Effective holographic theory of charge density waves
arXiv:1711.06610 · doi:10.1103/PhysRevD.97.086017
Abstract
We use Gauge/Gravity duality to write down an effective low energy holographic theory of charge density waves. We consider a simple gravity model which breaks translations spontaneously in the dual field theory in a homogeneous manner, capturing the low energy dynamics of phonons coupled to conserved currents. We first focus on the leading two-derivative action, which leads to excited states with non-zero strain. We show that including subleading quartic derivative terms leads to dynamical instabilities of AdS translation invariant states and to stable phases breaking translations spontaneously. We compute analytically the real part of the electric conductivity. The model allows to construct Lifshitz-like hyperscaling violating quantum critical ground states breaking translations spontaneously. At these critical points, the real part of the dc conductivity can be metallic or insulating.
arXiv commentv1: 20 pages + appendices, 3 figures. v2: various edits, references added, re-written as the long version of 1712.07994. v3: rewritten to include discussion of thermodynamically stable phases, typos corrected
References in corpus (72)
- Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
- Lectures on holographic methods for condensed matter physics
- Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
- Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
- Theory of Intertwined Orders in High Temperature Superconductors
- Lectures on Holographic Superfluidity and Superconductivity
- Magnetic-field-induced charge-stripe order in the high temperature superconductor YBa2Cu3Oy
- Causality Constraints on Corrections to the Graviton Three-Point Coupling
- Effective Holographic Theories for low-temperature condensed matter systems
- A simple holographic model of momentum relaxation
- Thermodynamics of Asymptotically Locally AdS Spacetimes
- Holographic Q-lattices
- Universal Charge Diffusion and the Butterfly Effect
- Universal Resistivity from Holographic Massive Gravity
- Charge transport in holography with momentum dissipation
- Momentum relaxation in holographic massive gravity
- Locally critical umklapp scattering and holography
- Ohm's Law at strong coupling: S duality and the cyclotron resonance
- Momentum dissipation and effective theories of coherent and incoherent transport
- Holographic Polarons, the Metal-Insulator Transition and Massive Gravity
- Holographic striped phases
- Thermoelectric DC conductivities from black hole horizons
- Novel metals and insulators from holography
- Relativistic Fluids, Superfluids, Solids and Supersolids from a Coset Construction
- Quantum Critical Transport and the Hall Angle
- Memory matrix theory of magnetotransport in strange metals
- Spatially modulated instabilities of magnetic black branes
- Dissecting holographic conductivities
- Holographic Phonons
- Thermo-electric transport in gauge/gravity models with momentum dissipation
- Viscosity bound violation in holographic solids and the viscoelastic response
- Coherent/incoherent metal transition in a holographic model
- Solid Holography and Massive Gravity
- Holographic helical superconductors
- Incoherent transport in clean quantum critical metals
- Theory of hydrodynamic transport in fluctuating electronic charge density wave states
- Holographic End-Point of Spatially Modulated Phase Transition
- Black hole elasticity and gapped transverse phonons in holography
- Analytic DC thermo-electric conductivities in holography with massive gravitons
- Holographic charge density waves
- Bad Metals from Fluctuating Density Waves
- Black holes dual to helical current phases
- Competing orders in M-theory: superfluids, stripes and metamagnetism
- Higher derivative corrections to incoherent metallic transport in holography
- Intertwined order and holography: the case of the parity breaking pair density wave
- Striped phases from holography
- Pinning of longitudinal phonons in holographic spontaneous helices
- Black branes dual to striped phases
- Magnetothermoelectric Response from Holography
- A holographic perspective on phonons and pseudo-phonons
- Holographic Checkerboards
- Magneto-transport from momentum dissipating holography
- On holographic disorder-driven metal-insulator transitions
- Holographic Pair and Charge Density Waves
- Minimally packed phases in holography
- Effective holographic theories of momentum relaxation and violation of conductivity bound
- Commensurability effects in holographic homogeneous lattices
