Noise-Tolerance of Majorana Teleportation in Mesoscopic Topological Superconductors
Journal of the Physical Society of Japan(2024)
Abstract
We investigate teleportation interference associated with the non-local
character of Majorana zero modes (MZMs) as a probe of MZMs focusing on the
tolerance of teleportation against disturbances, such as inhomogeneous
potentials at junctions and disorder. We develop a method for calculating
non-local conductance in mesoscopic topological superconductors with fixed
parity. In the trivial phase, the non-local conductance exhibits the
h/2e-periodicity, while in the topological phase with fixed parity, it
exhibits the h/e-periodicity, indicative of Majorana teleportation. We find
that the h/e-periodicity is stable against changes in inhomogeneous potential
structures and disorder. These results imply that MZMs can cause teleportation
interference even in the presence of disturbances, leading to a clear
distinction between the trivial and topological phases.
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