Analytical study on holographic superfluid in AdS soliton background

TL;DR

This paper analytically investigates the phase transition of holographic superfluids in an AdS soliton background, revealing second-order transitions with mean-field critical exponents, and highlights the impact of gauge field components.

Contribution

It provides an analytical study of holographic superfluid phase transitions in AdS soliton backgrounds, including s-wave and p-wave models, using the Sturm-Liouville method.

Findings

Phase transition is always second order in AdS soliton background.

Critical exponent matches mean-field theory.

Spatial gauge field component hinders phase transition.

Abstract

We analytically study the holographic superfluid phase transition in the AdS soliton background by using the variational method for the Sturm-Liouville eigenvalue problem. By investigating the holographic s-wave and p-wave superfluid models in the probe limit, we observe that the spatial component of the gauge field will hinder the phase transition. Moreover, we note that, different from the AdS black hole spacetime, in the AdS soliton background the holographic superfluid phase transition always belongs to the second order and the critical exponent of the system takes the mean-field value in both s-wave and p-wave models. Our analytical results are found to be in good agreement with the numerical findings.