Holographic Lifshitz Superconductors with an Axion Field

Abstract

We use a Yang-Mills field coupled to an axion as probes of a black hole with arbitrary Lifshitz scaling to investigate, via holography, superconducting phase transitions of the dual theory with a $p_x+i{p}_y$ condensate. In the relativistic case with no axion, this phase is known to be unstable, the stable phase corresponding to condensates of the $p_x$ form. We investigate this stability in theories with non-relativistic scaling. Finally we numerically compute the "Hall" conductivity of these black holes in the non superconducting phase as a function of their Lifshitz scaling.

19 pages, 9 figures

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Cited by in corpus (11)

• Lifshitz effects on holographic $p$-wave superfluid
• Black branes in asymptotically Lifshitz spacetime and viscosity/entropy ratios in Horndeski gravity
• Holographic Conductivity for Logarithmic Charged Dilaton-Lifshitz Solutions
• Quasinormal modes of Four Dimensional Topological Nonlinear Charged Lifshitz Black Holes
• Revisiting holographic superconductors with hyperscaling violation
• Scalar Perturbations of Nonlinear Charged Lifshitz Black Branes with Hyperscaling Violation
• Fidelity susceptibility for Lifshitz geometries via Lifshitz Holography
• Optical properties of Born-Infeld-dilaton-Lifshitz holographic superconductors
• Excited states of holographic superconductors with hyperscaling violation
• Charged Lifshitz black holes from general covariance breaking
• Holographic superconductor in hyperscaling violation geometry with Maxwell-dilaton coupling