(Un)balanced holographic superconductors with electric and spin motive force coupling

TL;DR

This paper explores holographic phase transitions in (2+1) dimensions involving coupled electric and spin gauge fields, introducing a new analytical black hole solution and analyzing scalar hair formation to model balanced and unbalanced superconductors.

Contribution

It presents a novel analytical Einstein-Maxwell solution with non-trivial charge relations and investigates scalar hair formation in coupled gauge field systems.

Findings

New analytical black hole solution with non-equivalent charges

Formation of scalar hair on uncharged black holes

Dual description of balanced and unbalanced superconductors

Abstract

We study holographic phase transitions in (2+1) dimensions that possess interacting phases which result from a direct coupling between the two U(1) gauge fields. This can be interpreted as a non-minimal interaction between the electric and spin motive forces of the dual model. We first present a new analytical solution of the Einstein-Maxwell equations that describes a black hole with charge non-equivalent to the sum of the asymptotic charges of the two U(1) gauge fields and briefly discuss formation of uncharged scalar hair on this solution. We then study the formation of charged scalar hair on an uncharged black hole background and discuss the dual description of balanced as well as unbalanced superconductors.