# Shot noise distinguishes Majorana fermions from vortices injected in the edge mode of a chiral p-wave superconductor

@article{Beenakker2020ShotND,
title={Shot noise distinguishes Majorana fermions from vortices injected in the edge mode of a chiral p-wave superconductor},
author={C. W. J. Beenakker and D. O. Oriekhov},
journal={arXiv: Superconductivity},
year={2020}
}
• Published 29 September 2020
• Physics
• arXiv: Superconductivity
The chiral edge modes of a topological superconductor support two types of excitations: fermionic quasiparticles known as Majorana fermions and $\pi$-phase domain walls known as edge vortices. Edge vortices are injected pairwise into counter-propagating edge modes by a flux bias or voltage bias applied to a Josephson junction. An unpaired edge mode carries zero electrical current on average, but there are time-dependent current fluctuations. We calculate the shot noise power produced by a…
3 Citations

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## References

SHOWING 1-10 OF 27 REFERENCES

• Physics
SciPost Physics
• 2019
Majorana zero-modes bound to vortices in a topological superconductor have a non-Abelian exchange statistics expressed by a non-deterministic fusion rule: When two vortices merge they may or they may
• Physics
• 2015
The Majorana fermions propagating along the edge of a topological superconductor with $p_x+ip_y$ pairing deliver a shot noise power of $\frac{1}{2}\times e^2/h$ per eV of voltage bias. We calculate
• Physics
Physical review letters
• 2019
This work proposes to use the chiral motion along the boundary of the superconductor to braid a mobile vortex in the edge channel with an immobile vortex with Majorana zero mode in the bulk.
• Physics
SciPost Physics
• 2020
A 2\pi2π phase shift across a Josephson junction in a topological superconductor injects vortices into the chiral edge modes at opposite ends of the junction. When two vortices are fused they
• Physics
Physical review letters
• 2011
This work proposes to study noise correlations in a Hanbury Brown-Twiss type interferometer and finds three signatures of the Majorana nature of the channels, including an anomalously large shot noise in the output ports for a vanishing average current signal.
• Physics
Physical Review B
• 2020
A Josephson junction in a topological superconductor can inject a charge e/2 into a normal-metal contact, carried by chiral Majorana edge modes. Here we address the question whether this half-integer
• Physics
Physical review letters
• 2009
This work shows how a pair of neutral Majorana fermions can be converted reversibly into a charged Dirac fermion, and enables electrical detection of a qubit by an interferometric measurement.
• Physics
• 2016
We explore a long Josephson contact transporting Cooper pairs between one-dimensional (1D) charge-neutral chiral Majorana modes in the leads via charged Dirac chiral modes in the normal region. We
• Physics
Physical review letters
• 2009
A point contact formed by a superconducting junction is introduced and it is shown that its transmission can be controlled by the phase difference across the junction.
• Physics
Physical review letters
• 2011
It is shown that the phase transition itself is signaled by a quantized thermal conductance and electrical shot noise power, irrespective of the degree of disorder, in a ring geometry.