Domain walls and their experimental signatures in s+is superconductors

Abstract

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 reversal symmetry in $s+is$ state, dictates that it possess domain wall excitations. Here, we discuss what are the experimentally detectable signatures of domain walls in $s+is$ state. We find that in this state the domain walls can have dipole-like magnetic signature (in contrast to the uniform magnetic signature of domain walls $p+ip$ superconductors). We propose experiments where quench-induced domain walls can be stabilized by geometric barriers and be observed via their magnetic signature or their influence on the magnetization process, thereby providing an experimental tool to confirm $s+is$ state.

Replaced with a version in print in Physical Review Letters; Minor changes; 8 pages, 9 figures

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