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We unveil a novel mechanism for quasicondensation of hard-core bosons in the presence of quasiperiodicity-induced multifractal single-particle states. The new critical state, here dubbed fractal quasicondensate, is characterized by natural…

Quantum Gases · Physics 2025-02-19 Flavio Riche , Miguel Gonçalves , Bruno Amorim , Eduardo V. Castro , Pedro Ribeiro

We investigate the formation and stability of icosahedral quasicrytalline structures using a dynamic phase field crystal model. Nonlinear interactions between density waves at two length scales stabilize three-dimensional quasicrystals. We…

Pattern Formation and Solitons · Physics 2016-08-17 P. Subramanian , A. J. Archer , E. Knobloch , A. M. Rucklidge

We propose a unified framework for dealing with matching rules of quasiperiodic patterns, relevant for both tiling models and real world quasicrystals. The approach is intended for extraction and validation of a minimal set of matching…

Other Condensed Matter · Physics 2019-06-07 Pavel Kalugin , André Katz

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

Although the effects of interactions in solid state systems still remains a widely open subject, some limiting cases such as the three dimensional Fermi liquid or the one-dimensional Luttinger liquid are by now well understood when one is…

Strongly Correlated Electrons · Physics 2007-05-23 Julien Vidal , Dominique Mouhanna , Thierry Giamarchi

Liquid crystals in two dimensions undergo a first-order isotropic-to-quasi-nematic transition, provided the particle interactions are sufficiently ``sharp and narrow''. This implies phase coexistence between isotropic and quasi-nematic…

Statistical Mechanics · Physics 2009-11-13 R. L. C. Vink

Topological phases of matter have sparked an immense amount of activity in recent decades. Topological materials are classified by topological invariants that act as a non-local order parameter for any symmetry and condition. As a result,…

Materials Science · Physics 2020-12-08 Oded Zilberberg

Atomic structures of Al-Co-Cu decagonal quasicrystals (QCs) are investigated using empirical oscillating pair potentials (EOPP) in molecular dynamic (MD) simulations that we enhance by Monte Carlo (MC) swapping of chemical species and…

Materials Science · Physics 2024-04-23 Y. Huang , M. Widom , M. Mihalkovič

Achieving intrinsic optical chirality requires breaking all mirror symmetries of an object, and maximum chirality, which allows interaction with only one helicity of light, is particularly promising for applications such as chiral sensing,…

Optics · Physics 2025-02-28 Jiaqi Niu , Jingquan Liu , Bin Yang

When driven by nonequilibrium fluctuations, particle systems may display phase transitions and physical behaviour with no equilibrium counterpart. We study a two-dimensional particle model initially proposed to describe driven non-Brownian…

Statistical Mechanics · Physics 2023-08-23 Leonardo Galliano , Michael E. Cates , Ludovic Berthier

We study the quasi-stationary evolution of systems where an energetic confinement is unable to completely retain their constituents. It is performed an extensive numerical study of a gas whose dynamics is driven by binary encounters and its…

Statistical Mechanics · Physics 2007-05-23 L. Velazquez , H. Mosquera Cuesta , F. Guzman

The fundamental idea that the constituents of interacting many body systems in complex quantum materials may self-organise into long range order under highly non-equilibrium conditions leads to the notion that entirely new and unexpected…

Strongly Correlated Electrons · Physics 2019-09-13 Yaroslav A. Gerasimenko , Peter Karpov , Igor Vaskivskyi , Serguei Brazovskii , Dragan Mihailovic

Aperiodic (quasicrystalline) tilings, such as Penrose's tiling, can be built up from e.g. kites and darts, squares and equilateral triangles, rhombi or shield shaped tiles and can have a variety of different symmetries. However, almost all…

Soft Condensed Matter · Physics 2022-10-17 Andrew J. Archer , Tomonari Dotera , Alastair M. Rucklidge

We present results of Monte-Carlo simulations for finite 2D single and bilayer systems. Strong Coulomb correlations lead to arrangement of particles in configurations resembling a crystal lattice. For binary layers, there exists a…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 A. V. Filinov , M. Bonitz , Yu. E. Lozovik

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

We study the properties of a quasi-one dimensional superconductor which consists of an alternating array of two inequivalent chains. This model is a simple charicature of a locally striped high temperature superconductor, and is more…

Superconductivity · Physics 2009-10-31 M. Granath , V. Oganesyan , S. A. Kivelson , E. Fradkin , V. J. Emery

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

Using molecular dynamics simulations, we study computational self-assembly of one-component three-dimensional dodecagonal (12-fold) quasicrystals in systems with two-length-scale potentials. Existing criteria for three-dimensional…

Materials Science · Physics 2017-05-04 Roman Ryltsev , Nikolay Chtchelkatchev

We introduce a novel simulation method that is designed to explore fluctuations of the phasonic degrees of freedom in decagonal colloidal quasicrystals. Specifically, we attain and characterise thermal equilibrium of the phason ensemble via…

Soft Condensed Matter · Physics 2020-05-14 Johannes Hielscher , Miriam Martinsons , Michael Schmiedeberg , Sebastian C. Kapfer

Quasiperiodic systems offer an appealing intermediate between long-range ordered and genuine disordered systems, with unusual critical properties. One-dimensional models that break the so-called self-dual symmetry usually display a mobility…

Quantum Gases · Physics 2022-04-26 Hepeng Yao , Alice Khoudli , Léa Bresque , Laurent Sanchez-Palencia