Unbalanced St\"{u}ckelberg Holographic Superconductors with Backreaction

TL;DR

This paper numerically explores how backreaction, chemical potential mismatch, and St"uckelberg parameters influence phase transitions and conductivities in unbalanced holographic superconductors, revealing parameter-dependent effects on fluctuations and pseudo-gaps.

Contribution

It provides a detailed numerical analysis of backreaction effects and St"uckelberg parameters on phase transitions and conductivities in unbalanced holographic superconductors, highlighting their significant impacts.

Findings

St"uckelberg parameters significantly affect phase transition and conductivity properties.

Increasing imbalance reduces the influence of model parameters on system behavior.

Parameter variations can damp or enhance conductivity fluctuations depending on conditions.

Abstract

We numerically investigate some properties of unbalanced St\"{u}ckelberg holographic superconductors, by considering backreaction effects of fields on the background geometry. More precisely, we study the impacts of the chemical potential mismatch and St\"{u}ckelberg mechanism on the condensation and conductivity types (electrical, spin, mixed, thermo-electric, thermo-spin and thermal conductivity). Our results show that the St\"{u}ckelberg's model parameters $C_{\alpha}$ and $\alpha$ not only have significant impacts on the phase transition, but also affect the conductivity pseudo-gap and the strength of conductivity fluctuations. Moreover, the effects of these parameters on a system will be gradually reduced as the imbalance grows. We also find that the influence of $\alpha$ on the amplitude of conductivity fluctuations depends on the magnitude of the both $C_{\alpha}$ and $\delta\mu/\mu$ in the electric and thermal conductivity cases. This results in that increasing $\alpha$ can damp the conductivity fluctuations of an unbalanced system in contrast to balanced ones.