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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“多即不同”与可持续发展目标：热电


通过线性响应理论连接宏观可​​观测值和微观过程的热格林函数形式主义是在 20 世纪 60 年代初建立的，当时我开始了我的研究生涯。我记得在这种技术的帮助下探索布洛赫电子在磁场中的输运和热力学性质，特别是轨道磁性和霍尔效应时的刺激经历，这种技术对于理解像狄拉克和韦尔电子这样的窄带隙系统非常有用。目前的兴趣。简要介绍了基于 Kubo-Luttinger 公式的热电最近面临的挑战；考虑到可持续发展目标，这是一个重要的科学问题，有待凝聚态物理学的贡献，其中热格林函数再次成为一个强大的工具。