Holographic superconductor on a novel insulator

TL;DR

This paper develops a holographic superconductor model demonstrating novel metal-insulator transitions and explores how a hard gap in the insulator phase can promote superconductivity, offering insights into high Tc mechanisms.

Contribution

It introduces a new holographic superconductor model on a novel insulator with a hard gap, revealing how the gap enhances superconductivity.

Findings

Hard gap in insulator phase promotes superconductivity.

Superconductivity occurs over a Mott-like insulating phase.

Model provides insights into high Tc superconductivity mechanisms.

Abstract

We construct a holographic superconductor model, based on a gravity theory, which exhibits novel metal-insulator transitions. We investigate the condition for the condensation of the scalar field over the parameter space, and then focus on the superconductivity over the insulating phase with a hard gap, which is supposed to be Mott-like. It turns out that the formation of the hard gap in the insulating phase benefits the superconductivity. This phenomenon is analogous to the fact that the pseudogap phase can promote the pre-pairing of electrons in high $T_c$ cuprates. We expect that this work can shed light on understanding the mechanism of high Tc superconductivity from the holographic side.