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We present tight-binding models of 3D topological superconductors in classDIII that support a variety of winding numbers. We show that gapless Majoranasurface states emerge at their boundary in agreement with the bulk-boundarycorrespondence. At the presence of a Zeeman field the surface states becomegapped and the boundary behaves as a 2D superconductor in class D. Importantly,the 2D and 3D winding numbers are in agreement signifying that the topologicalorder of the boundary is induced by the order of the 3D bulk. Hence, theboundary of a 3D topological superconductor in class DIII can be used for therobust realisation of localised Majorana zero modes.

Induced topological order at the boundary of 3D topological superconductors