Abstract
Parafermion zero modes can arise in hybrid structures composed of ν=1/m fractional quantum Hall edges' proximity coupled by an s-wave superconductor. Here we consider a Josephson junction formed in such hybrid structures in addition to parafermion tunneling, Cooper pair tunneling, and backscattering. We find that the 4πm periodicity due to parafermion-only tunneling reduces, in the presence of backscattering, to 4π-periodic at zero temperature and 2π-periodic at finite temperature unless the fermion parity is fixed. Nevertheless, a clear signature of parafermion tunneling remains in the shape of the current-phase relation.
Original language | English (US) |
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Article number | L161106 |
Journal | Physical Review B |
Volume | 109 |
Issue number | 16 |
DOIs | |
State | Published - Apr 15 2024 |
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics