Annihilation of colliding Bogoliubov quasiparticles reveals their Majorana nature
arXiv:1312.2001 · doi:10.1103/PhysRevLett.112.070604
Abstract
The single-particle excitations of a superconductor are coherent superpositions of electrons and holes near the Fermi level, called Bogoliubov quasiparticles. They are Majorana fermions, meaning that pairs of quasiparticles can annihilate. We calculate the annihilation probability at a beam splitter for chiral quantum Hall edge states, obtaining a 1 +/- cos phi dependence on the phase difference phi of the superconductors from which the excitations originated (with the +/- sign distinguishing singlet and triplet pairing). This provides for a nonlocal measurement of the superconducting phase in the absence of any supercurrent.
6 pages, 3 figures; to appear in PRL, minus the two appendices
References in corpus (11)
- Electrically detected interferometry of Majorana fermions in a topological insulator
- Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
- Quantum Hall effect in graphene with superconducting electrodes
- Majorana Fermions: The race continues
- Spin-triplet supercurrent carried by quantum Hall edge states through a Josephson junction
- Electron and hole Hong-Ou-Mandel interferometry
- Andreev reflection at high magnetic fields: Evidence for electron and hole transport in edge states
- Zero-bias conductance peak and Josephson effect in graphene-NbTiN junctions
- Scattering theory of chiral Majorana fermion interferometry
- Andreev reflection and strongly enhanced magnetoresistance oscillations in GaInAs/InP heterostructures with superconducting contacts
- Phase-locked magnetoconductance oscillations as a probe of Majorana edge states
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