Holographic Lifshitz superconductors: Analytic solution

Abstract

We construct an analytic solution for a one-parameter family of holographic superconductors in asymptotically Lifshitz spacetimes. We utilize this solution to explore various properties of the systems such as (1) the superfluid phase background and the grand canonical potential, (2) the order parameter response function or the susceptibility, (3) the London equation, (4) the background with a superfluid flow or a magnetic field. From these results, we identify the dual Ginzburg-Landau theory including numerical coefficients. Also, the dynamic critical exponent $z_d$ associated with the critical point is given by $z_d=2$ irrespective of the value of the Lifshitz exponent $z$.

17 pages, ReVTeX4.1; v2: a few clarifications; dedicated to the memory of Joe Polchinski

References in corpus (11)

• Building an AdS/CFT superconductor
• Non-relativistic holography
• Holographic model of superfluidity
• An Analytic Holographic Superconductor
• Defect formation beyond Kibble-Zurek mechanism and holography
• Universal far-from-equilibrium Dynamics of a Holographic Superconductor
• Characteristic length of an AdS/CFT superconductor
• Dynamic critical phenomena in the AdS/CFT duality
• Holographic superconductors with $z=2$ Lifshitz scaling
• Lifshitz quasinormal modes and relaxation from holography
• Dynamic universality class of large-N gauge theories

Cited by in corpus (11)

• Lifshitz scaling effects on the holographic p-wave superconductors coupled to nonlinear electrodynamics
• Informational properties of holographic Lifshitz field theory
• Formation and critical dynamics of topological defects in Lifshitz holography
• Scalar fields and Lifshitz black holes from Derrick's theorem evasion
• Vortex structure deformation of rotating Lifshitz Holographic Superconductors
• Vortices in a rotating holographic superfluid with Lifshitz scaling
• Charged Lifshitz black holes from general covariance breaking
• A new rotating axionic AdS${}_4$ black hole dressed with a scalar field
• Lifshitz scaling effects on the holographic paramagnetic-ferromagnetic phase transition
• Gravitational quasinormal modes for Lifshitz black branes
• Effects of background rotation and anisotropy in the holographic description of type-II superconductors