The holographic superconductors in higher-dimensional AdS soliton

TL;DR

This paper analytically investigates zero-temperature holographic superconductors in higher-dimensional AdS soliton spacetimes, revealing how critical chemical potentials and exponents depend on the spacetime dimension and Power-Maxwell field parameters.

Contribution

It provides analytical results on critical chemical potentials, exponents, and charge density relations for holographic superconductors in higher dimensions and generalized Power-Maxwell fields.

Findings

Critical chemical potential increases linearly with dimension.

Critical exponent for condensation is 1/2, independent of dimension.

Charge density relates linearly to chemical potential near criticality.

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 $1/(2-n)$.