AI 中文总结
研究超导-半导体约瑟夫森结阵列，通过制备不同间距的方形、超蜂窝阵列及控制装置，在面外场和面内场下观察临界电流特性，发现紧密间隔超蜂窝阵列在$f = 1$时出现临界电流最小值，受涡旋晶格几何形状和长程杂交影响。
AI 中文摘要
超导-半导体约瑟夫森结阵列是研究集体量子现象的独特可调平台，特别是在相邻结之间的物理间距小于其相干长度（$\xi_{\text{ABS}}>d_{\text{JJ}}$）时，局域安德列夫束缚态可在晶格中杂交的情况下。本文研究了三种不同的Al-InAs约瑟夫森结阵列：在$\xi_{\text{ABS}}>d_{\text{JJ}}$条件下制备的方形阵列和超蜂窝阵列，以及设计为$\xi_{\text{ABS}}\lesssim\!~d_{\text{JJ}}$的大间距超蜂窝控制装置。在面外场下，临界电流峰出现在有理填充因子处，反映了晶格中的稳定涡旋构型。在超蜂窝晶格中，涡旋在不同填充因子下定位到不同的非相同面元。旋转面内场会产生周期性临界电流振荡，反映了InAs量子阱固有的Rashba自旋轨道耦合。令人惊讶的是，在$f = 1$时，随着面内场大小增加，紧密间隔的超蜂窝阵列表现出明显的临界电流最小值，而方形阵列和大间距超蜂窝阵列中没有此特征。这些结果表明，该特征受超蜂窝涡旋晶格的独特几何形状和长程结间杂交共同影响。
英文摘要
Superconductor-semiconductor Josephson junction arrays are a uniquely tunable platform for studying collective quantum phenomena, particularly in the regime where localized Andreev bound states can hybridize across the lattice when the physical separation between adjacent junctions is smaller than their coherence length ($ξ_{\text{ABS}}>d_{\text{JJ}}$). Here, we investigate three distinct Al-InAs Josephson junction arrays: a square array and super-honeycomb array fabricated within this ${ξ_{\text{ABS}}>d_{\text{JJ}}}$ regime, as well as a larger-spacing super-honeycomb control device designed such that $ξ_{\text{ABS}}\lesssim\!~d_{\text{JJ}}$. Under an out-of-plane field, critical current peaks emerge at rational filling factors, reflecting stable vortex configurations in the lattices. In the super-honeycomb lattice, vortices localize to distinct non-identical plaquettes at different filling factors, as predicted by frustrated XY model simulations. A rotating in-plane field yields periodic critical current oscillations that reflect the Rashba spin-orbit coupling inherent to the InAs quantum well. Surprisingly, at $f = 1$, the closely spaced super-honeycomb array exhibits a distinct critical current minimum as the magnitude of the in-plane field increases, a signature absent in the square array and large-spacing super-honeycomb array. These results indicate that this signature is jointly influenced by the unique geometry of the super-honeycomb vortex lattice and by long-range inter-junction hybridization.
