Exotic Vortex Lattices in Binary Repulsive Superfluids

TL;DR

This paper explores complex vortex lattice structures in binary superfluids with different particle masses, revealing various geometric configurations including Platonic and Archimedean tilings through solutions of the Gross-Pitaevskii equation.

Contribution

It predicts and classifies a variety of exotic vortex lattice geometries in binary superfluids with different masses, expanding understanding of superfluid vortex arrangements.

Findings

Rich vortex lattice configurations including Platonic and Archimedean tilings.

Full phase diagram for mass ratio m2/m1=2.

Identification of geometries at higher mass ratios.

Abstract

We investigate a mixture of two repulsively interacting superfluids with different constituent particle masses: $m_1\ne m_2$. Solutions to the Gross-Pitaevskii equation for homogeneous infinite vortex lattices predict the existence of rich vortex lattice configurations, a number of which correspond to Platonic and Archimedean planar tilings. Some notable geometries include the snub-square, honeycomb, kagome, and herringbone lattice configurations. We present a full phase diagram for the case $m_2/m_1 = 2$ and list a number of geometries that are found for higher integer mass ratios.