Strong spin–orbit semiconductor nanowires coupled to a superconductor are predicted to host Majorana zero modes. Exchange (braiding) operations of Majorana modes form the logical gates of a topological quantum computer and require a network of nanowires. Here, we utilize an in-plane selective area growth technique for InSb–Al semiconductor–superconductor nanowire networks. Transport channels, free from extended defects, in InSb nanowire networks are realized on insulating, but heavily mismatched InP (111)B substrates by full relaxation of the lattice mismatch at the nanowire/substrate interface and nucleation of a complete network from a single nucleation site by optimizing the surface diffusion length of the adatoms. Essential quantum transport phenomena for topological quantum computing are demonstrated in these structures including phase-coherence lengths exceeding several micrometers with Aharonov–Bohm oscillations up to five harmonics and a hard superconducting gap accompanied by 2e-periodic Coulomb oscillations with an Al-based Cooper pair island integrated in the nanowire network.

预计与超导体耦合的强自旋轨道半导体纳米线将具有马约拉纳零模。Majorana模式的交换（编织）操作形成拓扑量子计算机的逻辑门，并且需要纳米线网络。在这里，我们利用InSb-Al半导体-超导体纳米线网络的面内选择性区域生长技术。InSb纳米线网络中的传输通道没有扩展缺陷，可通过完全缓解纳米线/衬底界面处的晶格失配并从单个成核位置成核整个网络来在绝缘但严重失配的InP（111）B衬底上实现传输通道通过优化吸附原子的表面扩散长度。纳米线网络中集成有基于Al的Cooper对岛的电子周期库仑振荡。