Holographic superconductors at zero density

Abstract

We construct holographic superconductors at zero density. The model enjoys a luxury property that the background geometry dual to the ground state is analytically available. It has a hyperscaling-violating geometry in the IR and is asymptotically AdS in the UV. Classification by IR geometries gives new insights on supergravity solutions. We numerically construct the finite temperature solution of hairy black holes and verify the phase transition by tuning a double-trace deformation parameter. For a holographic superconductor from M-theory, we obtain an analytic solution of the AC conductivity, which explicitly shows a superconducting delta function and a hard gap.

25 pages, 6 figures, jheppub; v2: slightly improved version; v3: published version

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Cited by in corpus (4)

• Electric conductivity in non-Hermitian holography
• Doped Holographic Superconductors in Gubser-Rocha model
• Thermodynamics, magnetic properties, and global $U(1)$ symmetry breaking of the S-type Gubser-Rocha model
• Dependence of the critical temperature and disorder in holographic superconductors on superfluid density