Majorana zero modes in superconductor-magnet heterostructures with d-wave order

• URL: http://arxiv.org/abs/2602.09156v1
• Date: Mon, 09 Feb 2026 20:00:04 GMT
• Title: Majorana zero modes in superconductor-magnet heterostructures with d-wave order
• Authors: Bastien Fajardo, T. Pereg-Barnea, Arun Paramekanti, Kartiek Agarwal,
• Abstract summary: We find that strongly enhanced d-wave pairing or stronger skyrmion-induced spin twisting can in fact destroy topology unlike in s-wave superconductors.<n>This effect can be understood from the non-trivial spatial structure of the d-wave pairing.<n>Our results inform the feasibility of realizing MZMs with unconventional superconductors in such heterostructures.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Magnetic skyrmions in proximity to superconductors offer a route to engineering topological superconductivity due to the synthetic spin-orbit coupling engendered by the spin twist of the skyrmion texture. Previous theoretical works show that this leads to Majorana zero modes (MZMs) in skyrmion-vortex pairs for s-wave superconductors. Here we investigate this mechanism in fully gapped d+is and d+id superconductors. We find the surprising result that while stable MZMs are found in large parts of the phase diagram, strongly enhanced d-wave pairing or stronger skyrmion-induced spin twisting can in fact destroy topology unlike in s-wave superconductors. This effect can be understood from the non-trivial spatial structure of the d-wave pairing, and mixing of odd and even angular-momentum pairing channels in a rotated frame which untwists the skyrmion texture. Our results inform the feasibility of realizing MZMs with unconventional superconductors in such heterostructures.

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