The quest to understand, design, and synthesize new forms of quantum matter guides much of contemporary research in condensed matter physics. One-dimensional (1D) electronic systems form the basis for some of the most interesting and exotic phases of quantum matter. Here, we describe a family of quasi-1D nanostructures, based on LaAlO₃/SrTiO₃ electron waveguides, in which a sinusoidal transverse spatial modulation is imposed. These devices display unique dispersive features in the subband spectra, namely, a sizeable shift (∼7 T) in the spin-dependent subband minima, and fractional conductance plateaus. The first property can be understood as an engineered spin-orbit interaction associated with the periodic acceleration of electrons as they undulate through the nanowire (ballistically), while the second property signifies the presence of enhanced electron-electron scattering in this system. The ability to engineer these interactions in quantum wires contributes to the tool set of a 1D solid-state quantum simulation platform.

寻求理解，设计和合成新形式的量子物质的指南，指导了凝聚态物理的当代研究。一维（1D）电子系统构成了一些最有趣和最奇特的量子物质相的基础。在这里，我们描述了一个基于LaAlO ₃ / SrTiO ₃的准一维纳米结构家族电子波导，其中施加了正弦横向空间调制。这些器件在子带频谱中显示出独特的色散特性，即，在自旋相关子带最小值中有相当大的偏移（〜7 T），并且电导率平台处于平稳状态。第一个性质可以理解为与电子周期性波动（通过弹道）波动时电子的周期性加速相关的工程自旋轨道相互作用，而第二个性质表示该系统中存在增强的电子电子散射。在量子线中设计这些相互作用的能力有助于一维固态量子仿真平台的工具集。