Hydrodynamics for charge density waves and their holographic duals

Abstract

We formulate a theory of dissipative hydrodynamics with spontaneously broken translations, describing charge density waves in a clean isotropic electronic crystal. We identify a novel linear transport coefficient, lattice pressure, capturing the effects of background strain and thermal expansion in a crystal. We argue that lattice pressure is a generic feature of systems with spontaneously broken translations and must be accounted for while building and interpreting holographic models. We also provide the first calculation of the coefficients of thermal and chemical expansion in a holographic electronic crystal.

arXiv commentv2: 7pp, added references and comments

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Cited by in corpus (23)

• Colloquium: Hydrodynamics and holography of charge density wave phases
• Magnetophonons & type-B Goldstones from Hydrodynamics to Holography
• Universal Bounds on Transport in Holographic Systems with Broken Translations
• Damping of Pseudo-Goldstone Fields
• On the Hydrodynamic Description of Holographic Viscoelastic Models
• Hydrodynamic magneto-transport in charge density wave states
• Approximate symmetries, pseudo-Goldstones, and the second law of thermodynamics
• Ideal fracton superfluids
• Effective field theory for non-relativistic hydrodynamics
• T-linear resistivity, optical conductivity and Planckian transport for a holographic local quantum critical metal in a periodic potential
• Hydrodynamics of plastic deformations in electronic crystals
• Holographic Supersolids
• Phase relaxation and pattern formation in holographic gapless charge density waves
• On the hydrodynamics of (2 + 1)-dimensional strongly coupled relativistic theories in an external magnetic field
• Non-dissipative electrically driven fluids
• Non-equilibrium effective field theory and second sound
• Aspects of univalence in holographic axion models
• Incoherent hydrodynamics of density waves in magnetic fields
• Non-equilibrium dynamics in Holography
• Thermoelectric transport properties of gapless pinned charge density waves
• Effective field theory for hydrodynamics without boosts
• Mechanical stability of homogeneous holographic solids under finite shear strain
• Hydrodynamic magneto-transport in holographic charge density wave states