Holographic models with anisotropic scaling

6th International Symposium on Quantum Theory and Symmetries

Brynjolfsson, E.J.^1 ; Danielsson, U.H.^2 ; Thorlacius, L.^1,3 ; Zingg, T.^1,3

University of Iceland, Science Institute, Dunhaga 3, IS-107 Reykjavik, Iceland^1

Institutionen för Fysik Och Astronomi, Uppsala Universitet, Box 803, SE-751 08 Uppsala, Sweden^2

NORDITA, Roslagstullsbacken 23, SE-106 91 Stockholm, Sweden^3

关键词: Condensed-matter theory;    Fixed charge density;    Holographic superconductors;    Non-degenerate horizons;    Quantum critical points;    Space time geometry;    Strongly correlated electron system;    Superconducting phase;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/462/1/012055/pdf
DOI  :  10.1088/1742-6596/462/1/012055

来源: IOP

【 摘 要 】

We consider gravity duals to d+1 dimensional quantum critical points with anisotropic scaling. The primary motivation comes from strongly correlated electron systems in condensed matter theory but the main focus of the present paper is on the gravity models in their own right. Physics at finite temperature and fixed charge density is described in terms of charged black branes. Some exact solutions are known and can be used to obtain a maximally extended spacetime geometry, which has a null curvature singularity inside a single non-degenerate horizon, but generic black brane solutions in the model can only be obtained numerically. Charged matter gives rise to black branes with hair that are dual to the superconducting phase of a holographic superconductor. Our numerical results indicate that holographic superconductors with anisotropic scaling have vanishing zero temperature entropy when the back reaction of the hair on the brane geometry is taken into account.