Holographic superconductor/insulator transition at zero temperature. (English) Zbl 1271.81145
Summary: 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-\(T_c\) superconductors via an emergent gauge symmetry.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 83C57 | Black holes |
| 83E15 | Kaluza-Klein and other higher-dimensional theories |
| 81V17 | Gravitational interaction in quantum theory |
| 82D55 | Statistical mechanics of superconductors |
| 82B26 | Phase transitions (general) in equilibrium statistical mechanics |
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