Z2q parafermionic hinge states in a three-dimensional array of coupled nanowires

Sarthak Girdhar; Viktoriia Pinchenkova; Even Thingstad; Jelena Klinovaja

doi:10.1103/4jdx-k37q

Z_2q parafermionic hinge states in a three-dimensional array of coupled nanowires

Sarthak Girdhar^*
, Viktoriia Pinchenkova
, Even Thingstad
, Jelena Klinovaja

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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 helical Z_2q parafermionic modes (with q 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 q=1, the system hosts gapless Majorana hinge modes.

Original language	English
Article number	033257
Journal	Physical Review Research
Volume	8
Issue number	3
DOIs	https://doi.org/10.1103/4jdx-k37q
State	Published - 1 Jul 2026
Externally published	Yes

Bibliographical note

Publisher Copyright:
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. https://creativecommons.org/licenses/by/4.0/

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1103/4jdx-k37q

Cite this

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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 helical Z2q parafermionic modes (with q 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 q=1, the system hosts gapless Majorana hinge modes.",

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AU - Thingstad, Even

AU - Klinovaja, Jelena

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