Backreacting p-wave Superconductors

Abstract

We study the gravitational backreaction of the non-abelian gauge field on the gravity dual to a 2+1 p-wave superconductor. We observe that as in the $p+ip$ system a second order phase transition exists between a superconducting and a normal state. Moreover, we conclude that, below the phase transition temperature $T_c$ the lowest free energy is achieved by the p-wave solution. In order to probe the solution, we compute the holographic entanglement entropy. For both $p$ and $p+ip$ systems the entanglement entropy satisfies an area law. For any given entangling surface, the p-wave superconductor has lower entanglement entropy.

Minor Typos corrected, version published in JHEP

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• Entanglement Entropy as a Probe of the Proximity Effect in Holographic Superconductors
• Entanglement Entropy in Holographic P-Wave Superconductor/Insulator Model
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• Holographic p-wave Superconductor with Disorder
• Introductory notes on holographic superconductors
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• Hydrodynamic Modes of a holographic $p-$ wave superfluid
• Linear Resistivity from Non-Abelian Black Holes
• Holographic phase transitions from higgsed, non abelian charged black holes
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• Thermodynamical property of entanglement entropy and deconfinement phase transition
• On the stability of dyons and dyonic black holes in Einstein-Yang-Mills theory
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• Black holes with $\mathfrak{su}(N)$ gauge field hair and superconducting horizons
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• Fermionic spectral functions in backreacting p-wave superconductors at finite temperature
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