Phases of holographic superconductors with broken translational symmetry

TL;DR

This paper explores holographic superconductors within massive gravity models, revealing complex phase structures including superconducting, metallic, and pseudo-insulating phases, and discusses collective excitations and phase diagrams.

Contribution

It introduces a broad class of massive gravity backgrounds for holographic superconductors, analyzing their phase behavior and collective excitations with broken translational symmetry.

Findings

Multiple phases including superconducting, metallic, and pseudo-insulating states.

Presence of collective charge carrier excitations in different phases.

Dome-shaped superconducting region in the temperature-disorder phase diagram.

Abstract

We consider holographic superconductors in a broad class of massive gravity backgrounds. These theories provide a holographic description of a superconductor with broken translational symmetry. Such models exhibit a rich phase structure: depending on the values of the temperature and the disorder strength the boundary system can be in superconducting, normal metallic or normal pseudoinsulating phases. Furthermore the system supports interesting collective excitation of the charge carriers, which appears in the normal phase, persists in the superconducting phase, but eventually gets destroyed by the superconducting condensate. We also show the possibility of building a phase diagram of a system with the superconducting phase occupying a dome-shaped region on the temperature-disorder plane.