Competition/Enhancement of Two Probe Order Parameters in the Unbalanced Holographic Superconductor

Understand

We introduce and study a simple unbalanced holographic superconductor model with two scalar order parameters.

• The attention is focused on the possibility of coexisting orderings corresponding to the concomitant condensation of two scalar operators.
• Through a probe analysis we show that an attractive or repulsive direct interaction between the two bulk scalars leads respectively to competition and enhancement of the associated condensates.
• The system at hand is a toy model for studying generic multiple ordering in a strongly coupled context and some comments are given about its applicability to the ferromagnetic unconventional superconductors.