Chaos in balanced and unbalanced holographic s+p superconductors

TL;DR

This paper models mixed s+p superconductors using gauge/gravity duality, revealing phase transitions and chaotic dynamics in condensate fields for both balanced and unbalanced cases.

Contribution

It introduces a toy holographic model for s+p superconductor mixtures and demonstrates chaotic behavior in the condensate phase space.

Findings

Phase transitions occur with varying chemical potentials.

Chaotic dynamics are observed in condensate fields.

Phase portraits confirm chaos in the system.

Abstract

In this work, we propose a toy model for a mixture of superconductors with competitive s and p modes using gauge/gravity duality. We demonstrate that the model undergoes phase transitions with the proper choice of different values for chemical potentials. We consider both balanced and unbalanced cases. We propose that the condensate field in the bulk toy model for a mixing s+p phase of high temperature superconductors undergoes a chaotic phase space scenario. Using a suitable measure function for chaos, we demonstrate the existence of chaotic dynamics via condensate fields. As an alternative method, we also investigate the phase portrait in the extended phase space for the condensates.