Intertwined order and holography: the case of the parity breaking pair density wave

Abstract

We present a minimal bottom-up extension of the Chern-Simons bulk action for holographic translational symmetry breaking that naturally gives rise to pair density waves. We construct stationary inhomogeneous black hole solutions in which both the U(1) symmetry and spatially translational symmetry are spontaneously broken at finite temperature and charge density. This novel solution provides a dual description of a superconducting phase intertwined with charge, current and parity orders.

arXiv commentv3: Revised version in which the rules of effective field theory are highlighted, to appear in Phys.Rev.Lett

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• Magnetic-field Induced Pair Density Wave State in the Cuprate Vortex Halo
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• Doping the holographic Mott insulator
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• Evolution of Charge and Pair Density Modulations in Overdoped Bi2Sr2CuO6+delta
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• Triplet Pair-Density Wave Superconductivity on the $\pi$-flux Square Lattice
• Spatially Modulated Vacua in a Lorentz-invariant Scalar Field Theory
• Chiral Magnets from String Theory
• Incoherent conductivity of holographic charge density waves
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• Magnetotransport and Complexity of Holographic Metal-Insulator Transitions
• Temporally, Spatially or Light-like Modulated Vacua in Lorentz Invariant Theories
• Constraining Non-Relativistic RG Flows with Holography
• Fragmented superconductivity in the Hubbard model as solitons in Ginzburg-Landau theory
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• High temperature AdS black holes are low temperature quantum phonon gases
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• Quantum many-body physics from a gravitational lens
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• The commensurate state and lock-in in a holographic model
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• Interaction induced quasi-particle spectrum and the origin of the pinning peak in holography
• Superconducting States and Intertwined Orders in Metallic Altermagnets