We explore local Andreev reflection and crossed Andreev reflection in a normal metal (N)–superconductor (S)–normal metal (N) hybrid junction based on the lattice. Initially, both the left and right sections feature dice lattice structures (). We compute probabilities for electron reflection, local Andreev reflection, electron transmission, and crossed Andreev reflection, as well as local conductance, electron transmission conductance, and crossed Andreev reflection conductance. Subsequently, we analyze structures with the left side featuring dice lattice and the right side graphene (), as well as the reverse configuration. Our findings reveal that crossed Andreev reflections are more prevalent in the graphene–superconductor–dice lattice (GSD) junction, particularly with moderate superconducting region lengths, larger electron incidence angles, and lower electron incidence energy.

中文翻译：

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混合[公式省略]晶格结中的Andreev反射

我们探索了基于晶格的普通金属（N）-超导体（S）-普通金属（N）混合结中的局部安德烈夫反射和交叉安德烈夫反射。最初，左右部分均具有骰子晶格结构（）。我们计算电子反射、局部安德烈夫反射、电子传输和交叉安德烈夫反射的概率，以及局部电导、电子传输电导和交叉安德烈夫反射电导。随后，我们分析了左侧具有骰子晶格和右侧石墨烯（）的结构，以及相反的配置。我们的研究结果表明，交叉安德烈夫反射在石墨烯-超导体-晶粒晶格（GSD）结中更为普遍，特别是在超导区长度适中、电子入射角较大和电子入射能量较低的情况下。