Engineering Holographic Superconductor Phase Diagrams

TL;DR

This paper presents a method to engineer holographic models that replicate high-temperature superconductor phase diagrams, including features like superconducting domes and antiferromagnetic phases, by manipulating bulk fields and order parameters.

Contribution

It introduces a bulk field acting as a tunable doping parameter and demonstrates how to design phase diagrams with desired features using multiple order parameters.

Findings

Successfully generated phase diagrams with superconducting domes.

Modeled antiferromagnetic phases within the holographic framework.

Discussed potential for describing pseudogap phases without extra order parameters.

Abstract

We study how to engineer holographic models with features of a high temperature superconductor phase diagram. We introduce a field in the bulk which provides a tunable "doping" parameter in the boundary theory. By designing how this field changes the effective masses of other order parameter fields, desired phase diagrams can be engineered. We give examples of generating phase diagrams with phase boundaries similar to a superconducting dome and an anti-ferromagnetic phase by including two order parameter fields. We also explore whether the pseudo gap phase can be described without adding another order parameter field and discuss the potential scaling symmetry associated with a quantum critical point hidden under the superconducting dome in this phase diagram.