Holographic Superconductor/Insulator Transition at Zero Temperature

Shinsei Ryu; Tadashi Takayanagi; Tatsuma Nishioka

arxiv: 0911.0962 · v3 · submitted 2009-11-05 · ✦ hep-th · cond-mat.str-el· gr-qc

Holographic Superconductor/Insulator Transition at Zero Temperature

Tatsuma Nishioka , Shinsei Ryu , Tadashi Takayanagi This is my paper

classification ✦ hep-th cond-mat.str-elgr-qc

keywords transitionfieldgaugeinsulatorsuperconductortemperaturezeroaccount

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We analyze the five-dimensional AdS gravity coupled to a gauge field and a charged scalar field. Under a Scherk-Schwarz compactification, we show that the system undergoes a superconductor/insulator transition at zero temperature in 2+1 dimensions as we change the chemical potential. By taking into account a confinement/deconfinement transition, the phase diagram turns out to have a rich structure. We will observe that it has a similarity with the RVB (resonating valence bond) approach to high-Tc superconductors via an emergent gauge symmetry.

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