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It is pretty worth enough for me. In my view, http: Since Majorana fermions exhibit non-Abelian statistics, they are under consideration as platforms for topological quantum information processing. In essence, the Majorana state delocalizes into the normal metal and forms a resonance pinned to the Fermi energy. Resonant Andreev reflection is, in fact, the most important coupling mechanism in such a metal—Majorana contact as long as the proximity-induced gap exceeds the thermal energy, kBT, and the applied bias voltage scale, eV. All other local perturbations at the contact, e. We note in passing that regular two-dimensional Majorana networks, e.
Assuming that the superconductor is grounded, the coupling between Majorana states is modeled phenomenologically by tunnel matrix elements. The structure of the remainder of this paper is as follows. In particular, we address the possibility of parity effects in the tunneling conductance for the 'ladder', 'tree' and 'isotropic' junction topologies. Some details have been assigned to the appendix. A multi-terminal Majorana junction 2. We assume that the superconductor is grounded, and hence charging effects are irrelevant. Throughout this paper, we focus on the most interesting case where the proximity-induced pairing gap exceeds both the thermal energy, kBT, and the applied bias energies, such that quasi-particle excitations above the gap are negligible.
The aim of this paper is to quantitatively understand the tunneling current into such a multi-terminal Majorana junction. The resulting decoupling of different terminals is a characteristic feature of non-interacting Majorana networks and can be traced back to the assumption of a grounded superconductor. For a 'floating' not grounded mesoscopic superconductor, where current must be conserved and Coulomb charging effects may become important, non-local conductances are typically finite. Although G1 V can always be expressed in terms of the retarded Green's function 5explicit results for arbitrary parameters are generally lengthy and not illuminating.
In addition, all non-zero matrix entries in are assumed to be equal, i.