One-dimensional topological superconductivity based entirely on phase control

Abstract

Topological superconductivity in one dimension requires time-reversal symmetry breaking, but at the same time it is hindered by external magnetic fields. We offer a general prescription for inducing topological superconductivity in planar superconductor-normal-superconductor-normal-superconductor (SNSNS) Josephson junctions without applying any magnetic fields on the junctions. Our platform relies on two key ingredients: the three parallel superconductors form two SNS junctions with phase winding, and the Fermi velocities for the two spin branches transverse to the junction must be different from one another. The two phase differences between the three superconductors define a parameter plane which includes large topological regions. We analytically derive the critical curves where the topological phase transitions occur, and corroborate the result with a numerical calculation based on a tight-binding model. We further propose material platforms with unequal Fermi velocities, establishing the experimental feasibility of our approach.

5+10 pages, 3+8 figures

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Cited by in corpus (16)

• Altermagnetic Routes to Majorana Modes in Zero Net Magnetization
• Hunting for Majoranas
• Phase-dependent Andreev molecules and superconducting gap closing in coherently coupled Josephson junctions
• Engineering of anomalous Josephson effect in coherently coupled Josephson junctions
• Planar Josephson junctions in germanium: Effect of cubic spin-orbit interaction
• Progress in superconductor-semiconductor topological Josephson junctions
• Majorana bound states in germanium Josephson junctions via phase control
• Phenomenology of Majorana zero modes in full-shell hybrid nanowires
• Topological superconductivity in Fibonacci quasicrystals
• Microscopic analysis of proximity-induced superconductivity and metallization effects in superconductor-germanium hole nanowires
• Strong-coupling approach to temperature dependence of competing orders of superconductivity: Possible time-reversal symmetry breaking and nontrivial topology
• Phase-controlled minimal Kitaev chain in multiterminal Josephson junctions
• Identifying Majorana Zero Modes in Vortex Lattices Using Fano Factor Tomography
• Josephson junction arrays as a platform for topological phases of matter
• Electron Interference as a Probe of Majorana Zero Modes
• Gapfull and gapless $1$D Topological Superconductivity in Spin-Orbit Coupled Bilayer Graphene