论文标题
部分可观测时空混沌系统的无模型预测
Probing Fermi sea topology by Andreev state transport
论文作者
论文摘要
我们表明，二维电子气体（2DEG）的费米海的拓扑反映在沿着长而狭窄的约瑟夫森$π$口气的弹道陆地运输中，该运输与2DEG相关。与连接点结合的低能量Andreev状态显示出对Fermi Sea的Euler特征敏感的分散体（$χ_f$）。我们重点介绍了两个重要关系：一个人将Andreev状态的电子/孔性质连接到费米表面临界点的凸/凹面性质，一个将这些临界点与$χ_f$相关联。然后，我们认为，安德里夫州的运输会导致量化的电导量，探测$χ_f$。提出了一个实验来衡量这种效果，我们从中预测$ i $ -v $的特征不仅可以捕获金属中费米海的拓扑，而且类似于二极管中的整流效应。最后，我们评估了测量石墨烯，INA和HGTE 2DEG中这种量化响应的可行性。
We show that the topology of the Fermi sea of a two-dimensional electron gas (2DEG) is reflected in the ballistic Landauer transport along a long and narrow Josephson $π$-junction that proximitizes the 2DEG. The low-energy Andreev states bound to the junction are shown to exhibit a dispersion that is sensitive to the Euler characteristic of the Fermi sea ($χ_F$). We highlight two important relations: one connects the electron/hole nature of Andreev states to the convex/concave nature of Fermi surface critical points, and one relates these critical points to $χ_F$. We then argue that the transport of Andreev states leads to a quantized conductance that probes $χ_F$. An experiment is proposed to measure this effect, from which we predict an $I$-$V$ characteristic that not only captures the topology of Fermi sea in metals, but also resembles the rectification effect in diodes. Finally, we evaluate the feasibility of measuring this quantized response in graphene, InAs and HgTe 2DEGs.
