约瑟夫森量子点器件中Andreev束缚态的自洽描述
Self-consistent description of Andreev bound states in Josephson quantum dot devices
摘要：
我们发展了一个基于超导原子极限的一般微扰框架，用于描述与超导导线连接的相互作用量子点中的Andreev束缚态。一个本地的有效哈密顿量的修饰ABS，包括原子（或分子）水平和诱导的邻近效应的点被认为是一个自然的出发点。一个自洽的膨胀在单粒子隧穿事件中示出，以提供准确的结果，即使在制度的超导能隙小于原子的能量，证明了最近的数值重整化群计算的比较。这个简单的公式可以解释超导设备中的Andreev光谱实验，例如碳纳米管的STM测量，或光量子点的辐射发射。
英文摘要：
We develop a general perturbative framework based on a superconducting atomic limit for the description of Andreev bound states (ABS) in interacting quantum dots connected to superconducting leads. A local effective Hamiltonian for dressed ABS, including both the atomic (or molecular) levels and the induced proximity effect on the dot is argued to be a natural starting point. A self-consistent expansion in single-particle tunneling events is shown to provide accurate results even in regimes where the superconducting gap is smaller than the atomic energies, as demonstrated by a comparison to recent Numerical Renormalization Group calculations. This simple formulation may have bearings for interpreting Andreev spectroscopic experiments in superconducting devices, such as STM measurements on carbon nanotubes, or radiative emission in optical quantum dots.
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