Scale invariant solids
arXiv:1910.05281 · doi:10.1103/PhysRevD.101.086005
Abstract
Scale invariance (SI) can in principle be realized in the elastic response of solid materials. There are two basic options: that SI is a manifest symmetry or that it is spontaneously broken. The manifest case corresponds physically to the existence of a non-trivial infrared fixed point with phonons among its degrees of freedom. We use simple bottom-up AdS/CFT constructions to model this case. We characterize the types of possible elastic response and discuss how the sound speeds can be realistic, that is, sufficiently small compared to the speed of light. We also study the spontaneously broken case using Effective Field Theory (EFT) methods. We present a new one-parameter family of nontrivial EFTs that includes the previously known `conformal solid' as a particular case as well as others which display small sound speeds. We also point out that an emergent Lorentz invariance at low energies could affect by order-one factors the relation between sound speeds and elastic moduli.
matching the version published in PRD
References in corpus (61)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Lecture Notes on Holographic Renormalization
- Supercooled Liquids for Pedestrians
- A simple holographic model of momentum relaxation
- How to go with an RG Flow
- Null energy condition and superluminal propagation
- EPFL Lectures on Conformal Field Theory in D>= 3 Dimensions
- Spontaneously Broken Spacetime Symmetries and Goldstone's Theorem
- Holography without translational symmetry
- Holographic Polarons, the Metal-Insulator Transition and Massive Gravity
- Holographic Lattices Give the Graviton a Mass
- Lorentz Violation in Supersymmetric Field Theories
- Relativistic Fluids, Superfluids, Solids and Supersolids from a Coset Construction
- Viscoelastic hydrodynamics and holography
- Universal origin of boson peak vibrational anomalies in ordered crystals and in amorphous materials
- Renormalization group in Lifshitz-type theories
- Holography and hydrodynamics with weakly broken symmetries
- Holographic Phonons
- Viscosity bound violation in holographic solids and the viscoelastic response
- Solid Holography and Massive Gravity
- Theory of hydrodynamic transport in fluctuating electronic charge density wave states
- Entropy production, viscosity bounds and bumpy black holes
- Scale and conformal invariance in field theory: a physical counterexample
- Black hole elasticity and gapped transverse phonons in 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
- Pinning of longitudinal phonons in holographic spontaneous helices
- Shear viscosity in holography and effective theory of transport without translational symmetry
- Naturally light dilatons from nearly marginal deformations
- On Effective Holographic Mott Insulators
- Phonons as Goldstone Bosons
- Universal relaxation in a holographic metallic density wave phase
- A Unified Description of Translational Symmetry Breaking in Holography
- Phases of holographic superconductors with broken translational symmetry
- Relativity Restored: Dirac Anisotropy in QED
- On holographic disorder-driven metal-insulator transitions
- Tutorial on Scale and Conformal Symmetries in Diverse Dimensions
- Zoology of Solid & Fluid Holography : Goldstone Modes and Phase Relaxation
- Emergent Lorentz invariance from Strong Dynamics: Holographic examples
- The emergence of a universal limiting speed
- Supersymmetric Aether
- Symmetric Superfluids
- Under The Dome: Doped holographic superconductors with broken translational symmetry
- Maxwell interpolation and close similarities between liquids and holographic models
- Longitudinal Sound and Diffusion in Holographic Massive Gravity
- Low frequency propagating shear waves in holographic liquids
- Conformal solids and holography
- Viscoelastic Dynamics in Holography
- The holographic dilaton
- Holographic Plasmon Relaxation with and without Broken Translations
- Elasticity bounds from Effective Field Theory
- Drag phenomena from holographic massive gravity
- Low-energy optical phonons induce glassy-like vibrational and thermal anomalies in ordered crystals
- Lorentz Violation from the Higgs Portal
- Holographic Viscoelastic Hydrodynamics
- Glass-induced enhancement of superconducting : Pairing via dissipative mediators
- On the matching method and the Goldstone theorem in holography
- Thermomechanical Behavior of the HL-LHC 11 Tesla Nb3Sn Magnet Coil Constituents during Reaction Heat Treatment
- Glass-like features of crystalline solids in the quantum critical regime
- Viscosity Bound Violation in Viscoelastic Fermi Liquids
- Elastic properties of few unit cell thick superconducting crystals of BiSrCaCuO
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- Effective Field Theory for Quasicrystals and Phasons Dynamics
- Homogeneous Holographic Viscoelastic Models & Quasicrystals
- On the Hydrodynamic Description of Holographic Viscoelastic Models
- Non-linear elasticity, yielding and entropy in amorphous solids
- Stress in ordered systems: Ginzburg-Landau type density field theory
- Holographic Supersolids
- Black Rubber and the Non-linear Elastic Response of Scale Invariant Solids
- Thermoelectric Transport in Holographic Quantum Matter under Shear Strain
- Non-equilibrium dynamics in Holography
- Mechanical stability of homogeneous holographic solids under finite shear strain
- Gapped dilatons in scale invariant superfluids
- Hydrodynamic modes in holographic multiple-axion model