Boundary Potential Method for Describing Electron Teleportation in an Interferometer with a Topological Superconductor

One-dimensional topological superconductors accommodate a pair of Majorana zero modes at their ends. In an interferometer containing such a topological superconductor, electron transport is significantly affected by the Majorana zero modes constituting a nonlocal state localized near both ends of the superconductor. When the number of electrons $\mathcal{N}$ in the superconductor is constrained by a charging effect, the resonant tunneling through the nonlocal state is expected to result in unusual transport properties. This resonant tunneling, called electron teleportation, is not easy to describe because there is no simple method to handle the constraint on $\mathcal{N}$. Here, we propose a boundary potential method based on scattering theory for calculating the conductance of the interferometer under a given constraint on $\mathcal{N}$. This method enables us to calculate the conductance taking account of relevant charging energy and details of the system.