Geometry -- dependent effects in Majorana nanowires

Abstract

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.

7 pages, 3 figures, 32 references

References in corpus (30)

• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
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Cited by in corpus (7)

• Geometry controlled superconducting diode and anomalous Josephson effect triggered by the topological phase transition in curved proximitized nanowires
• Josephson Diode Effect in Topological Superconductor
• Curvature control of the superconducting proximity effect in diffusive ferromagnetic nanowires
• Optimizing one dimensional superconducting diodes: Interplay of Rashba spin-orbit coupling and magnetic fields
• Interface probe for antiferromagnets using geometric curvature
• Non-constant geometric curvature for tailored spin-orbit coupling and chirality in superconductor-magnet heterostructures
• Bending-strain effects in conventional superconductors and superconducting junctions