Topological Superconductor-Luttinger Liquid Junctions

Abstract

Experimental evidence was recently obtained for topological superconductivity in spin-orbit coupled nano wires in a magnetic field, proximate to an s-wave superconductor. When only part of the wire contacts the superconductor, a localized Majorana mode exists at the junction between superconducting and normal parts of the nanowire. We consider here the case of a T-junction between the superconductor and two normal nanowires and also the case of a single wire with two (or more) partially filled bands in the normal part. We find that coupling this 2-channel Luttinger liquid to the single Majorana mode at the junction produces frustration, leading to a critical point separating phases with perfect Andreev scattering in one channel and perfect normal scattering in the other.

54 pages, 14 .eps figure. Revised version. Various typos and incorrect factors in some equations (not affecting the main conclusions) have been corrected

References in corpus (9)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Topological Kondo effect with Majorana fermions
• Quantum phase transitions in the Bose-Fermi Kondo model
• Majorana-Klein hybridization in topological superconductor junctions
• Mutation of Andreev into Majorana bound states in long NS and SNS junctions
• Quantum Magnetic Impurities in Magnetically Ordered Systems
• Frustration of Decoherence in Open Quantum Systems
• Josephson current through a long quantum wire

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• Signatures of Majorana Kramers pairs in superconductor-Luttinger liquid and superconductor-quantum dot-normal lead junctions
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• Dynamically Induced Topology and Quantum Monodromies in a Proximity Quenched Gapless Wire
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