Tunneling Density of States, Pair Correlation, and Josephson Current in Spin-Incoherent Luttinger Liquid-Superconductor Hybrid Systems

Abstract

We study a hybrid system consisting of a spin-incoherent Luttinger liquid adjoined at one or both ends to a superconductor. We find the tunneling density of states diverges at low energies and exhibits a universal frequency dependence independent of the strength of the interactions in the system. We show that in spite of exponentially decaying pair correlations with distance into the spin-incoherent Luttinger liquid, the Josephson current remains robust. Compared to the zero temperature Luttinger liquid case there is a factor of 2 reduction in the critical current and a halving of the period in the phase difference between the superconductors. Our results open the way for a new class of experiments in the spin-incoherent regime of one dimensional systems.

5 pages, 2 figures, definition of the spin-incoherent luttinger regime clarified, references 3 and 10 updated

References in corpus (9)

• Tunable Supercurrent Through Semiconductor Nanowires
• Spin-charge separation and localization in one-dimension
• Green's function for magnetically incoherent interacting electrons in one dimension
• Localization Transition in a Ballistic Quantum Wire
• Transport in a spin incoherent Luttinger liquid
• Asymmetric Zero-Bias Anomaly for Strongly Interacting Electrons in One Dimension
• Interference as a Probe of Spin Incoherence in Strongly Interacting Quantum Wires
• Length-Dependent Conductance of a Spin-Incoherent Hubbard chain; Monte Carlo Calculations
• Multiple crossovers in interacting quantum wires

Cited by in corpus (4)

• Andreev reflection versus Coulomb blockade in hybrid semiconductor nanowire devices
• Singular responses of spin-incoherent Luttinger liquids
• Junctions of Spin-Incoherent Luttinger Liquids with Ferromagnets and Superconductors
• Local Density of States in a Helical Tomonaga-Luttinger Liquid of Loop and Josephson Junction Geometries