Analytical study of critical magnetic field in a holographic superconductor

Abstract

We analytically sutdy the effect of external magnetic field in a Holographic superconductor by using Sturm-Liouville method. We estimate the coefficient of proportionality at critical temperature and find its denpendence on external magnetic field. By exploring phase diagrams of critical temperature and magnetic field for various condensates, we conclude that a Meissner-like effect is a general feature in Holographic superconductors. We also study the quantum phase transition at zero temperature and find that critical charge density increases linearly with the condensate dimension.

11 pages, 3 figures, reference added

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Cited by in corpus (13)

• Introduction to Holographic Superconductor Models
• A Holographic Model of Two-Band Superconductor
• Notes on analytical study of holographic superconductors with Lifshitz scaling in external magnetic field
• Holographic superconductors with Weyl Corrections via gauge/gravity duality
• Holographic superconductors with Weyl corrections
• Construction of a Holographic Superconductor in F(R) Gravity
• The upper critical magnetic field of holographic superconductor with conformally invariant power-Maxwell electrodynamics
• Analytical holographic superconductors in $Ad{S}_N$ Lifshitz topological black holes
• Holographic superconductor with nonlinear arcsin-electrodynamics
• Meissner-like effect and conductivity of power-Maxwell holographic superconductors
• Analytic Study of First-Order Phase Transition in Holographic Superconductor and Superfluid
• Analytical study of the holographic superconductor from higher derivative theory
• Universality of critical magnetic field in holographic superconductor