H-T phase diagrams of a holographic p-wave superfluid

TL;DR

This paper explores the phase competition between p-wave and p+ip superfluids in a holographic model under magnetic fields, revealing how magnetic field and back reaction influence phase transitions and phase diagram structures.

Contribution

It introduces a holographic model analyzing the effects of magnetic field and back reaction on p-wave and p+ip superfluid phases, constructing detailed phase diagrams with slit regions.

Findings

Magnetic field shifts the grand potential and critical temperature of p+ip solutions.

The p-wave solution is minimally affected by magnetic field.

Phase diagrams feature a slit region of p+ip phase influenced by magnetic field and back reaction.

Abstract

We study the competition between the p-wave and the p+ip superfluid solutions in a holographic model with applied magnetic field intensity $H$. We find that when $H$ is turned on, both the grand potential and the critical temperature of the p+ip solution are shifted, while the p-wave solution is only slightly affected. Combining the effect of $H$ and back reaction parameter b, we build $H-T$ phase diagrams with a slit region of p+ip phase. The zero (or finite) value of $H$ at the starting point of the slit region is related to second (or first) order of the p-wave phase transition at zero magnetic intensity, which should be universal in systems with degenerate critical points (spinodal points) at zero magnetic field.