Fluctuation-induced first-order transition in $p $-wave superconductors

TL;DR

This paper investigates how fluctuations induce a first-order phase transition in p-wave superconductors, using theoretical expansions to show that the transition is first order for the physical case in three dimensions.

Contribution

It demonstrates through epsilon and large-n expansions that p-wave superconductors undergo a fluctuation-induced first-order transition, similar to s-wave superconductors.

Findings

Transition is first order for n=6 in 3D

Both epsilon-expansion and large-n expansion support the result

Transition type parallels that of s-wave superconductors

Abstract

The problem of a fluctuation-induced first-order transition is considered for $p $-wave superconductors. Both an $\epsilon$-expansion about $d=4$ and a large-$n$ expansion conclude that the transition for the physical case $n=6$ in $d=3$ is of first order, as in the s-wave case.