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arXiv 2211.10312cond-mat.mes-hall
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超导导线耦合双量子点的广义原子极限

Generalized atomic limit of a double quantum dot coupled to superconducting leads

Martin Žonda, Peter Zalom, Tomáš Novotný, Georgios Loukeris, Jakob Bätge, Vladislav Pokorný

摘要:

提出了一个精确可解的双量子点与超导导线耦合的有效模型。该模型是著名的超导原子极限近似的范例超导杂质安德森模型的推广。然而,与标准的原子极限和其他有效的模型相比,它给出了定量正确的预测的量子相变的边界,subgap束缚态以及约瑟夫森超导在一个广泛的参数范围内,包括实验相关的制度。该模型允许快速和可靠的参数扫描重要的准备和分析的实验,否则无法通过更精确的,但计算量大的方法,如量子蒙特卡罗或数值重整化群。扫描还使我们能够识别和研究新的以前未被注意的相图制度。我们提供了一个彻底的分析的优势和局限性的有效模型和基准的预测对数值重整化群的结果。

英文摘要:

We present an exactly solvable effective model of a double quantum dot coupled to superconducting leads. This model is a generalization of the well-known superconducting atomic limit approximation of the paradigmatic superconducting impurity Anderson model. However, in contrast to the standard atomic limit and other effective models, it gives quantitatively correct predictions for the quantum phase transition boundaries, subgap bound states as well as Josephson supercurrent in a broad range of parameters including experimentally relevant regimes. The model allows fast and reliable parameter scans important for the preparation and analysis of experiments which are otherwise inaccessible by more precise but computational heavy methods such as quantum Monte Carlo or the numerical renormalization group. The scans also allowed us to identify and investigate new previously unnoticed phase diagram regimes. We provide a thorough analysis of the strengths and limitations of the effective model and benchmark its predictions against numerical renormalization group results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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