%0 Journal Article %T Josephson coupling through one-dimensional ballistic channel in semiconductor-superconductor hybrid quantum point contacts %A Hiroshi Irie %A Yuichi Harada %A Hiroki Sugiyama %A Tatsushi Akazaki %J Physics %D 2014 %I arXiv %R 10.1103/PhysRevB.89.165415 %X We study a superconducting quantum point contact made of a narrow In$_{0.75}% $Ga$_{0.25}$As channel with Nb proximity electrodes. The narrow channel is formed in a gate-fitted constriction of InGaAs/InAlAs/InP heterostructure hosting a two-dimensional electron gas. When the channel opening is varied with the gate, the Josephson critical current exhibits a discretized variation that arises from the quantization of the transverse momentum in the channel. The quantization of Josephson critical current persists down to the single-channel regime, providing an unambiguous demonstration of a semiconductor--superconductor hybrid Josephson junction involving only a single ballistic channel. %U http://arxiv.org/abs/1404.5390v1