Holographic d-wave superconductors

TL;DR

This paper develops holographic models for d-wave superfluids using charged spin two fields in black hole backgrounds, analyzing phase conditions and competition with other superfluid phases.

Contribution

It introduces top-down holographic models for d-wave superfluids with detailed analysis of phase conditions and phase competition.

Findings

Conditions on mass and charge for d-wave phase formation

Existence of condensed phase near transition temperature

Competition between d-wave and s-wave superfluid phases

Abstract

We construct top down models for holographic d-wave superfluids in which the order parameter is a charged spin two field in the bulk. Close to the transition temperature the condensed phase can be captured by a charged spin two field in an R-charged black hole background (downstairs picture) or equivalently by specific graviton perturbations of a spinning black brane (upstairs picture). We analyse the necessary conditions on the mass and the charge of the spin two field for a condensed phase to exist and we discuss the competition of the d-wave phase with other phases such as s-wave superfluids.