Josephson量子点中Andreev束缚态的磁电谱
Magneto-electric spectroscopy of Andreev bound states in Josephson quantum dots
摘要：
我们从理论上研究了与超导导线接触的单轨道相互作用量子点中Andreev能级的行为，重点研究了静电门控和外加磁场的影响，这与最近的实验光谱研究有关。为了可靠地考虑自旋极化效应存在的相关性，我们在这里扩展两个简单的和互补的方法，量身定制的捕获有效的Andreev水平：静态功能重整化群（fRG）和自洽Andreev束缚态（SCABS）理论。我们提供的基准对精确的大间隙的解决方案，以及NRG计算，并找到良好的定量协议的有效性范围内。实现的方法的大的灵活性，然后允许我们分析一个相当大的参数空间，允许得到更深入的物理理解到塞曼场，静电门，和流量依赖的Andreev水平在相互作用的纳米结构。
英文摘要：
We theoretically investigate the behavior of Andreev levels in a single-orbital interacting quantum dot in contact to superconducting leads, focusing on the effect of electrostatic gating and applied magnetic field, as relevant for recent experimental spectroscopic studies. In order to account reliably for spin-polarization effects in presence of correlations, we extend here two simple and complementary approaches that are tailored to capture effective Andreev levels: the static functional renormalization group (fRG) and the self-consistent Andreev bound states (SCABS) theory. We provide benchmarks against the exact large-gap solution as well as NRG calculations and find good quantitative agreement in the range of validity. The large flexibility of the implemented approaches then allows us to analyze a sizeable parameter space, allowing to get a deeper physical understanding into the Zeeman field, electrostatic gate, and flux dependence of Andreev levels in interacting nanostructures.
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