Nucleation of domain walls by $Z_2$ symmetry breaking transition in $p_x+i{p}_y$ superconductors

Abstract

We show that time reversal symmetry breaking $p_x+i{p}_y$ wave superconductors undergo several phase transitions subjected to external magnetic field or supercurrent. In such system the discrete $Z_2$ symmetry can recover before the complete destruction of the order parameter. The topological defects associated with $Z_2$ symmetry - domain walls can be created in a controllable way by magnetic field or current sweep according to the Kibble-Zurek scenario. Such domain wall generation can take place in exotic superconductors like $S{r}_{2}Ru{O}_4$ and some heavy fermion compounds.

5 pages, 2 figures

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• Hidden quasi one-dimensional superconductivity in Sr${}_2$RuO${}_4$
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• Laser pulse probe of chirality of Cooper pairs
• Nematicity Arising from a Chiral Superconducting Ground State in Magic-Angle Twisted Bilayer Graphene under In-Plane Magnetic Fields