Split degenerate states and stable p+ip phases from holography

Abstract

In this paper, we investigate the p+$i$p superfluid phases in the complex vector field holographic p-wave model. We find that in the probe limit, the p+$i$p phase and the p-wave phase are equally stable, hence the p and $i$p orders can be mixed with an arbitrary ratio to form more general p+$\lambda i$p phases, which are also equally stable with the p-wave and p+$i$p phases. As a result, the system possesses a degenerate thermal state in the superfluid region. We further study the case with considering the back reaction on the metric, and find that the degenerate ground states will be separated into p-wave and p+$i$p phases, and the p-wave phase is more stable. Finally, due to the different critical temperature of the zeroth order phase transitions from p-wave and p+$i$p phases to the normal phase, there is a temperature region where the p+$i$p phase exists but the p-wave phase doesn't. In this region we find the stable p+$i$p phase for the first time.

16 pages, 5 figures; typos corrected

References in corpus (7)

• Building an AdS/CFT superconductor
• Linear Confinement and AdS/QCD
• Holographic model of superfluidity
• Competing Holographic Orders
• A holographic p-wave superfluid
• Spontaneous current in an holographic s+p superfluid
• Engineering Holographic Superconductor Phase Diagrams

Cited by in corpus (7)

• Dynamical stability from quasi normal modes in 2nd, 1st and 0th order holographic superfluid phase transitions
• The holographic p+ip solution failed to win the competition in dRGT massive gravity
• Anisotropic Lifshitz holography in Einstein-Proca theory with stable negative mass spectrum
• Backreacting holographic superconductors from the coupling of a scalar field to the Einstein tensor
• H-T phase diagrams of a holographic p-wave superfluid
• Phase transitions in a holographic s+d model from the 4D Einstein-Gauss-Bonnet gravity
• Chaos in balanced and unbalanced holographic s+p superconductors