Anomalous universal conductance as a hallmark of non-locality in a Majorana-hosted superconducting island

Abstract

The non-local feature of topological states of matter is the key for the topological protection of quantum information and enables robust non-local manipulation in quantum information. Here we propose to manifest the non-local feature of a Majorana-hosted superconducting island by measuring the temperature dependence of Coulomb blockade peak conductance in different regimes. In the low-temperature regime, we discover a coherent double Majorana-assisted teleportation (MT) process, where any independent tunneling process always involves two coherent non-local MTs; and we also find an anomalous universal scaling behavior, i.e., a crossover from a $${[\max (T,eV)]}^{6}$$ [ max ( T , e V ) ] 6 power-law to a $${[\max (T,eV)]}^{3}$$ [ max ( T , e V ) ] 3 power-law conductance behavior when energy scale increases — in stark contrast to the usual exponential suppression due to certain local transport. In the high-temperature regime, the conductance is instead proportional to the temperature inverse, indicating a non-monotonic temperature-dependence of the conductance. Both the anomalous power law and non-monotonic temperature-dependence of the conductance can be distinguished from the conductance peak in the traditional Coulomb block, and therefore, together serve as a hallmark for the non-local feature in the Majorana-hosted superconducting island.

Influence of Majorana-parity degeneracy on the boundary Berezinskii-Kosterlitz-Thouless quantum phase transition of a dissipative resonant level

“…Encouraged by persistent progress of Majorana hunting in nanodeveices [58][59][60][61][62][63][64][65][66][67], especially for the cases with dissipative environments [68][69][70][71][72], we anticipate the experimental capability to observe our predicted phenomenon. Prospectively, QPTs are also potentially capable to identify Majorana nonlocalities [73][74][75][76][77][78], another crucial elements in topological quantum device. can understand RG flows under different temperatures by visiting the corresponding features of Eq.…”