Fig. 2: Energy gain of a skyrmion braid in a bulk sample.
From: Magnetic skyrmion braids

a Cluster of six straight skyrmion strings (left) and a corresponding skyrmion braid (right) in a bulk sample with periodic boundary conditions in all three dimensions. b Dependence of energetically optimal twist per unit length on the applied magnetic field calculated without dipole–dipole interactions. c Component-wise energy difference between a cluster of straight skyrmion strings and a skyrmion braid at Bext = 0.392 Bc for a period along z equal to 25 LD, with 〈Δφ〉 ≈ 14 deg/LD.