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Very general holographic superconductors and entanglement thermodynamics

A preprint version of the article is available at arXiv.

Abstract

We construct and analyze holographic superconductors with generalized higher derivative couplings, in single R-charged black hole backgrounds in four and five dimensions. These systems, which we call very general holographic superconductors, have multiple tuning parameters and are shown to exhibit a rich phase structure. We establish the phase diagram numerically as well as by computing the free energy, and then validated the results by calculating the entanglement entropy for these systems. The entanglement entropy is shown to be a perfect indicator of the phase diagram. The differences in the nature of the entanglement entropy in R-charged backgrounds compared to the AdS-Schwarzschild cases are pointed out. We also compute the analogue of the entangling temperature for a subclass of these systems and compare the results with non-hairy backgrounds.

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Correspondence to Tapobrata Sarkar.

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ArXiv ePrint: 1409.5309

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Dey, A., Mahapatra, S. & Sarkar, T. Very general holographic superconductors and entanglement thermodynamics. J. High Energ. Phys. 2014, 135 (2014). https://doi.org/10.1007/JHEP12(2014)135

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  • DOI: https://doi.org/10.1007/JHEP12(2014)135

Keywords

  • Holography and condensed matter physics (AdS/CMT)
  • Gauge-gravity correspondence
  • AdS-CFT Correspondence