Stability of Kramers Majorana doublets: the effects of interactions and disorders

Understand

In this work we study the effects of interactions and disorder on $1D$ DIII topological superconductors and the Majorana Kramers doublets (MKDs).

• In contract to the case without the time-reversal symmetry, the Umklapp interaction plays important roles in this system.
• The underlying phases due to the Umklapp interaction and disorder are found by using a perturbative renormaliztion analysis based on the Abelian Bosonization.
• Importantly, the stable topological regime can be found within a rather wide parameter space.