Holographic superconductors with hyperscaling violation

Understand

We investigate holographic superconductors in asympototically geometries with hyperscaling violation.

• The mass of the scalar field decouples from the UV dimension of the dual scalar operator and can be chosen as negative as we want, without disturbing the Breitenlohner-Freedman bound.
• We first numerically find that the scalar condenses below a critical temperature and a gap opens in the real part of the conductivity, indicating the onset of superconductivity.
• We further analytically explore the effects of the hyperscaling violation on the superconducting transition temperature.