Doped Holographic Superconductors in Gubser-Rocha model

TL;DR

This paper constructs a doped holographic superconductor within the Gubser-Rocha model, revealing a superconducting dome that shrinks at low temperatures and highlighting the importance of gauge field coupling in phase diagram formation.

Contribution

It introduces a novel doped holographic superconductor model with a shrinking dome and analyzes the role of gauge field coupling in the phase diagram.

Findings

Superconducting dome appears in the phase diagram.

Dome shrinks inward near zero temperature.

Resistivity is proportional to temperature in the normal phase.

Abstract

We construct a doped holographic superconductor in the Gubser-Rocha model, and realize a superconducting dome in the middle of the temperature-doping phase diagram. It is worth noting that unlike the previous researches, the profile of our dome shrinks inward near zero temperature. From the numerical observation for the coupling dependence of the phase diagram, we find that the coupling between the two gauge fields plays a crucial role in the formation of dome. We also analytically calculate the DC conductivity of the normal phase of the system in the momentum dissipation and obtain the resistivity which is proportional to temperature. The AC conductivity is calculated numerically.