Tomography of Zero-Energy End Modes in Topological Superconducting Wires

A. A. Aligia; D. Pérez Daroca; Liliana Arrachea

doi:10.1103/PhysRevLett.125.256801

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Tomography of Zero-Energy End Modes in Topological Superconducting Wires

A. A. Aligia, D. Pérez Daroca, Liliana Arrachea

DOI 10.1103/PhysRevLett.125.256801 · Physical Review Letters

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Abstract

We describe the Majorana zero modes in topological hybrid superconductor-semiconductor wires with spin-orbit coupling and magnetic field, in terms of generalized Bloch coordinates φ,θ,δ. When the spin-orbit coupling and the magnetic field are perpendicular, φ and δ are universal in an appropriate coordinate system. We show how to extract the angle θ from the behavior of the Josephson current-phase relation, which enables tomography of the Majorana modes. Simple analytical expressions describe accurately the numerical results.