Topological Superconductivity Induced by Magnetic Texture Crystals

TL;DR

This paper explores how magnetic texture crystals can induce various topological superconducting phases and Majorana fermions, revealing a rich landscape of edge modes and topological states driven by magnetic and pairing symmetries.

Contribution

It provides a comprehensive theoretical analysis of topological phases and Majorana modes arising from magnetic textures in superconductors, independent of specific model parameters.

Findings

Multiple topological phases with diverse Majorana edge modes identified

Topological states depend on magnetic and pairing symmetry compatibility

Results applicable to layered materials and hybrid devices

Abstract

We present a detailed investigation of the topological phases and Majorana fermion (MF) excitations that arise from the bulk interplay between (un)conventional one/two-band spin-singlet superconductivity and a number of magnetic texture crystals. The latter define inhomogeneous magnetization profiles which consist of a periodically-repeating primitive cell. Here we focus on magnetic texture crystals with a primitive cell of the helix, whirl, and skyrmion types, which feature distinct symmetry properties. We identify a multitude of accessible topological phases which harbor flat, uni- or bi-directional, (quasi-)helical, or chiral MF edge modes. This rich variety originates from the interplay between topological phases with gapped and nodal bulk energy spectra. The types of the emerging topological superconducting phases and the features of the arising MFs are solely determined by the properties and compatibility of the so-called magnetic and pairing point/space groups. Our analysis is general and does not rely on specific parameters of the models employed here to exemplify the topological scenarios which become accessible. Therefore, our results can be extended to systems with multiple bands, are relevant for a wide range of layered materials and hybrid devices, and provide predictions for strong, weak and crystalline topological phases.