Insulating phases of topological superconductors - the Majorana-Zero Modes point of view

I will discussed few aspects of topological superconductor - insulator transitions. I'll argue that the insulating phases of topological superconductors have unique properties that are dual to several spin liquid phases supporting exotic non-Abelian particles. We will discuss the stabilization of these spin liquids by interactions between Majorana-zero modes in a Cooper box and their possible utilization for universal quantum computation.