使用量子点研究耗散Floquet Majorana模式的性质
Properties of dissipative Floquet Majorana modes using a quantum dot
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中文总结 AI 辅助
本文通过耦合量子点的周期驱动纳米线，研究耗散Floquet Majorana零模的电子电导，提出数值方法准确计入超导浴耗散效应，发现峰值电导可由FMZM寿命的普适函数描述，为测试FMZMs的存在与寿命提供了关键方法。
中文摘要 AI 辅助
我们研究了耦合到量子点的周期性驱动纳米线中耗散Floquet Majorana零模（FMZMs）的电子电导。我们使用了一种数值方法，能够准确考虑来自超导浴的耗散效应，该效应导致FMZMs具有有限的寿命。结果表明，在弱纳米线-量子点耦合区域，零温下共振量子点的峰值电导可以很好地用FMZM寿命经纳米线-量子点耦合强度重标度后的普适函数来近似：对于较长的FMZM寿命，电导接近特征量子化值$G = e^2/2h$；而当FMZMs寿命趋于零时，$G \ ightarrow e^2/h$（未耦合量子点）。原则上，该方法可用于测试此类器件中FMZMs的存在与寿命，这对这些拓扑态的任何实际应用都至关重要。
英文摘要
We study the electronic conductance of dissipative Floquet Majorana zero modes (FMZMs) in a periodically driven nanowire coupled to a quantum dot. We use a numerical method which can accurately take into account the dissipation effects from the superconducting bath, which causes the FMZMs to have a finite lifetime. Our results show that, in the weak nanowire-dot coupling regime, the peak conductance at zero temperature of the resonant dot can be well approximated by a universal function of the FMZM lifetime rescaled with the nanowire-dot coupling strength: For a long FMZM's lifetime, the conductance approaches the characteristic quantized value of $G = e^2/2h$, whereas $G \rightarrow e^2/h$ (uncoupled dot) as the FMZMs' lifetime goes to zero. In principle, our method can be used to test the presence and lifetime of FMZMs in such devices, which is key for any practical application of these topological states.
