Hierarchy of topological superconductivity generated via heterostructures of unconventional p-wave magnets
Abstract
A theoretical framework is proposed to engineer both first and second-order topological superconducting phases in a two-dimensional (2D) heterostructure, consisting of a quantum spin Hall insulator (QSHI) and an unconventional p-wave magnet in presence of proximity-induced s-wave superconducting pairing. Our analysis establishes that the transitions between the trivial and topological superconducting (TSC) phases can be regulated though the parameters of p-wave magnet. Presence of chiral symmetry leads to the characterization of both types of TSC phases by the respective invariants, one-dimensional winding number and quadrupolar winding number. These results are supplemented by an analytical effective low-energy edge theory that yields a deeper insight into the emergence of the different topological phases of the system. Bulk pairing analysis reveals the competition between the effective (px+py) and (px+ipy) type pairings that are governed by the intrinsic spin-orbit coupling inherited to the QSHI and spin-split bands of the p-wave magnet, respectively.
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BibTeX
@misc{das2026hierarchy,
title = {{Hierarchy of topological superconductivity generated via heterostructures of unconventional $p$-wave magnets}},
author = {Koushik R. Das and Arijit Saha},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.03907},
eprint = {2609.03907},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.03907},
}
RIS
TY - UNPB
TI - Hierarchy of topological superconductivity generated via heterostructures of unconventional p-wave magnets
AU - Koushik R. Das
AU - Arijit Saha
PY - 2026
DA - 2026/09/03
PB - arXiv
DO - 10.48550/arxiv.2609.03907
UR - https://arxiv.org/abs/2609.03907
AB - A theoretical framework is proposed to engineer both first and second-order topological superconducting phases in a two-dimensional (2D) heterostructure, consisting of a quantum spin Hall insulator (QSHI) and an unconventional p-wave magnet in presence of proximity-induced s-wave superconducting pairing. Our analysis establishes that the transitions between the trivial and topological superconducting (TSC) phases can be regulated though the parameters of p-wave magnet. Presence of chiral symmetry leads to the characterization of both types of TSC phases by the respective invariants, one-dimensional winding number and quadrupolar winding number. These results are supplemented by an analytical effective low-energy edge theory that yields a deeper insight into the emergence of the different topological phases of the system. Bulk pairing analysis reveals the competition between the effective (p_x+p_y) and (p_x+ip_y) type pairings that are governed by the intrinsic spin-orbit coupling inherited to the QSHI and spin-split bands of the p-wave magnet, respectively.
ER -