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Superconducting Qubits

Tomography of zero-energy end modes in topological superconducting wires

arXiv
Authors: Armando A. Aligia, Diego Pérez Daroca, Liliana Arrachea

Year

2020

Paper ID

22028

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

N/A

Abstract

We characterize the Majorana zero modes in topological hybrid superconductor-semiconductor wires with spin-orbit coupling and magnetic field, in terms of generalized Bloch coordinates varphi, θ, δ, and analyze their transformation under SU(2) rotations. We show that, when the spin-orbit coupling and the magnetic field are perpendicular, varphi and δ are universal in an appropriate coordinate system. We use these geometric properties to explain the behavior of the Josephson current in junctions of two wires with different orientations of the magnetic field and/or the spin-orbit coupling. We show how to extract from there, the angle θ, hence providing a full description of the Majorana modes.

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  • We characterize the Majorana zero modes in topological hybrid superconductor-semiconductor wires with spin-orbit coupling and magnetic field, in terms of generalized Bloch...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2007.11619 [2] arXiv https://arxiv.org/abs/2007.11619 [3] Publisher https://arxiv.org/abs/2007.11619

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