Homogeneous holographic viscoelastic models and quasicrystals
Matteo Baggioli
Abstract
This paper shows that field theories dual to the homogeneous holographic models with spontaneously broken translations display several distinctive properties of quasicrystals, aperiodic crystals with long-range order. This interpretation suggests that the longitudinal diffusive mode, observed in the spectrum of excitations of these systems, is the diffusive Goldstone boson typical of quasicrystals -- the phason.
Topics & Concepts
QuasicrystalAperiodic graphHomogeneousGoldstone bosonPhysicsInterpretation (philosophy)HolographyField (mathematics)Condensed matter physicsViscoelasticityPhasonTheoretical physicsOpticsSpectrum (functional analysis)Field theory (psychology)Work (physics)Classical mechanicsBosonStatistical physicsFrequency spectrumQuantum mechanicsDuality (order theory)Dual (grammatical number)Phase (matter)InfinityQuasicrystal Structures and PropertiesNonlinear Photonic SystemsTopological Materials and Phenomena