论文标题

半填充的安德森杂质的光谱和运输特性,与相位偏置的超导和金属铅相连

Spectral and transport properties of a half-filled Anderson impurity coupled to phase-biased superconducting and metallic leads

论文作者

Zalom, Peter, Pokorný, Vladislav, Novotný, Tomáš

论文摘要

我们得出并采用一般方案来映射由半填充的单个水平量子点组成的设置,该设置耦合到一个正常的金属和两个超导相位偏置的导线上,将其带到一个普通的半填充单个杂质的安德森模型,并具有单个修改的状态隧道密度。该理论允许标准数值重新归一化组的原本不可行的应用,并使能够获得相关的局部光谱特性以及相关诱导的配对和约瑟夫森电流。所得的运输特性与数值确切的连续时杂交 - 量子量子蒙特卡洛非常匹配。 For weakly coupled normal electrode, the spectral properties can be interpreted in terms of normal-electrode-broadened Andreev bound states with phase-dependent position analogous to the superconducting Anderson model, which coexist in the $π$-like phase with a Kondo peak whose phase-dependent Kondo temperature follows the form conjectured previously in Domański et al., Phys.~Rev.~B {\bf 95},045104(2017)

We derive and apply a general scheme for mapping a setup consisting of a half-filled single level quantum dot coupled to one normal metallic and two superconducting phase-biased leads onto an ordinary half-filled single impurity Anderson model with single modified tunneling density of states. The theory allows for the otherwise unfeasible application of the standard numerical renormalization group and enables to obtain phase-dependent local spectral properties as well as phase-dependent induced pairing and Josephson current. The resulting transport properties match well with the numerically exact continuous-time hybridization-expansion quantum Monte Carlo. For weakly coupled normal electrode, the spectral properties can be interpreted in terms of normal-electrode-broadened Andreev bound states with phase-dependent position analogous to the superconducting Anderson model, which coexist in the $π$-like phase with a Kondo peak whose phase-dependent Kondo temperature follows the form conjectured previously in Domański et al., Phys.~Rev.~B {\bf 95}, 045104 (2017)

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