One-dimensional holographic superconductor from AdS_3/CFT_2 correspondence

Details One-dimensional holographic superconductor from AdS_3/CFT_2 correspondence One-dimensional holographic superconductor from AdS_3/CFT_2 correspondence

2010-08-23

arxiv.org/abs/1008.3904v3

JHEP 1011:055,2010

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 7 figures; v2: minor corrections; v3: published version

Scientific paper

10.1007/JHEP11(2010)055

We obtain a holographical description of a superconductor by using the d=2 case of the AdS_{d+1}/CFT_d correspondence. The gravity system is a (2+1)-dimensional AdS black hole coupled to a Maxwell field and charged scalar. The dual (1+1)-dimensional superconductor will be strongly correlated. The characteristic exponents for vector perturbations at the boundary degenerate, which implies that d=2 is a critical dimension and the Green's function needs to be regularized. In the normal phase, the current-current correlation function and the conductivity can be analytically solved at zero chemical potential. The dc conductivity can be analytically solved at finite chemical potential. When we add a scalar hair to the black hole, a charged condensate happens at low temperatures. We compare our results with higher-dimensional cases.

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