. J. L. Billinge

The fairly recent discovery of "quasicrystals", whose X-ray diffraction patterns reveal certain peculiar features which do not conform with spatial periodicity, has motivated studies of the wave-dynamical implications of "aperiodic order".…

Using electron diffraction, we show that free electron metals such as sodium and potassium form a highly regular quasiperiodic monolayer on the fivefold surface of icosahedral Al-Pd-Mn and that the quasiperiodicity propagates up to the…

Three-dimensional higher-order topological semimetals in crystalline systems exhibit higher-order Fermi arcs on one-dimensional hinges, challenging the conventional bulk-boundary correspondence. However, the existence of higher-order Fermi…

介观与纳米尺度物理 · 物理学 2024-09-04 Rui Chen , Bin Zhou , Dong-Hui Xu

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…

软凝聚态物质 · 物理学 2021-09-01 Daniel F. Tracey , Eva G. Noya , Jonathan P. K. Doye

The distinctive electronic properties of quasicrystals stem from their long range structural order, with invariance under rotations and under discrete scale change, but without translational invariance. d-dimensional quasicrystals can be…

统计力学 · 物理学 2021-11-24 Anuradha Jagannathan

We investigate the self-assembly of two-dimensional dodecagonal quasicrystals driven by cyclic shear, effectively replacing thermal fluctuations with plastic rearrangements. Using particles interacting via a smoothed square-shoulder…

软凝聚态物质 · 物理学 2026-03-30 Raphaël Maire , Andrea Plati , Frank Smallenburg , Giuseppe Foffi

Experiment E02-019, performed in Hall C at the Thomas Jefferson National Accelerator Facility (TJNAF), was a measurement of inclusive electron cross sections for several nuclei ($^{2}$H,$^{3}$He, $^{4}$He, $^{9}$Be,$^{12}$C, $^{63}$Cu, and…

核实验 · 物理学 2008-12-12 Nadia Fomin

We describe a way to obtain a two-dimensional quasiperiodic tiling with eight-fold symmetry using cold atoms. A series of such optical tilings, related by scale transformations, is obtained for a series of specific values of the chemical…

量子气体 · 物理学 2016-09-29 Nicolas Macé , Anuradha Jagannathan , Michel Duneau

Quasicrystals (QCs) are a class of aperiodic ordered structures that emerge in various systems, from metallic alloys to soft matter and driven non-equilibrium systems. Within a mesoscale theory based on slowly-varying complex amplitudes for…

材料科学 · 物理学 2025-09-12 Marcello De Donno , Luiza Angheluta , Marco Salvalaglio

Metal meshes have emerged as an important class of flexible transparent electrodes. We report on the characteristics of a new class of asymmetric meshes, tiled using a recently-discovered family of pentagons. Micron-scale meshes were…

介观与纳米尺度物理 · 物理学 2016-11-10 Daniel Lordan , Micheal Burke , Mary Manning , Andreas Amann , Dan O'Connell , Richard Murphy , Colin Lyons , Aidan J. Quinn

From butterfly wings to remnants of nuclear detonation, aperiodic order repeatedly emerges in nature, often exhibiting reduced sensitivity to boundaries and symmetry constraints. Inspired by this principle, a paradigm shift is introduced in…

介观与纳米尺度物理 · 物理学 2026-04-10 Kawen Li , Hangjin Cho , Richard Norte , Dongil Shin

This work is devoted to the study of the symmetries of (quasi)periodic architectured materials. For this purpose, the weaker symmetry criterion of indistinguishability is used. It relies on a statistical description of the mesostructure and…

数学物理 · 物理学 2026-04-03 Markus Hubert , Christelle Combescure , Renald Brenner , Nicolas Auffray

Spherical viral shells with icosahedral symmetry have been considered as quasicrystalline tilings. Similarly to known Caspar-Klug quasi-equivalence theory, the presented approach also minimizes the number of conformations necessary for the…

软凝聚态物质 · 物理学 2015-08-04 O. V. Konevtsova , V. L. Lorman , S. B. Rochal

Quasicrystals have a higher degree of rotational and point-reflection symmetry than conventional crystals. As a result, quasicrystalline heterostructures fabricated from dielectric materials with micrometer-scale features exhibit…

软凝聚态物质 · 物理学 2009-11-11 Yael Roichman , David G. Grier

We apply systematic methods previously used by Mihalkovic et al. to predict the structure of the `basic' Co-rich modification of the decagonal Al70 Co20 Ni10 layered quasicrystal, based on known lattice constants and previously calculated…

材料科学 · 物理学 2009-11-11 Nan Gu , C. L. Henley , M. Mihalkovic