Vortices with magnetic field inversion in noncentrosymmetric superconductors

Abstract

Superconducting materials with noncentrosymmetric lattices lacking space inversion symmetry exhibit a variety of interesting parity-breaking phenomena, including the magneto-electric effect, spin-polarized currents, helical states, and the unusual Josephson effect. We demonstrate, within a Ginzburg-Landau framework describing noncentrosymmetric superconductors with $O$ point group symmetry, that vortices can exhibit an inversion of the magnetic field at a certain distance from the vortex core. In stark contrast to conventional superconducting vortices, the magnetic-field reversal in the parity-broken superconductor leads to non-monotonic intervortex forces, and, as a consequence, to the exotic properties of the vortex matter such as the formation of vortex bound states, vortex clusters, and the appearance of metastable vortex/anti-vortex bound states.

arXiv commentAdded analytic expressions of the physical quantities in the London limit; Replaced with a version in print in Phys. Rev. B; 12 pages, 4 figures

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• Singlet-triplet mixing in the order parameter of the noncentrosymmetric superconductor Ru${}_7$B${}_3$
• Shape and dynamics of nonrelativistic vortex strings in parity-breaking media