Vortices in cubic noncentrosymmetric superconductors

Vortices with magnetic field inversion in noncentrosymmetric superconductors

“…Similarly, the longitudinal current j z vanishes for the first time at the shorter distance to the vortex core, ρ 2λ L , where the circular magnetic field cancels, B θ = 0. These observations are consistent with the results from the perturbative regime γ γ [18]. Interestingly, these specific radii are pretty much unaffected by the value of the parity-breaking coupling.…”

“…The general case with a nonzero paritybreaking coupling, Γ = 0, requires a numerical evaluation of the integrals (17) and (18). Figure 2 shows the magnetic field of a single vortex both in the London limit and for the full Ginzburg-Landau problem.…”

“…Vortex states in cubic non-centrosymmetric supercon-arXiv:2003.10917v1 [cond-mat.supr-con] 24 Mar 2020 ductors feature a transverse magnetic field, in addition to the ordinary longitudinal field. Consequently, they also carry a longitudinal current on top of the usual transverse screening currents [16][17][18]. Therefore, as illustrated in Fig.…”

“…1, both the superconducting current and the magnetic field form a helical-like structure that winds around the vortex core (for additional material illustrating the helical spatial structure of the magnetic streamlines, see Appendix B, and animations [19] ). The previous theoretical papers studied vortices in the perturbative regime where the coupling to the Lifshitz invariant γ is small, either in the London limit (with a large Ginzburg-Landau parameter) [16,17], or beyond it [18]. For currently known non-centrosymmetric materials, these approximations are valid since the magnitude of the Lifshitz invariants, which can be estimated in a weak-coupling approximation, is typically small.…”

Vortices with magnetic field inversion in noncentrosymmetric superconductors

“…Vortex states in cubic non-centrosymmetric supercon-ductors feature a transverse magnetic field, in addition to the ordinary longitudinal field. Consequently, they also carry a longitudinal current on top of the usual transverse screening currents [16][17][18]. Therefore, as illustrated in Fig.…”