The holographic superconductors in higher-dimensional AdS soliton

Abstract

We explore the behaviors of the holographic superconductors at zero temperature for a charged scalar field coupled to a Maxwell field in higher-dimensional AdS soliton spacetime via analytical way. In the probe limit, we obtain the critical chemical potentials increase linearly as a total dimension $d$ grows up. We find that the critical exponent for condensation operator is obtained as 1/2 independently of $d$, and the charge density is linearly related to the chemical potential near the critical point. Furthermore, we consider a slightly generalized setup the Einstein-Power-Maxwell field theory, and find that the critical exponent for condensation operator is given as $1/(4-2n)$ in terms of a power parameter $n$ of the Power-Maxwell field, and the charge density is proportional to the chemical potential to the power of $1/(2-n)$.

LaTeX, 16 pages, 5 figures, typos corrected, one reference added, version to appear in European Physical Journal C

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• Striped phases in the holographic insulator/superconductor transition
• On analytical study of holographic superconductors with Born-Infeld electrodynamics
• Non-equilibrium condensation process in holographic superconductor with nonlinear electrodynamics
• Holographic paramagnetism-ferromagnetism phase transition with the nonlinear electrodynamics
• Holographic insulator/superconductor phase transitions with excited states
• Refractive index in generalized superconductors with Born-Infeld electrodynamics
• Holographic Superconductors in a Rotating Spacetime
• Effect of magnetic field on holographic insulator/superconductor phase transition in higher dimensional Gauss-Bonnet gravity
• Holographic insulator/superconductor phase transition in higher dimensional Gauss-Bonnet gravity
• Charged quantum Oppenheimer-Snyder model
• Holographic insulator/superconductor phase transition by matching method and thermodynamic geometry