Topologically protected charge transfer along the edge of a chiral $\text{p}$-wave superconductor

Abstract

The Majorana fermions propagating along the edge of a topological superconductor with $p_x+i{p}_y$ pairing deliver a shot noise power of $\frac{1}{2}\times e^2/h$ per eV of voltage bias. We calculate the full counting statistics of the transferred charge and find that it becomes trinomial in the low-temperature limit, distinct from the binomial statistics of charge-$e$ transfer in a single-mode nanowire or charge-$2e$ transfer through a normal-superconductor interface. All even-order correlators of current fluctuations have a universal quantized value, insensitive to disorder and decoherence. These electrical signatures are experimentally accessible, because they persist for temperatures and voltages large compared to the Thouless energy.

5 pages, 4 figures. v3 [post-publication]: added an appendix on the effect of a tunnel barrier at the normal-superconductor contact

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• Current fluctuations in unconventional superconductor junctions with impurity scattering
• Waiting times of entangled electrons in normal-superconducting junctions
• Dynamical Scheme for Interferometric Measurements of Full-Counting Statistics
• Two-terminal transport along a proximity induced superconducting quantum Hall edge
• Wiedemann-Franz-type relation between shot noise and thermal conduction of Majorana surface states in a three-dimensional topological superconductor
• Shot noise distinguishes Majorana fermions from vortices injected in the edge mode of a chiral p-wave superconductor
• Non-equilibrium current cumulants and moments with a point-like defect
• Full counting statistics of Majorana interferometers
• Controllable enhancement of $p$-wave superconductivity via magnetic coupling to a conventional superconductor
• Multi-locational Majorana Zero Modes
• Poor-man's Majorana edge mode enabled by specular Andreev reflection
• Shot noise from which-path detection in a chiral Majorana interferometer
• Quantum theory for edge current and noise in two-dimensional topological superconductors