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Designing particles that are able to form icosahedral quasicrystals (IQCs) and that are as simple as possible is not only of fundamental interest but is also important to the potential realization of IQCs in materials other than metallic…

Soft Condensed Matter · Physics 2025-05-02 Eva G. Noya , Jonathan P. K. Doye

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

We report on the self-assembly of inverse patchy colloids (IPC) using Monte Carlo simulations in two-dimensions. The IPC model considered in this work corresponds to either bipolar colloids or colloids decorated with complementary DNA on…

Soft Condensed Matter · Physics 2017-05-16 Remya Ann Mathews K , Ethayaraja Mani

The relative stability of three-dimensional icosahedral quasicrystals in multi-component systems has been investigated based on a coupled-mode Swift-Hohenberg model with two-length-scales. A recently developed projection method, which…

Soft Condensed Matter · Physics 2020-01-08 Kai Jiang , Wei Si

Patchy colloids with highly directional interactions are ideal building blocks to control the local arrangements resulting from their spontaneous self-organization. Here we propose their use, combined with substrates and nonequilibrium…

Soft Condensed Matter · Physics 2013-03-21 C. S. Dias , N. A. M. Araújo , M. M. Telo da Gama

Anisotropy at the level of the inter-particle interaction provides the particles with specific instructions for the self-assembly of target structures. The ability to synthesize non-spherical colloids, together with the possibility of…

Soft Condensed Matter · Physics 2020-01-03 Carina Karner , Christoph Dellago , Emanuela Bianchi

In recent years, experimental and theoretical investigations have shown that anisotropic colloids can self-organise into ordered porous monolayers, where the interplay of localised bonding sites, so called patches, with the particle's shape…

Soft Condensed Matter · Physics 2024-05-03 Carina Karner , Emanuela Bianchi

We report on self-assemblies formed from spherical patchy particles interacting by a long-range attraction through a patch region in a two-dimensional system. We performed Monte Carlo simulations to find stable structures in a system with…

Soft Condensed Matter · Physics 2019-09-05 Masahide Sato

We study the electronic structure of quasicrystals composed of incommensurate stacks of atomic layers. We consider two systems: a pair of square lattices with a relative twist angle of $\theta=45^\circ$ and a pair of hexagonal lattices with…

Mesoscale and Nanoscale Physics · Physics 2021-01-21 J. A. Crosse , Pilkyung Moon

The rapid progress in precisely designing the surface decoration of patchy colloidal particles offers a new, yet unexperienced freedom to create building entities for larger, more complex structures in soft matter systems. However, it is…

Soft Condensed Matter · Physics 2012-06-14 G. Doppelbauer , E. G. Noya , E. Bianchi , G. Kahl

We investigate the formation of a two-dimensional quasicrystal in a monodisperse system, using molecular dynamics simulations of hard sphere particles interacting via a two-dimensional square-well potential. We find that more than one…

Soft Condensed Matter · Physics 2009-10-31 A. Skibinsky , S. V. Buldyrev , A. Scala , S. Havlin , H. E. Stanley

Spherical particles confined to a sphere surface cannot pack densely into a hexagonal lattice without defects. In this study, we use hard particle Monte Carlo simulations to determine the effects of continuously deformable shape anisotropy…

Soft Condensed Matter · Physics 2026-01-01 Gabrielle N. Jones , Philipp W. A. Schönhöfer , Sharon C. Glotzer

Quasicrystals and their periodic approximants are complex phases, which have by now been observed in many metallic alloys, soft matter systems, and particle simulations. In recent experiments of thin-film perovskites on solid substrates,…

Soft Condensed Matter · Physics 2024-08-07 Nydia Roxana Varela-Rosales , Michael Engel

At sufficiently low temperatures and high densities, repulsive spherical particles in two-dimensions (2d) form close-packed structures with six-fold symmetry. By contrast, when the interparticle interaction has an attractive anisotropic…

Soft Condensed Matter · Physics 2018-09-13 T. Geigenfeind , C. S. Dias , M. M. Telo da Gama , D. de las Heras , N. A. M. Araújo

Quasicrystals are unique materials characterized by long-range order without periodicity. They are observed in systems such as metallic alloys, soft matter, and particle simulations. Unlike periodic crystals, which are invariant under…

Computational Physics · Physics 2024-11-14 Nydia Roxana Varela-Rosales , Michael Engel

Hard-core/soft shell (HCSS) particles have been shown to self-assemble into a remarkably rich variety of structures under compression due to the simple interplay between the hard-core and soft-shoulder length scales in their interactions.…

Soft Condensed Matter · Physics 2020-08-24 Walter R. C. Somerville , Adam D. Law , Marcel Rey , Nicolas Vogel , Andrew J. Archer , D. Martin A. Buzza

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…

Soft Condensed Matter · Physics 2026-03-30 Raphaël Maire , Andrea Plati , Frank Smallenburg , Giuseppe Foffi

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

The self-assembly of two-dimensional dodecagonal quasicrystal (DDQC) from patchy particles are investigated by Brownian dynamics simulations. The patchy particle has a five-fold rotational symmetry pattern described by the spherical…

Soft Condensed Matter · Physics 2025-02-21 Uyen Tu Lieu , Natsuhiko Yoshinaga

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