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Conductivity and entanglement entropy of high dimensional holographic superconductors


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Authors

García-García, AM 
Romero-Bermúdez, A 

Abstract

We investigate the dependence of the conductivity and the entanglement entropy on the space-time dimensionality d in two holographic superconductors: one dual to a quantum critical point with spontaneous symmetry breaking, and the other modeled by a charged scalar that condenses at a sufficiently low temperature in the presence of a Maxwell field. In both cases the gravity background is asymptotically Anti de Sitter (AdS). In the large d limit we obtain explicit analytical results for the conductivity at zero temperature and the entanglement entropy by a 1/d expansion. We show that the entanglement entropy is always smaller in the broken phase. As dimensionality increases, the entanglement entropy decreases, the coherence peak in the conductivity becomes narrower and the ratio between the energy gap and the critical temperature decreases. These results suggest that the condensate interactions become weaker in high spatial dimensions.

Description

Keywords

Black Holes, Holography and condensed matter physics (AdS/CMT), AdS-CFT Correspondence

Journal Title

Journal of High Energy Physics

Conference Name

Journal ISSN

1029-8479
1029-8479

Volume Title

33

Publisher

Springer Science and Business Media LLC
Sponsorship
Engineering and Physical Sciences Research Council (EP/I004637/1)