We study the impact of the nonanalytic reconstruction of vortex cores on static vortex structures in weakly coupled superfluids. We show 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.
Bibliographical noteFunding Information:
We are grateful to N. Katz, A. Kuklov, and E. Zeldov for their discussions of the results. This research was supported by United States-Israel Binational Science Foundation (BSF) Grant No. 2012-134 and Israel Science Foundation (ISF) Grant No.302/14 (O.A.), and by the Simons foundation (I.L.A.).
© 2017 American Physical Society.