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Motivated by recent proposals to realize Majorana bound states in chains andarrays of magnetic atoms deposited on top of a superconductor, we study thetopological properties of various chain structures, ladders and two-dimensionalarrangements exhibiting magnetic helices. We show that magnetic domain wallswhere the chirality of a magnetic helix is inverted support two protectedMajorana states giving rise to a tunneling conductance peak twice the height ofa single Majorana state. The topological properties of coupled chains exhibitnontrivial behaviour as a function of the number of chains beyond the even-odddichotomy expected from the simple $\mathbb{Z}_2$ nature of coupled Majoranastates. In addition, it is possible that a ladder of two or more coupled chainsexhibit Majorana edge states even when decoupled chains are trivial. Weformulate a general criterion for the number of Majorana edge states inmultichain ladders and discuss some experimental consequences of our findings.

Majorana states in helical Shiba chains and ladders