电子拓扑跃迁简明指南
Concise guide for electronic topological transitions
摘要：
在这篇简短的评论中，我们通过电子拓扑跃迁（ETT）研究的里程碑，并专注于在其经典理论中提出的想法的一些最新应用。这些是：二维电子系统、de Haas-van Alphen效应、多维系统中ETT的分类、接近ETT的系统中的超导性、重费米子系统中的热电性，其中费米面（FS）的拓扑变化是由磁场引起的。ETT的研究历史与哈尔科夫凝聚态物理学派有着千丝万缕的联系。Lifshitz，V.G.Bar'yakhtar和许多其他。其中包括莫伊塞·伊萨科维奇·卡加诺夫，他在研究FS的几何和拓扑结构在金属物理性质中的作用方面做出了很大贡献。两名提交人（A. V.和Y.G.）我很荣幸也很高兴能和“音乐家”一起工作，因为所有的朋友都叫卡加诺夫;我们所有人都从他的书中学习到了科学的细微之处。卡加诺夫和利夫希茨写道：“费米表面是上演电子生命戏剧的舞台。”我们将这项工作献给他们的记忆。
英文摘要：
In this short review we pass through the milestones in the studies of the electronic topological transitions (ETT) and focus on some recent applications of the ideas worked out in their classical theory. These are: two-dimensional electron systems, de Haas-van Alphen effect, classification of ETT in multidimensional systems, superconductivity in systems close to ETT, thermoelectricity in heavy-fermion systems, where the cascades of topological changes of Fermi surface (FS) are generated by magnetic field. The history of studies of ETT is inextricably linked with Kharkov school of condensed matter physics, with such names as I.M. Lifshitz, V.G.Bar'yakhtar and many other. Among them is Moisey Isaakovich Kaganov, who contributed much in studies of the role of geometry and topology of FS in physical properties of the metals. Two of the authors (A.V. and Y.G.) had a honor and pleasure to work with "Musik", as all friends called Kaganov; all of us have been learning the niceties of science from his books. "The Fermi surface is the stage on which the drama of the life of the electron is played out" wrote Kaganov and Lifshitz. We devote this work to their memory.
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