$\mathbb Z_{2q}$ parafermionic hinge states in a three-dimensional array of coupled nanowires
Mesoscale and Nanoscale Physics
2026-04-09 v1
Abstract
We construct a model of a three-dimensional helical second-order topological superconductor formed by an array of weakly coupled Rashba nanowires. We identify the parameter regime in which there are energy gaps in both the bulk and surface energy spectra, while a pair of gapless helical parafermionic modes (with being an odd integer) remains gapless along a closed path of one-dimensional hinges. The precise trajectory of these hinge modes is dictated by the hierarchy of interwire couplings and the boundary termination of the sample. In the noninteracting limit , the system hosts gapless Majorana hinge modes.
Cite
@article{arxiv.2604.07313,
title = {$\mathbb Z_{2q}$ parafermionic hinge states in a three-dimensional array of coupled nanowires},
author = {Sarthak Girdhar and Viktoriia Pinchenkova and Even Thingstad and Jelena Klinovaja},
journal= {arXiv preprint arXiv:2604.07313},
year = {2026}
}
Comments
16 pages, 8 figures