- On the thermodynamics of periodic AdS black branes
- Universal thermal and electrical conductivity from holography
- Gravity dual of spin and charge density waves
- Commensurate lock-in in holographic non-homogeneous lattices
- Holographic pinning
- Holographic sliding stripes
- Proof of universality of electrical conductivity at finite chemical potential
- Intertwined Orders in Holography: Pair and Charge Density Waves
- Analytic pseudo-Goldstone bosons
- Towards a Holographic Quark Matter Crystal
- Diffusion in inhomogeneous media
- Spectral weight and spatially modulated instabilities in holographic superfluids
- Anatomy of new SUSY breaking holographic RG flows
- Spatially Modulated Instabilities for Scaling Solutions at Finite Charge Density
- Transport in a gravity dual with a varying gravitational coupling constant
Cited by in corpus (63)
- Viscoelastic hydrodynamics and holography
- Holographic Phonons
- Holographic Axion Model: a simple gravitational tool for quantum matter
- Generalised global symmetries in states with dynamical defects: the case of the transverse sound in field theory and holography
- DC resistivity of quantum critical, charge density wave states from gauge-gravity duality
- Universal relaxation in a holographic metallic density wave phase
- Colloquium: Hydrodynamics and holography of charge density wave phases
- Gapless and gapped holographic phonons
- 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
- Diffusion and universal relaxation of holographic phonons
- Incoherent transport for phases that spontaneously break translations
- Low frequency propagating shear waves in holographic liquids
- A Holographic Superfluid Symphony
- Homogeneous Holographic Viscoelastic Models & Quasicrystals
- A simple holographic model for spontaneous breaking of translational symmetry
- Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states
- Viscoelastic Dynamics in Holography
- Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
- On the Hydrodynamic Description of Holographic Viscoelastic Models
- Hydrodynamic magneto-transport in charge density wave states
- Nonlinear Oscillatory Shear Tests in Viscoelastic Holography
- Floquet Scalar Dynamics in Global AdS
- Incoherent hydrodynamics and density waves
- Dissipative hydrodynamics with higher-form symmetry
- Holographic reconstruction of black hole spacetime: machine learning and entanglement entropy
- Linear- resistivity at high temperature
- Quantum critical scaling and holographic bound for transport coefficients near Lifshitz points
- Holographic Viscoelastic Hydrodynamics
- Scale invariant solids
- Holographic transport and density waves
- Kasner interiors from analytic hairy black holes
- Incoherent conductivity of holographic charge density waves
- Low-energy modes in anisotropic holographic fluids
- Simplest phonons and pseudo-phonons in field theory
- Brane nucleation instabilities in non-AdS/non-CFT
- Holographic Supersolids
- Hydrodynamics of plastic deformations in electronic crystals
- Phase relaxation and pattern formation in holographic gapless charge density waves
- Phonon and Shifton from a Real Modulated Scalar
- Temporally, Spatially or Light-like Modulated Vacua in Lorentz Invariant Theories
- On the hydrodynamics of (2 + 1)-dimensional strongly coupled relativistic theories in an external magnetic field
- Holographic phonons by gauge-axion coupling
- Density response of holographic metallic IR fixed points with translational pseudo-spontaneous symmetry breaking
- Zero sound and higher-form symmetries in compressible holographic phases
- Linear- resistivity from low to high temperature: axion-dilaton theories
- Holographic superfluid with gauge-axion coupling
- Holographic superconductor induced by charge density waves
- A novel holographic quantum phase transition and butterfly velocity
- Incoherent hydrodynamics of density waves in magnetic fields
- Transverse Goldstone mode in holographic fluids with broken translations
- Fractons in effective field theories for spontaneously broken translations
- Non-equilibrium dynamics in Holography
- Thermoelectric transport properties of gapless pinned charge density waves
- Deep learning-based holography for T-linear resistivity
- Holographic Fermi surfaces in charge density wave from D2-D8
- Holographic charge density wave from D2-D8
- Gapped dilatons in scale invariant superfluids
- Hydrodynamic modes in holographic multiple-axion model
- Unitarity bound violation in holography and the Instability toward the Charge Density Wave
- Hydrodynamic magneto-transport in holographic charge density wave states