SciPost Physics

SciPost Phys. 6, 060 (2019) · published 17 May 2019

• doi: 10.21468/SciPostPhys.6.5.060
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Abstract

Among the different platforms to engineer Majorana fermions in one-dimensional topological superconductors, topological insulator nanowires remain a promising option. Threading an odd number of flux quanta through these wires induces an odd number of surface channels, which can then be gapped with proximity induced pairing. Because of the flux and depending on energetics, the phase of this surface pairing may or may not wind around the wire in the form of a vortex. Here we show that for wires with discrete rotational symmetry, this vortex is necessary to produce a fully gapped topological superconductor with localized Majorana end states. Without a vortex the proximitized wire remains gapless, and it is only if the symmetry is broken by disorder that a gap develops, which is much smaller than the one obtained with a vortex. These results are explained with the help of a continuum model and validated numerically with a tight binding model, and highlight the benefit of a vortex for reliable use of Majorana fermions in this platform.

• Majlin Skiff et al., Confined vs. extended Dirac surface states in topological crystalline insulator nanowires
  SciPost Phys. Core 6, 011 (2023) [Crossref]
• Legg et al., Giant magnetochiral anisotropy from quantum-confined surface states of topological insulator nanowires
  Nat. Nanotechnol. 17, 696 (2022) [Crossref]
• Fuchs et al., Crossed Andreev reflection in topological insulator nanowire T junctions
  Phys. Rev. B 104, 085415 (2021) [Crossref]
• Behner et al., In-plane magnetic field driven conductance modulations in topological insulator kinks
  Phys. Rev. B 109, 155429 (2024) [Crossref]
• Heffels et al., Robust and Fragile Majorana Bound States in Proximitized Topological Insulator Nanoribbons
  Nanomaterials 13, 723 (2023) [Crossref]
• Kayyalha et al.,
  20, 241 (2021) [Crossref]
• Rößler et al., Top-Down Fabrication of Bulk-Insulating Topological Insulator Nanowires for Quantum Devices
  Nano Lett. 23, 2846 (2023) [Crossref]
• Legg et al., Majorana bound states in topological insulators without a vortex
  Phys. Rev. B 104, 165405 (2021) [Crossref]
• Legg et al., Metallization and proximity superconductivity in topological insulator nanowires
  Phys. Rev. B 105, 155413 (2022) [Crossref]
• Di Miceli et al., Conductance asymmetry in proximitized magnetic topological insulator junctions with Majorana modes
  Phys. Rev. B 108, 035424 (2023) [Crossref]
• Sharma et al., Comprehensive review on topological superconducting materials and interfaces
  Supercond. Sci. Technol. 35, 083003 (2022) [Crossref]
• Jana et al., Jackiw-Rebbi zero modes in non-uniform topological insulator nanowire
  Phys. Rev. B 100, 085428 (2019) [Crossref]
• Himmler et al., Supercurrent interference in HgTe-wire Josephson junctions
  Phys. Rev. Research 5, 043021 (2023) [Crossref]
• Peñaranda et al., Even-odd effect and Majorana states in full-shell nanowires
  Phys. Rev. Research 2, 023171 (2020) [Crossref]
• Wagner et al., Landau levels in curved space realized in strained graphene
  SciPost Phys. Core 5, 029 (2022) [Crossref]
• Chen et al., Electrostatic environment and Majorana bound states in full-shell topological insulator nanowires
  Phys. Rev. B 109, 075408 (2024) [Crossref]
• Osca et al., Fabry–Pérot interferometry with gate-tunable 3D topological insulator nanowires
  Nanotechnology 32, 435002 (2021) [Crossref]
• Saxena et al., Electronic confinement of surface states in a topological insulator nanowire
  Phys. Rev. B 106, 035407 (2022) [Crossref]
• Gestsson et al., Anisotropic transport properties in prismatic topological insulator nanowires
  Phys. Rev. B 110, 115307 (2024) [Crossref]
• Fischer et al., 4π -periodic supercurrent tuned by an axial magnetic flux in topological insulator nanowires
  Phys. Rev. Research 4, 013087 (2022) [Crossref]