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.

arXiv commentpublished version

References in corpus (21)

• Evidence for time-reversal symmetry breaking in the non-centrosymmetric superconductor LaNiC${}_2$
• Semi-Meissner state and neither type-I nor type-II superconductivity in multicomponent systems
• Theoretical aspects of Andreev spectroscopy and tunneling spectroscopy in non-centrosymmetric superconductors: a topical review
• Microscopic theory of type-1.5 superconductivity in multiband systems
• Magnetic properties of superconductors with strong spin-orbit coupling
• Type-1.5 superconductivity in multiband systems: the effects of interband couplings
• Length scales, collective modes, and type-1.5 regimes in three-band superconductors
• Gap structure in noncentrosymmetric superconductors
• Simultaneous Nodal Superconductivity and Time-Reversal Symmetry Breaking in the Noncentrosymmetric Superconductor CaPtAs
• Nonuniform states in noncentrosymmetric superconductors
• Boundary states with elevated critical temperatures in Bardeen-Cooper-Schrieffer superconductors
• Zero-energy vortex bound states in noncentrosymmetric superconductors
• Type-1.5 superconductivity in multicomponent systems
• Fermi surface, possible unconventional fermions, and unusually robust resistive critical fields in the chiral-structured superconductor AuBe
• Vortex nucleation barrier in superconductors beyond the Bean-Livingston approximation: A numerical approach for the sphaleron problem in a gauge theory
• Signature of superconducting states in cubic crystal without inversion symmetry
• Non-London electrodynamics in a multiband London model: anisotropy-induced non-localities and multiple magnetic field penetration lengths
• Unconventional superconducting properties of noncentrosymmetric Re5.5Ta
• Vortices with magnetic field inversion in noncentrosymmetric superconductors
• Synthetic nuclear Skyrme matter in imbalanced Fermi superfluids with a multicomponent order parameter
• Helical states and solitons in noncentrosymmetric superconductors

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• Vortices with magnetic field inversion in noncentrosymmetric superconductors
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• 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