Instability of the Abrikosov Lattice due to Nonanalytic Core Reconstruction of Vortices in Bosonic Superfluids

The impact of nonanalytic reconstruction of vortex cores on the static
configuration of vortices in
 weakly coupled superfluids is considered. It is shown  that, in
rotating two-dimensional systems, the Abrikosov vortex
 lattice is unstable to vortex core deformation: Each zero of the wave
function becomes a cut of finite length.
The directors characterizing the orientations of the cuts are
themselves ordered in superstructures due either
 to surface effects or to interaction with shear deformations of the
lattice (spiral structure). Similar instability
may also be observable in clean superconducting films.