arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2001.06008cond-mat.mes-hallcond-mat.str-elphysics.chem-ph
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单分子结的格林函数方法

Green's function methods for single molecule junctions

Guy Cohen, Michael Galperin

摘要:

我们提出了一个简短的教学回顾理论格林函数方法适用于开放量子系统的平衡一般,特别是单分子结。我们简要介绍了分子电子学的实验进展,然后讨论不同的理论方法。然后,我们专注于格林函数方法。控制物理学的两个特征能量尺度是结内的多体相互作用和分子接触耦合。因此,我们讨论弱相互作用和弱耦合,作为两个限制,可以方便地处理内,分别是标准的非平衡格林函数(NEGF)方法和它的多体风味(pseudoparticle和哈伯德NEGF)。我们认为,中间制度,其中两个能量尺度是可比的,在许多情况下,可以有效地处理内最近推出的超微扰双费米子的方法。最后,我们审查的方法,超越这些分析可访问的限制,体现了最近的发展,在数值精确的方法的基础上格林函数。

英文摘要:

We present a brief pedagogical review of theoretical Green's function methods applicable to open quantum systems out of equilibrium in general, and single molecule junctions in particular. We briefly describe experimental advances in molecular electronics, then discuss different theoretical approaches. We then focus on Green's function methods. Two characteristic energy scales governing the physics are many-body interactions within the junctions, and molecule-contact coupling. We therefore discuss weak interactions and weak coupling, as two limits that can be conveniently treated within, respectively, the standard nonequilibrium Green's function (NEGF) method and its many-body flavors (pseudoparticle and Hubbard NEGF). We argue that the intermediate regime, where the two energy scales are comparable, can in many cases be efficiently treated within the recently introduced superperturbation dual fermion approach. Finally, we review approaches for going beyond these analytically accessible limits, as embodied by recent developments in numerically exact methods based on Green's functions.

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