Homogeneous Holographic Viscoelastic Models & Quasicrystals
arXiv:2001.06228 · doi:10.1103/PhysRevResearch.2.022022
Abstract
We show that the field theories dual to the homogeneous holographic models with spontaneously broken translations display several distinctive properties of quasicrystals, aperiodic crystals with long-range order (e.g. incommensurate charge density waves). 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. Moreover, following this idea, and using the effective field theory formalism for Goldstone modes in dissipative systems, we are able to derive the universal phase relaxation found in these holographic models in presence of a small source of explicit breaking (pseudo-spontaneous regime).
arXiv commentMatching the published version as a Rapid Communication in Physical Review Research
References in corpus (52)
- A simple holographic model of momentum relaxation
- Unified Description of Nambu-Goldstone Bosons without Lorentz Invariance
- Holographic Q-lattices
- Holographic duality and the resistivity of strange metals
- Constraints on symmetry from holography
- Holographic Polarons, the Metal-Insulator Transition and Massive Gravity
- Fluctuating charge density waves in a cuprate superconductor
- Viscoelastic hydrodynamics and holography
- The thermoelectric properties of inhomogeneous holographic lattices
- Holographic Phonons
- Solid Holography and Massive Gravity
- Effective Lagrangian for Nonrelativistic Systems
- Theory of hydrodynamic transport in fluctuating electronic charge density wave states
- Black hole elasticity and gapped transverse phonons in holography
- Counting Rules of Nambu-Goldstone Modes
- Bad Metals from Fluctuating Density Waves
- A Practical Mini-Course on Applied Holography
- Effective holographic theory of charge density waves
- Generalised global symmetries in states with dynamical defects: the case of the transverse sound in field theory and holography
- Doping the holographic Mott insulator
- DC resistivity of quantum critical, charge density wave states from gauge-gravity duality
- Pinning of longitudinal phonons in holographic spontaneous helices
- A holographic perspective on phonons and pseudo-phonons
- Extremal Horizons with Reduced Symmetry: Hyperscaling Violation, Stripes, and a Classification for the Homogeneous Case
- Universal relaxation in a holographic metallic density wave phase
- A Unified Description of Translational Symmetry Breaking in Holography
- Gapless and gapped holographic phonons
- Zoology of Solid & Fluid Holography : Goldstone Modes and Phase Relaxation
- Conformal Quasicrystals and Holography
- Spontaneous symmetry breaking and Nambu-Goldstone modes in dissipative systems
- Holographic Pair and Charge Density Waves
- Minimally packed phases in holography
- Diffusion and universal relaxation of holographic phonons
- Commensurability effects in holographic homogeneous lattices
- Incoherent transport for phases that spontaneously break translations
- Longitudinal Sound and Diffusion in Holographic Massive Gravity
- Conformal solids and holography
- Commensurate lock-in in holographic non-homogeneous lattices
- Viscoelastic Dynamics in Holography
- Spontaneous symmetry breaking and Nambu-Goldstone modes in open classical and quantum systems
- Coherent vs incoherent transport in holographic strange insulators
- Nonlinear Oscillatory Shear Tests in Viscoelastic Holography
- Incoherent hydrodynamics and density waves
- Hydrodynamics of broken global symmetries in the bulk
- Intertwined Orders in Holography: Pair and Charge Density Waves
- Scale invariant solids
- Spatially Modulated Vacua in a Lorentz-invariant Scalar Field Theory
- Diffusion for Holographic Lattices
- Simplest phonons and pseudo-phonons in field theory
- Temporally, Spatially or Light-like Modulated Vacua in Lorentz Invariant Theories
- Phonon and Shifton from a Real Modulated Scalar
- Holographic discommensurations
Cited by in corpus (28)
- Holographic Axion Model: a simple gravitational tool for quantum matter
- Colloquium: Hydrodynamics and holography of charge density wave phases
- Deformations, relaxation and broken symmetries in liquids, solids and glasses: a unified topological field theory
- Bound of diffusion constants from pole-skipping points: spontaneous symmetry breaking and magnetic field
- Hydrodynamics for charge density waves and their holographic duals
- Magnetophonons & type-B Goldstones from Hydrodynamics to Holography
- Universal Bounds on Transport in Holographic Systems with Broken Translations
- Effective Field Theory for Quasicrystals and Phasons Dynamics
- Pseudo-spontaneous Symmetry Breaking in Hydrodynamics and Holography
- Damping of Pseudo-Goldstone Fields
- On the universality of AdS diffusion bounds and the breakdown of linearized hydrodynamics
- Hydrodynamic magneto-transport in charge density wave states
- Non-linear elasticity, yielding and entropy in amorphous solids
- Approximate symmetries, pseudo-Goldstones, and the second law of thermodynamics
- Pion dynamics in a soft-wall AdS-QCD model
- U(1) quasi-hydrodynamics: Schwinger-Keldysh effective field theory and holography
- Magnetotransport and Complexity of Holographic Metal-Insulator Transitions
- Atomic diffusion due to hyperatomic fluctuation for quasicrystals
- Black Rubber and the Non-linear Elastic Response of Scale Invariant Solids
- Phase relaxation and pattern formation in holographic gapless charge density waves
- Quasinormal modes of a semi-holographic black brane and thermalization
- Incoherent hydrodynamics of density waves in magnetic fields
- Transverse Goldstone mode in holographic fluids with broken translations
- Rainbow Nambu-Goldstone modes under a shear flow
- Universality of pseudo-Goldstone damping near critical points
- Thermoelectric transport properties of gapless pinned charge density waves
- Hydrodynamic modes in holographic multiple-axion model
- Hydrodynamic magneto-transport in holographic charge density wave states