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Quasicrystals are characterized by quasi-periodic arrangements of atoms. The description of their mechanics involves deformation and a (so called phason) vector field accounting at macroscopic scale of local phase changes, due to atomic…

Mathematical Physics · Physics 2015-11-23 Luca Bisconti , Paolo Maria Mariano

We study the elastic response of planar black hole (BH) solutions in a simple class of holographic models with broken translational invariance. We compute the transverse quasi-normal mode spectrum and the propagation speed of the lowest…

High Energy Physics - Theory · Physics 2018-03-14 Lasma Alberte , Martin Ammon , Matteo Baggioli , Amadeo Jiménez , Oriol Pujolàs

We present the first principles construction of the low-energy effective action for bosonic self-organized quantum quasicrystals. Our generalized elasticity approach retains the appropriate number of phase- and corresponding conjugate…

Statistical Mechanics · Physics 2024-08-08 Alejandro Mendoza-Coto , Mariano Bonifacio , Francesco Piazza

Elastic description of planar quasicrystals can be formulated as an interplay between two Goldstone fields corresponding to phonon and phason degrees of freedom. We reformulate this description as a gauge theory with one gauge field that is…

Strongly Correlated Electrons · Physics 2021-08-12 Piotr Surówka

At finite density, charge in holographic systems can be sourced either by explicit matter sources in the bulk or by bulk horizons. In this paper we find bosonic solutions of both types, breaking a global U(1) symmetry in the former case and…

High Energy Physics - Theory · Physics 2015-06-11 Alexander Adam , Benedict Crampton , Julian Sonner , Benjamin Withers

Phasonic degrees of freedom are unique to quasiperiodic structures, and play a central role in poorly-understood properties of quasicrystals from excitation spectra to wavefunction statistics to electronic transport. However, phasons are…

In this work, we show how states with conserved numbers of dynamical defects (strings, domain walls, etc.) can be understood as possessing generalised global symmetries even when the microscopic origins of these symmetries are unknown.…

High Energy Physics - Theory · Physics 2018-05-18 Sašo Grozdanov , Napat Poovuttikul

We study the dynamics and the relaxation of bulk plasmons in strongly coupled and quantum critical systems using the holographic framework. We analyze the dispersion relation of the plasmonic modes in detail for an illustrative class of…

High Energy Physics - Theory · Physics 2019-10-02 Matteo Baggioli , Ulf Gran , Amadeo Jimenez Alba , Marcus Tornsö , Tobias Zingg

Real crystals almost unavoidably contain a finite density of dislocations. We show that this generic type of long--range correlated disorder leads to a breakdown of the conventional scenario of critical behavior and standard renormalization…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. L. Korzhenevskii , K. Herrmanns , H. -O. Heuer

The concept of vibrational density of states in glasses has been mirrored in liquids by the instantaneous-normal-mode spectrum. While in glasses instantaneous configurations correspond to minima of the potential-energy hypersurface and all…

Disordered Systems and Neural Networks · Physics 2023-02-07 Stefano Mossa , Taras Bryk , Giancarlo Ruocco , Walter Schirmacher

A supersolid is a counter-intuitive state of matter that combines the frictionless flow of a superfluid with the crystal-like periodic density modulation of a solid. Since the first prediction in the 1950s, experimental efforts to realize…

We investigate the emergence of a time-crystalline phase in a single-band holographic superconductor, extending the AdS/CFT framework. By incorporating a nonlinear gauge-scalar coupling and external driving, we derive coupled equations of…

High Energy Physics - Theory · Physics 2026-04-07 Chi-Hsien Tai , Wen-Yu Wen

In crystalline solids the acoustic phonon is known to be the frequency-gapless Goldstone boson emerging from the spontaneous breaking of the continuous Galilean symmetry induced by the crystal lattice. It has also been described as the…

Statistical Mechanics · Physics 2019-10-22 Marco Vallone

We carry out a detailed analysis of the region slightly outside the conformal window of a non-trivial infrared fixed point in a generic bottom-up holographic setup. We focus on models, which study the dynamics of a scalar field, dual to…

High Energy Physics - Phenomenology · Physics 2025-06-16 Jesús Cruz Rojas , Deog Ki Hong , Sang Hui Im , Matti Järvinen

We develop an inhomogeneous quantum mean-field approach to the behavior of collective excitations across the superfluid-Mott glass quantum phase transition in two dimensions, complementing recent quantum Monte Carlo simulations [Phys. Rev.…

Strongly Correlated Electrons · Physics 2021-12-15 Martin Puschmann , João C. Getelina , José A. Hoyos , Thomas Vojta

We present a mesoscale field theory unifying the modeling of growth, elasticity, and dislocations in quasicrystals. The theory is based on the amplitudes entering their density-wave representation. We introduce a free energy functional for…

Mesoscale and Nanoscale Physics · Physics 2025-02-04 Marcello De Donno , Luiza Angheluta , Ken R. Elder , Marco Salvalaglio

In this paper, we propose a general mechanism for the existence of quasicrystals in spatially extended systems (partial differential equations with Euclidean symmetry). We argue that the existence of quasicrystals with higher order…

Pattern Formation and Solitons · Physics 2025-02-04 Ian Melbourne , Jens Rademacher , Bob Rink , Sergey Zelik

Recent studies of holographic tensor network models defined on regular tessellations of hyperbolic space have not yet addressed the underlying discrete geometry of the boundary. We show that the boundary degrees of freedom naturally live on…

High Energy Physics - Theory · Physics 2020-01-22 Latham Boyle , Madeline Dickens , Felix Flicker

Quasinormal modes characterise the transient response of static optical cavities. Here, we introduce the notion of a Floquet quasinormal mode to describe transient responses in photonic time crystals. Contrasting their static counterparts,…

Optics · Physics 2025-10-15 Calvin M. Hooper , Ian R. Hooper , Simon A. R. Horsley

We study dissipation in holographic superfluids at finite temperature and zero chemical potential. The zero overlap with the heat current allows us to isolate the physics of the conserved current corresponding to the broken global $U(1)$.…

High Energy Physics - Theory · Physics 2021-10-04 Aristomenis Donos , Polydoros Kailidis , Christiana Pantelidou