Hydrodynamics of Holographic Superconductors

Understand

We study the poles of the retarded Green functions of a holographic superconductor.

• The model shows a second order phase transition where a charged scalar operator condenses and a U(1) symmetry is spontaneously broken.
• The poles of the holographic Green functions are the quasinormal modes in an AdS black hole background.
• We study the spectrum of quasinormal frequencies in the broken phase, where we establish the appearance of a massless or hydrodynamic mode at the critical temperature as expected for a second order phase transition.