论文标题
1D波导中的自旋轨道辅助电子配对
Spin-orbit-assisted electron pairing in 1D waveguides
论文作者
论文摘要
了解和控制相互作用费米子的传输特性是各种实验平台量子物理学的关键最前沿。由$ \ mathrm {laalo_3} $/$ \ mathrm {srtio_3} $接口写在$ \ mathrm {laalo_3} $界面上的一维电子通道的最新实验的动机，我们分析了不同形式的旋转 - 方向耦合（SOC）的存在如何增强1D WaveGuides中的电子配对。我们首先展示电子在界面上的内在rashba soc感觉如何在$ \ mathrm {laalo_3} $/$ \ mathrm {srtio_3} $中如何减少它们在1D中限制时可以减少它们。然后，我们讨论如何设计SOC，并使用SOC可以生成并增强旋转单元和三重态电子配对的平均场hartree-fock-bogoliubov模型来显示。我们的结果与最近的两组实验相一致[Briggeman等，Arxiv：1912.07164；科学。 ADV。 6，EABA6337（2020）]，据信这项工作中所研究的SOC形式，这表明金属氧化物异质结构构成了控制电子结合状态的集体旋转的有吸引力的平台。但是，我们的发现也可以应用于其他实验平台，涉及具有吸引人相互作用（例如冷原子）的拼写费用。
Understanding and controlling the transport properties of interacting fermions is a key forefront in quantum physics across a variety of experimental platforms. Motivated by recent experiments in 1D electron channels written on the $\mathrm{LaAlO_3}$/$\mathrm{SrTiO_3}$ interface, we analyse how the presence of different forms of spin-orbit coupling (SOC) can enhance electron pairing in 1D waveguides. We first show how the intrinsic Rashba SOC felt by electrons at interfaces such as $\mathrm{LaAlO_3}$/$\mathrm{SrTiO_3}$ can be reduced when they are confined in 1D. Then, we discuss how SOC can be engineered, and show using a mean-field Hartree-Fock-Bogoliubov model that SOC can generate and enhance spin-singlet and triplet electron pairing. Our results are consistent with two recent sets of experiments [Briggeman et al., arXiv:1912.07164; Sci. Adv. 6, eaba6337 (2020)] that are believed to engineer the forms of SOC investigated in this work, which suggests that metal-oxide heterostructures constitute attractive platforms to control the collective spin of electron bound states. However, our findings could also be applied to other experimental platforms involving spinful fermions with attractive interactions, such as cold atoms.
