Orbital effect of magnetic field on the Majorana phase diagram
arXiv:1509.02675 · doi:10.1103/PhysRevB.93.235434
Abstract
Studies of Majorana bound states in semiconducting nanowires frequently neglect the orbital effect of magnetic field. Systematically studying its role leads us to several conclusions for designing Majoranas in this system. Specifically, we show that for experimentally relevant parameter values orbital effect of magnetic field has a stronger impact on the dispersion relation than the Zeeman effect. While Majoranas do not require a presence of only one dispersion subband, we observe that the size of the Majoranas becomes unpractically large, and the band gap unpractically small when more than one subband is filled. Since the orbital effect of magnetic field breaks several symmetries of the Hamiltonian, it leads to the appearance of large regions in parameter space with no band gap whenever the magnetic field is not aligned with the wire axis. The reflection symmetry of the Hamiltonian with respect to the plane perpendicular to the wire axis guarantees that the wire stays gapped in the topologically nontrivial region as long as the field is aligned with the wire.
5 pages, 6 figures, data available at http://dx.doi.org/10.4121/uuid:20f1c784-1143-4c61-a03d-7a3454914abb
References in corpus (10)
- 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
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
- Spin-orbit interaction in InSb nanowires
- Parity independence of the zero-bias conductance peak in a nanowire based topological superconductor-quantum dot hybrid device
- Effects of the electrostatic environment on the Majorana nanowire devices
- 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
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