Superconductivity from gauge/gravity duality with flavor

Details Superconductivity from gauge/gravity duality with flavor Superconductivity from gauge/gravity duality with flavor

2008-10-14

arxiv.org/abs/0810.2316v2

Phys.Lett.B680:516-520,2009

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 5 figures

Scientific paper

10.1016/j.physletb.2009.09.029

We consider thermal strongly-coupled N=2 SYM theory with fundamental matter at finite isospin chemical potential. Using gauge/gravity duality, i.e. a probe of two flavor D7-branes embedded in the AdS black hole background, we find a critical temperature at which the system undergoes a second order phase transition. The critical exponent of this transition is one half and coincides with the result from mean field theory. In the thermodynamically favored phase, a flavor current acquires a vev and breaks an Abelian symmetry spontaneously. This new phase shows signatures known from superconductivity, such as an infinite dc conductivity and a gap in the frequency-dependent conductivity. The gravity setup allows for an explicit identification of the degrees of freedom in the dual field theory, as well as for a dual string picture of the condensation process.

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