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Aperiodic crystals are the intermediates between strictly periodic crystalline matter and amorphous solids. The lack of translational symmetry combined with intrinsic long-range order endows aperiodic crystals with unique physical…

The growth of quasicrystals, i.e., aperiodic structures with long-range order, seeded from the melt is investigated using a dynamical phase field crystal model. Depending on the thermodynamic conditions, two different growth modes are…

Soft Condensed Matter · Physics 2014-07-31 C. V. Achim , M. Schmiedeberg , H. Löwen

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

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

Seeing macroscopic quantum states directly remains an elusive goal. Particles with boson symmetry can condense into such quantum fluids producing rich physical phenomena as well as proven potential for interferometric devices [1-10].…

Mesoscale and Nanoscale Physics · Physics 2011-12-01 G. Tosi , G. Christmann , N. G. Berloff , P. Tsotsis , T. Gao , Z. Hatzopoulos , P. G. Savvidis , J. J. Baumberg

In the window approach to quasicrystals, the atomic position space E_parallel is embedded into a space E^n = E_parallel + E_perp. Windows are attached to points of a lattice Lambda \in E^n. For standard 5fold and icosahedral tiling models,…

Mathematical Physics · Physics 2009-10-31 Peter Kramer

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

There seems to be a one to one correspondence between the phases of atomic and molecular matter (AMOM) and vortex matter (VM) in superconductors. Crystals, liquids and glasses have been experimentally observed in both AMOM and VM. However,…

Superconductivity · Physics 2007-05-23 C. A. R. Sa de Melo

The use of atomically sized quantum systems as highly sensitive measuring devices represents an exciting and quickly growing research field. Here, we explore the properties of a quasiparticle formed by a mobile impurity interacting with a…

Quantum Gases · Physics 2022-06-15 Ragheed Alhyder , Georg M. Bruun

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

Laser-cooled and trapped cesium atoms have been used as a nonlinear medium in a nearly resonant cavity. A study of the semiclassical dynamics of the system was performed, showing bistability and instabilities. In the quantum domain,…

Quantum Physics · Physics 2015-06-26 A. Lambrecht , J. M. Courty , S. Reynaud , E. Giacobino

We develop a method to design tunable quasiperiodic structures of particles suspended in a fluid by controlling standing acoustic waves. One application of our results is to ultrasound directed self-assembly, which allows fabricating…

Analysis of PDEs · Mathematics 2024-09-20 Elena Cherkaev , Fernando Guevara Vasquez , China Mauck

In strongly correlated materials the electronic and optical properties are significantly affected by the coupling of fermionic quasiparticles to different degrees of freedom, such as lattice vibrations and bosonic excitations of electronic…

Quasicrystals are metal alloys whose noncrystallographic symmetry and lack of structural periodicity challenge methods of experimental structure determination. Here we employ quantum-based total-energy calculations to predict the structure…

Condensed Matter · Physics 2016-08-16 M. Mihalkovič , I. Al-Lehyani , E. Cockayne , C. L. Henley , N. Moghadam , J. A. Moriarty , Y. Wang , M. Widom

We report on the realization and characterisation of optical potentials for ultracold atoms using a superluminescent diode. The light emitted by this class of diodes is characterised by high spatial coherence but low temporal coherence. On…

Quantum Gases · Physics 2021-09-14 Aaron Smith , Thomas Easton , Vera Guarrera , Giovanni Barontini

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

Second harmonic generation in a two dimensional nonlinear quasi-crystal is demonstrated for the first time. Temperature and wavelength tuning of the crystal reveal the uniformity of the pattern while angle tuning reveals the dense nature of…

Optics · Physics 2007-05-23 Neil Broderick , Anna Peacock , Katia Gallo , Ruth Lewen , Radu Bratfalean

Much of modern condensed matter physics is understood in terms of elementary excitations, or quasiparticles - fundamental quanta of energy and momentum. Various strongly-interacting atomic systems are successfully treated as a collection of…

Strongly Correlated Electrons · Physics 2010-07-28 Matthew B. Stone , Igor A. Zaliznyak , Tao Hong , Collin L. Broholm , Daniel H. Reich

The nucleation of quasicrystals remains a fundamental puzzle, primarily due to the absence of a periodic translational template. Here, we demonstrate that phasons - hidden degrees of freedom unique to quasiperiodic order - drive diverse…

Soft Condensed Matter · Physics 2026-02-17 Gang Cui , Lei Zhang , Pingwen Zhang , An-Chang Shi , Kai Jiang

Mechanisms that stabilize quasicrystals are much discussed but not finally resolved. We confirm the random tiling hypothesis and its predictions in a fully atomistic decagonal quasicrystal model by calculating the free energy and the phason…

Materials Science · Physics 2013-05-10 Alexander Kiselev , Michael Engel , Hans-Rainer Trebin