Colloquium: Hydrodynamics and holography of charge density wave phases

Abstract

In this Colloquium, we review recent progress in the effective description of strongly-correlated phases of matter with spontaneously broken translations, such as charge density waves or Wigner crystals. In real materials, disorder is inevitable and pins the Goldstones of broken translations. We describe how pinning can be incorporated in the effective field theory at low energies, without making any assumption on the presence of boost symmetry. We review the essential role played by gauge-gravity duality models in establishing these effective field theories with only approximate symmetries. We close with a discussion on the relevance of these models for the phenomenology of dc and ac transport in strongly-correlated strange and bad metals, such as high temperature superconductors.

final version accepted in Review of Modern Physics

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• Possible enhancement of the superconducting $T_c$ due to sharp Kohn-like soft phonon anomalies
• U(1) quasi-hydrodynamics: Schwinger-Keldysh effective field theory and holography
• Motion of a superfluid vortex according to holographic quantum dissipation
• Collective dynamics and the Anderson-Higgs mechanism in a bona fide holographic superconductor
• Kasner interiors from analytic hairy black holes
• T-linear resistivity, optical conductivity and Planckian transport for a holographic local quantum critical metal in a periodic potential
• Inability of linear axion holographic Gubser-Rocha model to capture all the transport anomalies of strange metals
• Entanglement entropy as an order parameter for strongly coupled nodal line semimetals
• Anharmonic theory of superconductivity and its applications to emerging quantum materials
• Hydrodynamics of plastic deformations in electronic crystals
• Holographic dissipative space-time supersolids
• Scalarization of planar anti de Sitter charged black holes in Einstein-Maxwell-Scalar theory
• From non-metal to strange metal at the stripe-percolation transition in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Non-dissipative electrically driven fluids
• On pole-skipping with gauge-invariant variables in holographic axion theories
• Glassy heat capacity from overdamped phasons and a hypothetical phason-induced superconductivity in incommensurate structures
• Breaking rotations without violating the KSS viscosity bound
• Holographic superfluid with gauge-axion coupling
• Holographic fluids: a thermodynamic road to quantum physics
• Thermo-electric Transport of Dyonic Gubser-Rocha Black Holes
• Chiral magnetic waves in strongly coupled Weyl semimetals
• Holographic Schwinger-Keldysh effective field theories including a non-hydrodynamic mode
• Observation of fast sound in two-dimensional dusty plasma liquids
• Beyond Drude transport in hydrodynamic metals
• Deep learning-based holography for T-linear resistivity
• Holographic Lifshitz flows
• Phase transitions in a holographic superfluid model with non-linear terms beyond the probe limit
• Mechanical stability of homogeneous holographic solids under finite shear strain
• Nodal-antinodal dichotomy from anisotropic quantum critical continua in holographic models
• Hydrodynamic modes in holographic multiple-axion model
• Diagnosing quantum phase transition via holographic entanglement entropy at finite temperature
• Holographic timelike superconductor
• Temperature crossovers in the specific heat of amorphous magnets
• The commensurate state and lock-in in a holographic model
• Dissipation induced elastic-mode instability with topological excitation in holographic non-equilibrium steady cnoidal wave supersolid