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Quantum phase transitions in holographic models of magnetism and superconductors

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arxiv 1003.0010 v2 pith:5IJRPTE5 submitted 2010-03-01 hep-th cond-mat.str-el

classification hep-thcond-mat.str-el
keywords phaseholographicantiferromagneticchargedneutralorderquantumspin
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We study a holographic model realizing an "antiferromagnetic" phase in which a global SU(2) symmetry representing spin is broken down to a U(1) by the presence of a finite electric charge density. This involves the condensation of a neutral scalar field in a charged AdS black hole. We observe that the phase transition for both neutral and charged (as in the standard holographic superconductor) order parameters can be driven to zero temperature by a tuning of the UV conformal dimension of the order parameter, resulting in a quantum phase transition of the Berezinskii-Kosterlitz-Thouless type. We also characterize the antiferromagnetic phase and an externally forced ferromagnetic phase by showing that they contain the expected spin waves with linear and quadratic dispersions respectively.

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  1. Revisiting color superconductors in bottom-up holography

    hep-th 2025-01 conditional novelty 6.0 of 10

    A holographic model with a Wess-Zumino scalar-4-form coupling produces a color superconducting phase at finite density, with large color-group Higgsing.

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