Spiral magnetic field and bound states of vortices in noncentrosymmetric superconductors

Abstract

We discuss the unconventional magnetic response and vortex states arising in noncentrosymmetric superconductors with chiral octahedral and tetrahedral ($O$ or $T$) symmetry. We microscopically derive Ginzburg-Landau free energy. It is shown that due to spin-orbit and Zeeman coupling magnetic response of the system can change very significantly with temperature. For sufficiently strong coupling this leads to a crossover from type-1 superconductivity at elevated temperature to vortex states at lower temperature. The external magnetic field decay in such superconductors does not have the simple exponential law. We show that in the London limit, magnetic field can be solved in terms of complex force-free fields $\vec{W}$, which are defined by $\nabla \times \vec{W}=\text{const}\vec{W}$. Using that we demonstrate that the magnetic field of a vortex decays in spirals. Because of such behavior of the magnetic field, the intervortex and vortex-boundary interaction becomes non-monotonic with multiple minima. This implies that vortices form bound states with other vortices, antivortices, and boundaries.

published version

References in corpus (9)

• Evidence for time-reversal symmetry breaking in the non-centrosymmetric superconductor LaNiC${}_2$
• Gap structure in noncentrosymmetric superconductors
• Simultaneous Nodal Superconductivity and Time-Reversal Symmetry Breaking in the Noncentrosymmetric Superconductor CaPtAs
• Nonuniform states in noncentrosymmetric superconductors
• Type-1.5 superconductivity in multicomponent systems
• Signature of superconducting states in cubic crystal without inversion symmetry
• Unconventional superconducting properties of noncentrosymmetric Re5.5Ta
• Vortices with magnetic field inversion in noncentrosymmetric superconductors
• Helical states and solitons in noncentrosymmetric superconductors

Cited by in corpus (7)

• Microscopic derivation of superconductor-insulator boundary conditions for Ginzburg-Landau theory revisited. Enhanced superconductivity at boundaries with and without magnetic field
• Vortices with magnetic field inversion in noncentrosymmetric superconductors
• Emergent Chern-Simons Interactions in 3+1 Dimensions
• Chiral Meissner effect in time-reversal invariant Weyl superconductors
• Spectroscopic evidence of multi-gap superconductivity in non-centrosymmetric AuBe
• 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