Tomography of zero-energy end modes in topological superconducting wires

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 $\phi ,\theta ,\delta$, and analyze their transformation under SU(2) rotations. We show that, when the spin-orbit coupling and the magnetic field are perpendicular, $\phi$ and $\delta$ 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 $\theta$, hence providing a full description of the Majorana modes.

main 5 pages (without references) and 3 figures, a supplemental material of 8 pages and 2 figures. Accepted version

References in corpus (16)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• SNS junctions in nanowires with spin-orbit coupling: role of confinement and helicity on the sub-gap spectrum
• Fermion-parity anomaly of the critical supercurrent in the quantum spin-Hall effect
• Fermionic and Majorana Bound States in Hybrid Nanowires with Non-Uniform Spin-Orbit Interaction
• A generalization of Bloch's theorem for arbitrary boundary conditions: Theory
• Supercurrent blockade in Josephson junctions with a Majorana wire
• Quantum-Dot Parity Effects in Trivial and Topological Josephson Junctions
• Parity anomaly and spin transmutation in quantum spin Hall Josephson junctions
• Tilting of the magnetic field in Majorana nanowires: critical angle and zero-energy differential conductance
• Effects of tilting the magnetic field in 1D Majorana nanowires
• Dynamics of hybrid junctions of Majorana wires
• Time scales for charge-transfer based operations on Majorana systems
• Survival of the fractional Josephson effect in time-reversal-invariant topological superconductors

Cited by in corpus (9)

• Braiding higher-order Majorana corner states through their spin degree of freedom
• Nonequilibrium electrical, thermal and spin transport in open quantum systems of topological superconductors, semiconductors and metals
• Josephson diode effect with Andreev and Majorana bound states
• Phase diagram of a model for topological superconducting wires
• Josephson junctions of 2D time-reversal invariant superconductors: signatures of the topological phase
• Transport features of a topological superconducting nanowire with a quantum dot: conductance and noise
• Nonlocal thermoelectricity in quantum wires as a signature of Bogoliubov-Fermi points
• Effect of interatomic repulsion on Majorana zero modes in a coupled quantum-dot-superconducting-nanowire hybrid system
• Antichiral edge states and Bogoliubov Fermi surfaces in a two-dimensional proximity-induced superconductor