Effects of tilting the magnetic field in 1D Majorana nanowires

Abstract

We investigate the effects that a tilting of the magnetic field from the parallel direction has on the states of a 1D Majorana nanowire. Particularly, we focus on the conditions for the existence of Majorana zero modes, uncovering an analytical relation (the sine rule) between the field orientation relative to the wire, its magnitude and the superconducting parameter of the material. The study is then extended to junctions of nanowires, treated as magnetically inhomogeneous straight nanowires composed of two homogeneous arms. It is shown that their spectrum can be explained in terms of the spectra of two independent arms. Finally, we investigate how the localization of the Majorana mode is transferred from the magnetic interface at the corner of the junction to the end of the nanowire when increasing the arm length.

10 pages, 13 figures. ( Only acknowledgement update )

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Cited by in corpus (4)

• Tilting of the magnetic field in Majorana nanowires: critical angle and zero-energy differential conductance
• Majorana states and magnetic orbital motion in planar hybrid nanowires
• Majorana phi0 Junction in a Disordered Spin-orbit Coupling Nanowire with Tilted Magnetic Field
• Optical absorption of semiconductor 2D Majorana nanowires