Quantum phase transitions in holographic models of magnetism and superconductors
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24 pages
Published in:
- Phys.Rev.D 82 (2010) 045002
e-Print:
- 1003.0010 [hep-th]
Report number:
- MIT-CTP-4126
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Abstract: (arXiv)
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.Note:
- 24 pages; v2: references added, typos corrected
- 11.10.Wx
- superconductivity: holography
- black hole: anti-de Sitter
- dimension: conformal
- charge: electric
- symmetry: SU(2)
- charge: density
- condensation
- critical phenomena
- spin
References(69)
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