Competition between s-wave order and d-wave order in holographic superconductors

TL;DR

This paper investigates the competition and coexistence of s-wave and d-wave orders in holographic superconductor models, revealing that coexistence phases are thermodynamically favored but narrow, with one order suppressing the other.

Contribution

It introduces two holographic superconductor models to analyze the competition between s-wave and d-wave orders, highlighting the conditions for coexistence and their thermodynamic properties.

Findings

Coexistence phase is thermodynamically favored when it appears.

The coexistence phase is narrow and one order suppresses the other.

Phase diagrams are constructed showing temperature and charge ratio effects.

Abstract

We study competition between s-wave order and d-wave order through two holographic superconductor models. We find that once the coexisting phase appears, it is always thermodynamically favored, and that the coexistence phase is narrow and one condensate tends to kill the other. The phase diagram is constructed for each model in terms of temperature and the ratio of charges of two orders. We further compare the behaviors of some thermodynamic quantities, and discuss the different aspects and identical ones between two models.