Higher derivatives driven symmetry breaking in holographic superconductors

TL;DR

This paper introduces a new holographic superconductor model using higher derivative gravity coupled with a scalar field and Weyl tensor, revealing how tuning this coupling induces superconductivity and affects the energy gap.

Contribution

It develops a novel holographic superconductor model with higher derivative coupling, demonstrating how it drives symmetry breaking and influences superconducting properties.

Findings

Superconducting phase transition triggered by higher derivative coupling.

Energy gap extends from 4.6 to 10.5, modeling high-temperature superconductor phenomena.

Black brane instability linked to effective mass squared violation.

Abstract

In this paper, we construct a novel holographic superconductor from higher derivative (HD) gravity involving a coupling between the complex scalar field and the Weyl tensor. This HD coupling term provides a near horizon effective mass squared, which can violates IR Breitenlohner-Freedman (BF) bound by tuning the HD coupling and induces the instability of black brane such that the superconducting phase transition happens. We also study the properties of the condensation and the conductivity in the probe limit. We find that a wider extension of the superconducting energy gap ranging from 4.6 to 10.5 may provide a novel platform to model and interpret the phenomena in the real materials of high temperature superconductor.