Superconductivity from gauge/gravity duality with flavor

M Ammon, J Erdmenger, M Kaminski, P Kerner - Physics Letters B, 2009 - Elsevier
Physics Letters B, 2009Elsevier
We consider thermal strongly-coupled N= 2 SYM theory with fundamental matter at finite
isospin chemical potential. Using gauge/gravity duality, ie 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 …
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.
Elsevier
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