Catalogue of Andreev spectra and Josephson effects in structures with time-reversal-invariant topological superconductor wires

Abstract

We study all the possible different two terminal configurations of Josephson junctions containing wires of time-reversal invariant topological superconductors (TRITOPS) and ordinary superconductors, including combinations with an interacting quantum dot between both wires in the junction. We introduce simple effective Hamiltonians which explain the different qualitative behaviors obtained. We analyze a wide range of phenomena, including occurrence and quenching of the so called $0-\pi$ transition, anomalous periodicity and jumps of the Josephson current as a function of the phase difference, and finite Josephson current in the absence of magnetic flux.

10 pages, 7 figures, more references to related work and discussion of the effective Hamiltonians added in the revised version

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Cited by in corpus (12)

• Survival of the fractional Josephson effect in time-reversal-invariant topological superconductors
• Topological superconducting phases and Josephson effect in curved time-reversal-invariant superconductors
• Tomography of zero-energy end modes in topological superconducting wires
• Josephson junctions of 2D time-reversal invariant superconductors: signatures of the topological phase
• Phase diagram of a model for topological superconducting wires
• Spontaneous Josephson $\pi$ Junctions with Topological Superconductors
• Majorana-mediated thermoelectric transport in multiterminal junctions
• Topological Kondo effect with spinful Majorana fermions
• Topological Josephson Junctions in the Integer Quantum Hall Regime
• Exact analytical solution of a time-reversal-invariant topological superconducting wire
• Resonator induced quantum phase transitions in a hybrid Josephson junction
• Binding zero modes with fluxons in Josephson junctions of time-reversal invariant topological superconductors