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

TL;DR

This paper investigates the temperature-dependent conductance in a Majorana-based superconducting island, revealing a coherent double Fu-teleportation process and unique scaling behaviors that distinguish topological transport from traditional Coulomb blockade.

Contribution

It introduces the concept of coherent double Fu-teleportation in Majorana islands and identifies universal scaling laws and non-monotonic temperature dependence as signatures of topological non-local transport.

Findings

Discovery of coherent double Fu-teleportation process.

Identification of a transition from [max(T,eV)]^6 to [max(T,eV)]^3 conductance behavior.

Observation of non-monotonic temperature dependence of conductance.

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 transition 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 non-monotonic temperature-dependence. Both the anomalous power-law behavior and non-monotonic temperature-dependence 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.