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One of the defining features of spontaneously broken time-reversal symmetry(BTRS) is the existence of domain walls, the detection of which would be strongevidence for such systems. There is keen interest in BTRS currently, in part,due to recent muon spin rotation experiments, which have pointed towards$\textrm{Ba}_{1-x}\textrm{K}_x\textrm{Fe}_2\textrm{As}_2$ exhibiting aremarkable case of $s$-wave superconductivity with spontaneously brokentime-reversal symmetry. A key question, however, is how to differentiatebetween the different theoretical models which describe such a state. Twoparticularly popular choices of model are $s+is$ and $s+id$ superconductingstates. In this paper, we obtain solutions for domain walls in $s+is$ and$s+id$ systems, including the effects of lattice anisotropies. We show that, ingeneral, both models exhibit spontaneous magnetic field, that extend along theentire length of the domain wall. We demonstrate the qualitative differencebetween the magnetic signatures of $s+is$ and $s+id$ domain walls and propose aprocedure to extract the superconducting pairing symmetry from themagnetic-field response of domain walls.

physical review. b./physical review. b

Magnetic signatures of domain walls in $s+is$ and $s+id$  superconductors: observability and what that can tell us about the  superconducting order parameter