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Hybrid superconductor-semiconductor materials are fueling research inmesoscopic physics and quantum technology. Recently demonstrated smooth$\beta$-Sn superconductor shells, due to the increased induced gap, areexpanding the available parameter space to new regimes. Fabricated onquasiballistic InSb nanowires, with careful control over the hybrid interface,Sn shells yield critical current-normal resistance products exceedingtemperature by at least an order of magnitude even when nanowire resistance isof order 10k$\Omega$. In this regime Cooper pairs travel through a purely 1Dquantum wire for at least part of their trajectory. Here, we focus on theevolution of supercurrent in magnetic field parallel to the nanowire. Longdecay up to fields of 1T is observed. At the same time, the decay for higheroccupied subbands is notably faster in some devices but not in others. Weanalyze this using a tight-binding numerical model that includes the Zeeman,orbital and spin-orbit effects. When the first subband is spin polarized, weobserve a dramatic suppression of supercurrent, which is also confirmed by themodel and suggests an absence of significant triplet supercurrent generation.

Supercurrent through a single transverse mode in nanowire Josephson junctions