Luttinger liquid in contact with a Kramers pair of Majorana bound states

Abstract

We discuss the signatures of a Kramers pair of Majorana modes formed in a Josephson junction on top of a quantum spin Hall system. We show that, while ignoring interactions on the quantum spin Hall edge allows arbitrary Andreev process in the system, moderate repulsive interactions stabilize Andreev transmission - the hole goes into the opposite lead from where the electron has arrived. We analyze the renormalization group equations and deduce the existence of a non-trivial critical point for sufficiently strong interactions.

29 pages, 11 figures; v4: minor typos corrected

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Cited by in corpus (18)

• Detection of Majorana Kramers pairs using a quantum point contact
• Low-field Topological Threshold in Majorana Double Nanowires
• Quantum Computing with Majorana Kramers Pairs
• Transfer matrix approach to the persistent current in hybrid normal-superconducting rings
• Electron Teleportation in Multi-Terminal Majorana Islands: Statistical Transmutation and Fractional Quantum Conductance
• Formation and detection of Majorana modes in quantum spin Hall trenches
• Signatures of time-reversal-invariant topological superconductivity in the Josephson effect
• Multichannel charge Kondo effect and non-Fermi liquid fixed points in conventional and topological superconductor islands
• Signatures of Majorana Kramers pairs in superconductor-Luttinger liquid and superconductor-quantum dot-normal lead junctions
• Two-Channel Kondo Physics in a Majorana Island Coupled to a Josephson Junction
• Survival of the fractional Josephson effect in time-reversal-invariant topological superconductors
• From Kondo effect to weak-link regime in quantum spin-1/2 spin chains
• Real fermion modes, impurity entropy, and nontrivial fixed points in the phase diagram of junctions of interacting quantum wires and topological superconductors
• Fraunhofer pattern in the presence of Majorana zero modes
• Interaction effects in superconductor/quantum spin Hall devices: universal transport signatures and fractional Coulomb blockade
• Spin-resolved spectroscopy of helical Andreev bound states
• Quantum critical points in tunneling junction of topological superconductor and topological insulator
• Buried Dirac points in quantum spin Hall insulators: Implications for Majorana Kramers pair-based quantum computing