Double Fu-teleportation and anomalous Coulomb blockade in a Majorana-hosted superconducting island

Abstract

We study the temperature dependence of Coulomb Blockade peak conductance based on a Majorana-hosted superconducting island. In the low-temperature regime, we discover a coherent double Fu-teleportation (FT) process, where any independent tunneling process always involves two coherent FTs; and we also find an anomalous universal scaling behavior, which shows a crossover from a [max(T, eV )] 6 to a [max(T, eV )] 3 conductance behavior as increasing energy scale. In the high-temperature regime, using the familiar rate equation method, we find that the conductance is proportional to the reciprocal of the temperature and shows a nonmonotonic temperature-dependence. Both the anomalous power-law behavior and non-monotonic temperaturedependence can be distinguished from the conductance peak in the traditional Coulomb block, and therefore, serve as a hallmark for the non-local transport in the topological superconducting island.