Majorana states in 1 D-topological superconductor with on-site Coulomb interactions

We consider theoretically a wire, modeled by tight binding Hamiltonian, with strong spin-orbit interaction and induced superconducting pairing. Additionally, on-site Coulomb interactions, treated in Hubbard & xfffd;& xfffd;& xfffd;& xfffd;& xfffd;& xfffd; approximation, generate Hubbard levels, which enter superconducting gap. We demonstrate that quantu m interference between local in-gap Hubbard levels of a particular site, and in-gap Hubbard sub-bands, originated from the remaining sites of the wire, leads to the creation of charge-conjugated Fano resonances. Importantly, when the wire is in topological phase, the Majorana zero modes (MZM) are affected by this quantu m interference. By introducing an auxilia r y Toy Model we show that the MZM resonance is strongly diminished when two-particle tunneling dominates between interfering sub-gap states, whereas it is not altered when single-particle tunneling dominates.