Universality of critical magnetic field in holographic superconductor

Abstract

In this letter we study aspects of the holographic superconductors analytically in the presence of a constant external magnetic field. We show that the critical temperature and critical magnetic field can be calculated at nonzero temperature. We detect the Meissner effect in such superconductors. A universal relation between black hole mass $M$ and critical magnetic field $H_c$ is proposed as $\frac{H_c}{M^{2/3}}\le 0.687365$. We discuss some aspects of phase transition in terms of black hole entropy and the Bekenstein's entropy to energy upper bound.

Accepted version as a Letter

References in corpus (9)

• Building an AdS/CFT superconductor
• p-Wave holographic superconductors with Weyl corrections
• Holographic Entanglement Entropy in P-wave Superconductor Phase Transition
• Time Reversal Symmetry Breaking Holographic Superconductor in Constant External Magnetic Field
• Towards Complete Phase Diagrams of a Holographic P-wave Superconductor Model
• Holographic superconductors in a model of non-relativistic gravity
• d-Wave holographic superconductors with backreaction in external magnetic fields
• d-wave Holographic Superconductor Vortex Lattice and Non-Abelian Holographic Superconductor Droplet
• Isolated Vortex and Vortex Lattice in a Holographic p-wave Superconductor