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Related papers: Self-Assembly of Monatomic Complex Crystals and Qu…

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For many years, quasicrystals were observed only as solid-state metallic alloys, yet current research is now actively exploring their formation in a variety of soft materials, including systems of macromolecules, nanoparticles and colloids.…

Soft Condensed Matter · Physics 2018-05-02 Samuel Savitz , Mehrtash Babadi , Ron Lifshitz

Freezing of charge-stabilized colloidal suspensions and relative stabilities of crystals and quasicrystals are studied using thermodynamic perturbation theory. Macroion interactions are modelled by effective pair potentials combining…

Soft Condensed Matter · Physics 2009-10-31 A. R. Denton , H. Lowen

In event-chain Monte Carlo simulations we model colloidal particles in two dimensions that interact according to an isotropic short-ranged pair potential which supports the two typical length scales present in decagonal quasicrystals. We…

Soft Condensed Matter · Physics 2020-05-14 M. Martinsons , J. Hielscher , S. C. Kapfer , M. Schmiedeberg

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

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

Classical density-functional theory is employed to study finite-temperature trends in the relative stabilities of one-component quasicrystals interacting via effective metallic pair potentials derived from pseudopotential theory. Comparing…

Materials Science · Physics 2009-10-30 A. R. Denton , J. Hafner

Although quasicrystals have been studied for 25 years, there are many open questions concerning their stability: What is the role of phason fluctuations? Do quasicrystals transform into periodic crystals at low temperature? If yes, by what…

Other Condensed Matter · Physics 2009-04-01 Michael Engel , Hans-Rainer Trebin

Using molecular simulations, we show that the aperiodic growth of quasicrystals is controlled by the ability of the growing quasicrystal `nucleus' to incorporate kinetically trapped atoms into the solid phase with minimal rearrangement. In…

Other Condensed Matter · Physics 2010-12-22 Aaron S. Keys , Sharon C. Glotzer

Self-dual structures whose dual counterparts are themselves possess unique hidden symmetry, beyond the description of classical spatial symmetry groups. Here we propose a strategy based on { a nematic monolayer of} attractive…

Soft Condensed Matter · Physics 2021-07-07 Qun-Li Lei , Wei Zheng , Feng Tang , Xiangang Wan , Ran Ni , Yuqiang Ma

Quasicrystals are intriguing ordered structures characterized by the lack of translational symmetry and the existence of rotational symmetry. The tiling of different geometric units such as triangles and squares in two-dimensional space can…

Soft Condensed Matter · Physics 2024-10-11 Xin Wang , An-Chang Shi , Pingwen Zhang , Kai Jiang

Systems of soft-core particles interacting via a two-scale potential are studied. The potential is responsible for peaks in the structure factor of the liquid state at two different but comparable length scales, and a similar bimodal…

Soft Condensed Matter · Physics 2015-12-03 A. J. Archer , A. M. Rucklidge , E. Knobloch

A combination of classical density-functional theory and thermodynamic perturbation theory is applied to a survey of finite-temperature trends in the relative stabilities of one-component crystals and quasicrystals interacting via effective…

Materials Science · Physics 2009-10-30 A. R. Denton , J. Hafner

The ground state of a two-dimensional, harmonically confined mesoscopic assembly of up to thirty polar molecules is studied by computer simulations. As the strength of the confining trap is increased, clusters evolve from superfluid, to…

Mesoscale and Nanoscale Physics · Physics 2013-06-07 Massimo Boninsegni

Self-assembly is the process in which the components of a system, whether molecules, polymers, or macroscopic particles, are organized into ordered structures as a result of local interactions between the components themselves, without…

Discrete Mathematics · Computer Science 2022-01-13 Thomas Fernique , Ilya Galanov

We investigate the physics of ultracold dipolar molecules using path-integral quantum Monte Carlo simulations, and construct the complete phase diagram extending from weak to strong interactions and from small to mesoscopic particle…

Quantum Gases · Physics 2025-04-04 Matteo Ciardi , Kasper Rønning Pedersen , Tim Langen , Thomas Pohl

Colloidal crystals are used to understand fundamentals of atomic rearrangements in condensed matter and build complex metamaterials with unique functionalities. Simulations predict a multitude of self-assembled crystal structures from…

Soft Condensed Matter · Physics 2023-08-08 David Doan , John Kulikowski , X. Wendy Gu

In this study, a variational method for the inverse problem of self-assembly, i.e., a reconstruction of the interparticle interaction potential of a given structure, is applied to three-dimensional crystals. According to the method, the…

Soft Condensed Matter · Physics 2021-01-22 Masashi Torikai

The dynamics of quasicrystals is more complicated than the dynamics of periodic solids and difficult to study in experiments. Here, we investigate a decagonal and a dodecagonal quasicrystal using molecular dynamics simulations of the…

Materials Science · Physics 2010-10-11 Michael Engel , Masahiro Umezaki , Hans-Rainer Trebin , Takashi Odagaki

Interaction between dipolar forces, such as permanent magnets, generally leads to the formation of one-dimensional chains and rings. We investigated whether it was possible to let dipoles self-assemble into three-dimensional structures by…

Applied Physics · Physics 2020-05-12 Leon Abelmann , Tijmen Hageman , Per Löthman , Massimo Mastrangeli , Miko Elwenspoek

We study the self-assembly of magnetic colloids using the Stockmayer (SM) model characterized by short-range Lennard-Jones interactions and long-range dipole-dipole interactions. Using molecular dynamics simulations, we design cooling…

Soft Condensed Matter · Physics 2025-06-30 Anuj Kumar Singh , Sanjay Puri , Varsha Banerjee