A review of modeling interacting transient phenomena with non-equilibrium Green functions
A review of modeling interacting transient phenomena with non-equilibrium Green functions
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DOI：
10.1088/1361-6633/aafe5f
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发表时间：
2019-01
影响因子：
18.1
通讯作者：
Mark R. Hirsbrunner;Timothy M. Philip;Bora Basa;Youngseok Kim;Moon Jip Park;M. Gilbert
中科院分区：
文献类型：
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作者：
Mark R. Hirsbrunner;Timothy M. Philip;Bora Basa;Youngseok Kim;Moon Jip Park;M. Gilbert
实验探针已经成熟到可以观察材料和器件的超快瞬态和高频响应，因此有了数值和解析模拟时分辨和频分辨输运的理论方法。本文综述了时变和频变非平衡格林函数（NEGF）技术的最新进展。我们首先概述了潜在的Kadanoff-Baym方程的理论基础，并推导了时域和频域的基本NEGF方程。我们讨论了这些方法如何应用于各种凝聚态系统，如分子电子学、纳米级晶体管和超导体。此外，我们调查了负能量场在凝聚态物质以外的领域的应用，它已被用于研究超冷原子的热化和理解早期宇宙的轻生。在整个过程中，我们特别关注结合接触和相互作用的挑战，因为NEGF方法具有考虑这些特征的独特能力。
As experimental probes have matured to observe ultrafast transient and high frequency responses of materials and devices, so to have the theoretical methods to numerically and analytically simulate time- and frequency-resolved transport. In this review article, we discuss recent progress in the development of the time-dependent and frequency-dependent non-equilibrium Green function (NEGF) technique. We begin with an overview of the theoretical underpinnings of the underlying Kadanoff–Baym equations and derive the fundamental NEGF equations in the time and frequency domains. We discuss how these methods have been applied to a variety of condensed matter systems such as molecular electronics, nanoscale transistors, and superconductors. In addition, we survey the application of NEGF in fields beyond condensed matter, where it has been used to study thermalization in ultra-cold atoms and to understand leptogenesis in the early universe. Throughout, we pay special attention to the challenges of incorporating contacts and interactions, as the NEGF method is uniquely capable of accounting for such features.