The Holographic Superconductor Vortex
Marc Montull, Alex Pomarol, Pedro J. Silva
TL;DR
This paper investigates vortex configurations in a holographic superconductor model, analyzing their properties and critical magnetic fields to understand the superconducting phase under external magnetic influence.
Contribution
It presents the first detailed study of vortex solutions in a holographic superconductor, including free energy, magnetization, and critical magnetic fields analysis.
Findings
Vortex configurations are energetically favorable within certain magnetic field ranges.
Calculated critical magnetic fields delineate the superconducting and normal phases.
The model provides insights into the magnetic response of holographic superconductors.
Abstract
A gravity dual of a superconductor at finite temperature has been recently proposed. We present the vortex configuration of this model and study its properties. In particular, we calculate the free energy as a function of an external magnetic field, the magnetization and the superconducting density. We also find the two critical magnetic fields that define the region in which the vortex configurations are energetically favorable.
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