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Building a Holographic Superconductor

Sean A. HartnollKITP, University of California Santa Barbara, Santa Barbara, California 93106, USAChristopher P. HerzogDepartment of Physics, Princeton University, Princeton, New Jersey 08544, USAGary T. HorowitzDepartment of Physics, University of California Santa Barbara, Santa Barbara, California 93106, USA
2008en
ABI

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We show that a simple gravitational theory can provide a holographically dual description of a superconductor. There is a critical temperature, below which a charged condensate forms via a second order phase transition and the (dc) conductivity becomes infinite. The frequency dependent conductivity develops a gap determined by the condensate. We find evidence that the condensate consists of pairs of quasiparticles.

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