Quantum phase transitions in holographic models of magnetism and superconductors

Details Quantum phase transitions in holographic models of magnetism and superconductors Quantum phase transitions in holographic models of magnetism and superconductors

2010-03-01

arxiv.org/abs/1003.0010v2

Physics

High Energy Physics

High Energy Physics - Theory

24 pages; v2: references added, typos corrected

Scientific paper

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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