The thermal Green's function formalism bridging between macroscopic observables and microscopic processes via linear response theory was established in the early 1960s, when I started my research career. I recall stimulating experiences with the help of this technique in exploring transport and thermodynamic properties of Bloch electrons in magnetic fields, especially orbital magnetism and the Hall effect, and this technique is useful for understanding narrow gap systems like Dirac and Weyl electrons, which are of current interest. Recent ongoing challenges on thermoelectricity based on the Kubo–Luttinger formula are briefly introduced; it is an important scientific issue in view of sustainable development goals that awaits contributions from condensed matter physics, where the thermal Green's function is again a powerful tool.

中文翻译：

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“越多越不同”和可持续发展目标：热电


通过线性响应理论在宏观可观察物和微观过程之间架起桥梁的热格林函数形式主义是在 1960 年代初期建立的，当时我开始了我的研究生涯。我记得在探索 Bloch 电子在磁场中的传输和热力学特性，尤其是轨道磁性和霍尔效应时，借助这项技术进行刺激的经历，这项技术对于理解当前感兴趣的 Dirac 和 Weyl 电子等窄间隙系统很有用。简要介绍了基于 Kubo-Luttinger 公式的热电方面最近持续的挑战;鉴于可持续发展目标，这是一个重要的科学问题，有待凝聚态物理学的贡献，其中热绿的功能再次成为一个强大的工具。