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Arguments were recently advanced that hole-doped Ba$_{1-x}$K$_x$Fe$_2$As$_2$exhibits $s+is$ state at certain doping. Spontaneous breaking of time reversalsymmetry in $s+is$ state, dictates that it possess domain wall excitations.Here, we discuss what are the experimentally detectable signatures of domainwalls in $s+is$ state. We find that in this state the domain walls can havedipole-like magnetic signature (in contrast to the uniform magnetic signatureof domain walls $p+ip$ superconductors). We propose experiments wherequench-induced domain walls can be stabilized by geometric barriers and beobserved via their magnetic signature or their influence on the magnetizationprocess, thereby providing an experimental tool to confirm $s+is$ state.

Domain walls and their experimental signatures in s+is superconductors