# A holographic superconductor forced through interactions

## TL;DR

This paper introduces a new holographic superconductor model where superconductivity is induced at zero chemical potential by interactions between charged and uncharged scalar fields, expanding understanding of phase transitions in strongly coupled systems.

## Contribution

It presents a novel mechanism for zero chemical potential superconductivity via scalar interactions in a holographic setup, with a detailed phase diagram and conductivity analysis.

## Key findings

- Superconductivity can be triggered at zero chemical potential by boundary sources.
- The phase diagram depends on the interaction strength between scalars.
- Conductivity exhibits typical superconductor characteristics.

## Abstract

We propose a novel mechanism to achieve superconductivity at zero chemical potential, within the holographic framework. Extending previous construction of the holographic superconductors, we consider an Einstein-Maxwell system coupled with two interacting scalars in Anti-de Sitter space. One of the scalar fields is charged and therefore, interacts non-trivially with the gauge field, while the other is uncharged. We find that, if we turn on a boundary source for the uncharged scalar field, it forces the condensation of the charged scalar, leading to a superconducting phase in the dual boundary theory. The condensation occurs at a certain critical value of the source, depending on the value of the chemical potential, which can even be zero. We work out the complete phase diagram of this scenario. We further corroborate the existence of superconductivity at zero chemical potential, through a fluctuation analysis on our solution. Notably, the conductivity of the system, as a function of probing frequency, exhibits characteristics of usual holographic superconductors. We also investigate how these properties of the system changes, as we vary the interaction strength between the scalar fields. Our results indicate a controlled mechanism to manipulate the phase transition temperature of superconductors with strongly coupled microscopics.