# Doped Holographic Superconductor in an External Magnetic Field

## TL;DR

This paper extends a holographic superconductor model by incorporating an external magnetic field, analyzing the resulting phase diagram and superconducting dome in specific parameter regimes.

## Contribution

It introduces a magnetic field into the doped holographic superconductor model and explores its effects on the superconducting phase diagram.

## Key findings

- Superconducting dome shape is affected by the magnetic field.
- In certain parameters, the doped model maps onto the undoped case.
- External magnetic field influences the phase transition behavior.

## Abstract

We add the magnetic field axis to the holographic model for a doped superconductor proposed by Kiritsis and Li. We explore the resulting superconducting dome, in a particular region of parameters in which the equations for the superconductor can be mapped into the previously known undoped case.