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DC resistivity of quantum critical, charge density wave states from gauge-gravity duality

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arxiv 1712.07994 v2 pith:I3SCJN5P submitted 2017-12-21 hep-th cond-mat.str-el

classification hep-thcond-mat.str-el
keywords criticalchargedensityresistivitymomentumprocessesquantumstates
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abstract

In contrast to metals with weak disorder, the resistivity of weakly-pinned charge density waves (CDWs) is not controlled by irrelevant processes relaxing momentum. Instead, the leading contribution is governed by incoherent, diffusive processes which do not drag momentum and can be evaluated in the clean limit. We compute analytically the dc resistivity for a family of holographic charge density wave quantum critical phases and discuss its temperature scaling. Depending on the critical exponents, the ground state can be conducting or insulating. We connect our results to dc electrical transport in underdoped cuprate high $T_c$ superconductors. We conclude by speculating on the possible relevance of unstable, semi-locally critical CDW states to the strange metallic region.

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Cited by 4 Pith papers

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    Constructs a derivative expansion for linear response that matches multi-pole correlators while preserving hydrostaticity, then applies it to D3/D5 probe brane charge fluctuations to study quasihydrodynamic transport ...

  2. Disordered Charged Horizons

    hep-th 2025-09 conditional novelty 7.0 of 10

    Fully backreacted disordered charged black branes show disorder survives in the infrared of AdS4, producing residual resistivity, but decays in AdS3, indicating a Harris-criterion violation in strongly coupled systems.

  3. Viscoelastic hydrodynamics and holography

    hep-th 2019-08 accept novelty 7.0 of 10

    A first-order relativistic hydrodynamics of anisotropic viscoelastic crystals, including new transport coefficients, a dual higher-form superfluid description, and holographic realizations.

  4. Holographic striped superconductor with ionic lattice

    hep-th 2024-11 conditional novelty 5.0 of 10

    In a holographic model, a stronger ionic lattice suppresses the charge density wave phase, enhances the superconducting phase, and makes their coexisting striped superconducting state the most stable.

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