# Stabilized Pair Density Wave via Nanoscale Confinement of Superfluid $^3$He

## TL;DR

This paper investigates superfluid $^3$He under nanoscale confinement, revealing phase diagrams that show the stabilization of the $A$-phase and a stable pair density wave state across different pressures.

## Contribution

It provides the first comprehensive phase diagrams of superfluid $^3$He under uniaxial confinement, highlighting the emergence of a stabilized pair density wave state.

## Key findings

- Stability of the $A$-phase increases with confinement.
- A stable pair density wave state is observed.
- Phase diagrams vary with pressure and confinement degree.

## Abstract

Superfluid $^3$He under nanoscale confinement has generated significant interest due to the rich spectrum of phases with complex order parameters that may be stabilized. Experiments have uncovered a variety of interesting phenomena, but a complete picture of superfluid $^3$He under confinement has remained elusive. Here, we present phase diagrams of superfluid $^3$He under varying degrees of uniaxial confinement, over a wide range of pressures, which elucidate the progressive stability of both the $A$-phase, as well as a growing region of stable pair density wave (PDW) state.