Abstract

The properties of the single Majorana particle are already extensively studied. Recent works
show that the systems with the larger number of the Majoranas states demonstrate topological
Kondo effect. We investigate a system of N>2 Majorana states coupled to the fermionic bath by
means of interaction as well as tunnelling terms, revealing a nontrivial renormalization physics.
The tunnelling processes, being classified in terms of spin-1/2 and spin-3/2 irreducible
representations of the SU(2) group, show two very different renormalisation behaviours. This
leads to the strong dependence of the charge and spin transport through the interface on the
sign of the interaction coupling.