Holographic Pair and Charge Density Waves

Abstract

We examine a holographic model in which a U(1) symmetry and translational invariance are broken spontaneously at the same time. Our construction provides an example of a system with pair-density wave order, in which the superconducting order parameter is spatially modulated but has a zero average. In addition, the charge density oscillates at twice the frequency of the scalar condensate. Depending on the choice of parameters, the model also admits a state with co-existing superconducting and charge density wave orders, in which the scalar condensate has a uniform component.

6 pages, 4 figures

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• The Physics of Pair Density Waves
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• Generalised global symmetries in states with dynamical defects: the case of the transverse sound in field theory and holography
• Intertwined order and holography: the case of the parity breaking pair density wave
• Pinning of longitudinal phonons in holographic spontaneous helices
• Colloquium: Hydrodynamics and holography of charge density wave phases
• Gapless and gapped holographic phonons
• Magnetophonons & type-B Goldstones from Hydrodynamics to Holography
• Homogeneous Holographic Viscoelastic Models & Quasicrystals
• A simple holographic model for spontaneous breaking of translational symmetry
• Holographic Spectral Functions with Momentum Relaxation
• Holographic Fermions in Striped Phases
• Hyperscaling Violating Solutions in Generalised EMD Theory
• Incoherent conductivity of holographic charge density waves
• Spectral Weight Suppression and Fermi Arc-like Features with Strong Holographic Lattices
• Magnetotransport and Complexity of Holographic Metal-Insulator Transitions
• Holographic superconductor induced by charge density waves
• Kink Crystalline Condensate and Multi-kink Solution in Holographic Superconductor
• Flavours and Infra-red Instability in Holography
• Twisted kink crystal in holographic superconductor
• Holographic striped superconductor
• Mechanical stability of homogeneous holographic solids under finite shear strain
• Holographic Fermi surfaces in charge density wave from D2-D8
• Holographic charge density wave from D2-D8
• Hydrodynamic modes in holographic multiple-axion model
• The commensurate state and lock-in in a holographic model
• Holographic transports from Born-Infeld electrodynamics with momentum dissipation
• The instability of $AdS$ black holes with lattices