Transport properties of topological superconductor-Luttinger liquid junctions: a real-time Keldysh approach

Abstract

Inspired by a recent experimental observation of the zero-bias tunneling conductance in superconductor-semiconductor nanowire devices, we consider here transport properties of the junctions consisting of a nanowire (Luttinger liquid) coupled to a topological superconductor characterized by the presence of Majorana zero-energy end states. The presence of the Majorana modes leads to a quantization of the zero-bias tunneling conductance at zero temperature. In order to understand this phenomenon, we have developed a framework, based on real-time Keldysh technique, which allows one to compute tunneling conductance at finite temperature and voltage in a realistic experimental setup. Our approach allows one to understand this transport phenomenon from a more general perspective by including the effect of interactions in the nanowire, which sometimes results in a drastic departure from the non-interacting predictions. Thus, our results provide a key insight for the tunneling experiments aiming at detecting Majorana particles in one-dimensional nanowire devices.

17 pages, 2 figures; minor changes, refs added

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Cited by in corpus (23)

• Majorana Zero Modes and Topological Quantum Computation
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Probing Majorana Physics in Quantum Dot Shot Noise Experiments
• Tunneling spectra simulation of interacting Majorana wires
• Exotic circuit elements from zero-modes in hybrid superconductor/quantum Hall systems
• All Majorana Models with Translation Symmetry are Supersymmetric
• Interplay between Kondo and Majorana interactions in quantum dots
• Transport properties of the Coulomb-Majorana junction
• Majorana zero modes choose Euler numbers - revealed by full counting statistics
• Universal nonequilibrium signatures of Majorana zero modes in quench dynamics
• Topological superconductivity in a multichannel Yu-Shiba-Rusinov chain
• Transport through a Majorana island: strong tunneling regime
• Signatures of Majorana Kramers pairs in superconductor-Luttinger liquid and superconductor-quantum dot-normal lead junctions
• Conductance of a Finite Kitaev Chain
• Signatures of Topological Superconductivity and Parafermion Zero Modes in Fractional Quantum Hall Edges
• Quantum charge fluctuations of a proximitized nanowire
• Coulomb Blockade in Fractional Topological Superconductors
• Detecting Majorana fermions by use of superconductor-quantum Hall liquid junctions
• Tunneling between a topological superconductor and a Luttinger liquid
• Environmental Coulomb blockade of topological superconductor-normal metal junctions
• Interaction effects in superconductor/quantum spin Hall devices: universal transport signatures and fractional Coulomb blockade
• Majorana transport in superconducting nanowire with Rashba and Dresselhaus spin-orbit couplings
• Quantum critical points in tunneling junction of topological superconductor and topological insulator