Time-Reversal Invariant Parafermions in Interacting Rashba Nanowires
Mesoscale and Nanoscale Physics
2014-07-21 v2
Abstract
We propose a scheme to generate pairs of time-reversal invariant parafermions. Our setup consists of two quantum wires with opposite Rashba spin orbit interactions coupled to an -wave superconductor, in the presence of electron-electron interactions. The zero-energy bound states localized at the wire ends arise from the interplay between two types of proximity induced superconductivity: the usual intrawire superconductivity and the interwire superconductivity due to crossed Andreev reflections. If the latter dominates, which is the case for strong electron-electron interactions, the system supports Kramers pair of parafermions. Moreover, the scheme can be extended to a two-dimensional sea of time-reversal invariant parafermions.
Keywords
Cite
@article{arxiv.1312.1998,
title = {Time-Reversal Invariant Parafermions in Interacting Rashba Nanowires},
author = {Jelena Klinovaja and Daniel Loss},
journal= {arXiv preprint arXiv:1312.1998},
year = {2014}
}