Geometry-dependent effects in Majorana nanowires

Starting from the Bogolubov-de Gennes theory describing the induced p-wave superconductivity in the Majorana wire of an arbitrary shape, we predict a number of intriguing phenomena such as the geometry-dependent phase battery (or a phi-Josephson junction with the spontaneous superconducting phase difference) and generation of additional quasiparticle modes at the Fermi level with the spatial position tuned by the external magnetic field direction. This tuning can be used to extend the capabilities of the braiding protocols in Majorana networks.

Figure 1

Illustration of the coordinate system used throughout the work. Insets: (a) heterostructure configuration; (b) magnetic field direction.

Figure 2

Possible experimental setup for detection of the spontaneous superconducting phase induced by the wire curvature.

Figure 3

Domain walls and bound states in the nodal case.